Series Circuits - Revision history

Sydney: /* References */

2019-10-17T21:23:25Z

References

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	:Maria, Ana. “Thomas Alva Edison And His Light Show Of Menlo Park, New Jersey Happened 139 Years Ago.” The Awesome Daily - Your Daily Dose of Awesome, The Awesome Daily, 2 Jan. 2018, https://theawesomedaily.com/thomas-alva-edison-light-bulb/.		:Maria, Ana. “Thomas Alva Edison And His Light Show Of Menlo Park, New Jersey Happened 139 Years Ago.” The Awesome Daily - Your Daily Dose of Awesome, The Awesome Daily, 2 Jan. 2018, https://theawesomedaily.com/thomas-alva-edison-light-bulb/.
	:Matter & Interactions, Vol. II: Electric and Magnetic Interactions, 4nd Edition by R. Chabay & B.Sherwood (John Wiley & Sons 2015)		:Matter & Interactions, Vol. II: Electric and Magnetic Interactions, 4nd Edition by R. Chabay & B.Sherwood (John Wiley & Sons 2015)
			:“Resistor Fundamentals " Resistor Guide.” RSS, http://www.resistorguide.com/fundamentals/.
	:Soclof, Sidney. HowStuffWorks. HowStuffWorks.com. Web. 30 Nov. 2015.		:Soclof, Sidney. HowStuffWorks. HowStuffWorks.com. Web. 30 Nov. 2015.

	[[Category:Simple Circuits]]		[[Category:Simple Circuits]]

Sydney: /* References */

2019-10-17T21:18:09Z

References

← Older revision		Revision as of 17:18, 17 October 2019
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	:"All About Circuits - Electrical Engineering & Electronics Community." All About Circuits - Electrical Engineering & Electronics Community. Web. 30 Nov. 2015.		:"All About Circuits - Electrical Engineering & Electronics Community." All About Circuits - Electrical Engineering & Electronics Community. Web. 30 Nov. 2015.
	:"Build Electronic Circuits - Electronics Explained in a Simple Way." Build Electronic Circuits. Web. 30 Nov. 2015.		:"Build Electronic Circuits - Electronics Explained in a Simple Way." Build Electronic Circuits. Web. 30 Nov. 2015.
			:Maria, Ana. “Thomas Alva Edison And His Light Show Of Menlo Park, New Jersey Happened 139 Years Ago.” The Awesome Daily - Your Daily Dose of Awesome, The Awesome Daily, 2 Jan. 2018, https://theawesomedaily.com/thomas-alva-edison-light-bulb/.
	:Matter & Interactions, Vol. II: Electric and Magnetic Interactions, 4nd Edition by R. Chabay & B.Sherwood (John Wiley & Sons 2015)		:Matter & Interactions, Vol. II: Electric and Magnetic Interactions, 4nd Edition by R. Chabay & B.Sherwood (John Wiley & Sons 2015)
	:Soclof, Sidney. HowStuffWorks. HowStuffWorks.com. Web. 30 Nov. 2015.		:Soclof, Sidney. HowStuffWorks. HowStuffWorks.com. Web. 30 Nov. 2015.

	[[Category:Simple Circuits]]		[[Category:Simple Circuits]]

Sydney: /* The Loop Rule */

2019-10-17T19:47:25Z

The Loop Rule

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	:One can visualize this circuit as simply a closed loop. simple circuits often contain multiple components of differing resistances and functions which can be solved for using the loop rule. These components include: resistors, switches, capacitors, inductors, and of course, batteries.		:One can visualize this circuit as simply a closed loop. simple circuits often contain multiple components of differing resistances and functions which can be solved for using the loop rule. These components include: resistors, switches, capacitors, inductors, and of course, batteries.

	==The Loop Rule==		'''The Loop Rule'''
	:The non-equilibrium steady-state nature of a series circuit allows for relatively simple calculations needed to define the quantities of components around a circuit.		:The non-equilibrium steady-state nature of a series circuit allows for relatively simple calculations needed to define the quantities of components around a circuit.
	:When attempting to solve for said quantities along a series circuit, simply follow "The Loop Rule", derived from Kirchhoff's laws as well as Ohm's law that allow for electric potential, current, or resistance(s) to be solved for.		:When attempting to solve for said quantities along a series circuit, simply follow "The Loop Rule", derived from Kirchhoff's laws as well as Ohm's law that allow for electric potential, current, or resistance(s) to be solved for.

Sydney: /* History */

2019-10-17T19:41:44Z

History

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	:'''Alessandro Volta'''		:'''Alessandro Volta'''

	:Towards the late 19th century, Volta' concept of the closed-loop circuit inspired Inventors like Thomas Elva Edison to create a system of circuits to power the famous and world changing "~~Light Bulb~~". Starting with western society, the industrial revolution was propelled by the powering and illuminating of cities by ~~Light Bulbs~~.		:Towards the late 19th century, Volta' concept of the closed-loop circuit inspired Inventors like Thomas Elva Edison to create a system of circuits to power the famous and world changing "light bulb". Starting with western society, the industrial revolution was propelled by the powering and illuminating of cities by light bulbs.
	:Electric circuits involve both direct current, DC, and alternating current, AC. Direct current, current that only flows in one direction, was first used by Thomas Edison for his electric power transmission. Alternating current, current that alternates directions, was first discovered by Nikola Tesla while he was looking for a way to allow power transmissions to travel longer distances than direct current could.		:Electric circuits involve both direct current, DC, and alternating current, AC. Direct current, current that only flows in one direction, was first used by Thomas Edison for his electric power transmission. Alternating current, current that alternates directions, was first discovered by Nikola Tesla while he was looking for a way to allow power transmissions to travel longer distances than direct current could.
	:[[File: Tedison.JPG\|350px]]		:[[File: Tedison.JPG\|350px]]
	:'''Thomas Edison'''		:'''Thomas Edison'''

	:Gustav Robert Kirchhoff was the main contributor to understanding how circuits worked. He was born March 12, 1824 and died on October 17, 1887. In 1845, Kirchhoff ~~founded~~ what is now known as "The Node Rule" to model the conservation of charge around a closed-loop circuit. As a renowned German physicist, he proposed the principles that are now universally accepted laws surrounding the way that circuits function.		:Gustav Robert Kirchhoff was the main contributor to understanding how circuits worked. He was born March 12, 1824 and died on October 17, 1887. In 1845, Kirchhoff suggested what is now known as "The Node Rule" to model the conservation of charge around a closed-loop circuit. As a renowned German physicist, he proposed the principles that are now universally accepted laws surrounding the way that circuits function.
	:[[File:Kirchoff.jpg]]		:[[File:Kirchoff.jpg]]

Sydney: /* Connectedness */

2019-10-17T19:35:12Z

Connectedness

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	:''Is there an interesting industrial application?''		:''Is there an interesting industrial application?''

	:Some realistic applications include making lights, motors, and other electrical appliances work. The most commonly used example for a series circuit is in lighting. However, ~~Series~~ is generally not the ideal setup as the loss of one bulb causes the current to cease and loss of power to all bulbs. On a larger scale, the idea of series is used in everyday household appliances. The device, whether it be a lamp or toaster, is connected into the wall and a switch either flips on to connect the circuit, allowing current to flow or there is a disconnect in the system, causing the entire unit to fail.		:Some realistic applications include making lights, motors, and other electrical appliances work. The most commonly used example for a series circuit is in lighting. However, series is generally not the ideal setup as the loss of one bulb causes the current to cease and the loss of power to all bulbs. On a larger scale, the idea of series is used in everyday household appliances. The device, whether it be a lamp or toaster, is connected into the wall and a switch either flips on to connect the circuit, allowing current to flow or there is a disconnect in the system, causing the entire unit to fail.

	==History==		==History==

Sydney: /* History of Series Circuits */

2019-10-17T19:29:48Z

History of Series Circuits

← Older revision		Revision as of 15:29, 17 October 2019
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	:Some realistic applications include making lights, motors, and other electrical appliances work. The most commonly used example for a series circuit is in lighting. However, Series is generally not the ideal setup as the loss of one bulb causes the current to cease and loss of power to all bulbs. On a larger scale, the idea of series is used in everyday household appliances. The device, whether it be a lamp or toaster, is connected into the wall and a switch either flips on to connect the circuit, allowing current to flow or there is a disconnect in the system, causing the entire unit to fail.		:Some realistic applications include making lights, motors, and other electrical appliances work. The most commonly used example for a series circuit is in lighting. However, Series is generally not the ideal setup as the loss of one bulb causes the current to cease and loss of power to all bulbs. On a larger scale, the idea of series is used in everyday household appliances. The device, whether it be a lamp or toaster, is connected into the wall and a switch either flips on to connect the circuit, allowing current to flow or there is a disconnect in the system, causing the entire unit to fail.

	==History ~~of Series Circuits~~==		==History==

	:Series circuits date as far back as when the first battery was invented. In the 1800's Alessandro Volta invented the first battery called the "Volta's Pile". It was originally used to produce hydrogen and oxygen from water. This sparked ideas in science regarding the concept of a closed-loop of current running through metal conductors.		:Series circuits date as far back as when the first battery was invented. In the 1800's Alessandro Volta invented the first battery called the "Volta's Pile". It was originally used to produce hydrogen and oxygen from water. This sparked ideas in science regarding the concept of a closed-loop of current running through metal conductors.

Sydney: /* Examples */

2019-10-17T19:28:45Z

Examples

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	:[[File:Problem1Series_Circuits.JPG\|350px]]		:[[File:Problem1Series_Circuits.JPG\|350px]]

	'''Solution:'''		'''Solution'''

	:Since the current is dependent on <math> V/R </math> across a resistor, simply plug in the given values for Voltage across the battery and Resistance of the Resistor.		:Since the current is dependent on <math> V/R </math> across a resistor, simply plug in the given values for Voltage across the battery and Resistance of the Resistor.
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	[[File:Problem2Series_Circuits.JPG\|350px]]		[[File:Problem2Series_Circuits.JPG\|350px]]

	'''Solution:'''		'''Solution'''
	:Because <math> V = IR </math>, where V represents the potential difference across the battery,		:Because <math> V = IR </math>, where V represents the potential difference across the battery,
	:1. Find the total Resistance		:1. Find the total Resistance
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	:[[File:Problem3Series_Circuits.JPG\|350px]]		:[[File:Problem3Series_Circuits.JPG\|350px]]

	'''Solution:'''		'''Solution'''
	:1. Note that current across a series circuit is the same due to the node rule.		:1. Note that current across a series circuit is the same due to the node rule.
	::<math>I = 0.65 A</math>		::<math>I = 0.65 A</math>

Sydney: /* Example Series Circuits */

2019-10-16T02:54:42Z

Example Series Circuits

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	:The Potential Difference across a bulb is modeled by <math>V = E_b * L </math> where L represents the gap across the bulb.		:The Potential Difference across a bulb is modeled by <math>V = E_b * L </math> where L represents the gap across the bulb.

	==~~Example Series Circuits~~==		==Examples==

	===Simple===		===Simple===

			'''Question'''

	Find the current flowing across the resistor if the switch in the circuit is closed.		Find the current flowing across the resistor if the switch in the circuit is closed.
	:[[File:Problem1Series_Circuits.JPG\|350px]]		:[[File:Problem1Series_Circuits.JPG\|350px]]

	~~:''~~'''Solution:'''''		'''Solution:'''

	:Since the current is dependent on <math> V/R </math> across a resistor, simply plug in the given values for Voltage across the battery and Resistance of the Resistor.		:Since the current is dependent on <math> V/R </math> across a resistor, simply plug in the given values for Voltage across the battery and Resistance of the Resistor.

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	===Middling===		===Middling===

			'''Question'''

	Find the potential difference across the battery if 0.5 Amperes of current is running through the circuit.		Find the potential difference across the battery if 0.5 Amperes of current is running through the circuit.

	[[File:Problem2Series_Circuits.JPG\|350px]]		[[File:Problem2Series_Circuits.JPG\|350px]]

	'''''Solution:'''''		'''Solution:'''
	:Because <math> V = IR </math>, where V represents the potential difference across the battery,		:Because <math> V = IR </math>, where V represents the potential difference across the battery,
	:1. Find the total Resistance		:1. Find the total Resistance
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	===Difficult===		===Difficult===

			'''Question'''

	The voltage across <math>R_1</math> is 5 volts. The voltage across <math>R_2</math> is 6 volts. What are the resistances of <math>R_1, R_2,</math> and <math>R_3</math> if the current measured across <math>R_3</math> is .65 A and the voltage of the battery is 16V?		The voltage across <math>R_1</math> is 5 volts. The voltage across <math>R_2</math> is 6 volts. What are the resistances of <math>R_1, R_2,</math> and <math>R_3</math> if the current measured across <math>R_3</math> is .65 A and the voltage of the battery is 16V?
	:[[File:Problem3Series_Circuits.JPG\|350px]]		:[[File:Problem3Series_Circuits.JPG\|350px]]

	'''''Solution:'''''		'''Solution:'''
	:1. Note that current across a series circuit is the same due to the node rule.		:1. Note that current across a series circuit is the same due to the node rule.
	::<math>I = 0.65 A</math>		::<math>I = 0.65 A</math>
	:2. Sum of battery voltage is equal to the sum of all voltage across resistors.		:2. Sum of battery voltage is equal to the sum of all voltage across resistors.
	::<math>\sum{V}_{Battery} = \sum{V}_{Components}</math>		::<math>\sum{V}_{Battery} = \sum{V}_{Components}</math>
	::<math>16 V= 5V+ 6V + V_3</math>		::<math>16 V=
			5V+ 6V + V_3</math>
	::<math>V_3 = 5V</math>		::<math>V_3 = 5V</math>
	:3. Use the rearranged Ohm's Law to find the resistances.		:3. Use the rearranged Ohm's Law to find the resistances.

Sydney: /* Main Idea: Circuits and Electric Fields */

2019-10-16T02:52:31Z

Main Idea: Circuits and Electric Fields

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	'''CLAIMED by Rama Sambatur spring 2018'''		'''CLAIMED by Rama Sambatur spring 2018'''
	==Main Idea~~: Circuits and Electric Fields~~==		==The Main Idea==
	:A circuit is an electrical apparatus that is borne out of an electric field mobilizing charges in a conductor and creating a gradient of energy that leads the system to want to reach an equilibrium. However, in a circuit, the applied electric field never reaches zero; hence, the motion of the mobile charges flows for a long time around the conducting circuit through a "Current". This notion depicts a flow of electrons that exists in a "Steady-State" in which the drift velocities of the electrons do not change with time and in which there is no build up of excess charge anywhere along the circuit.		:A circuit is an electrical apparatus that is borne out of an electric field mobilizing charges in a conductor and creating a gradient of energy that leads the system to want to reach an equilibrium. However, in a circuit, the applied electric field never reaches zero; hence, the motion of the mobile charges flows for a long time around the conducting circuit through a "Current". This notion depicts a flow of electrons that exists in a "Steady-State" in which the drift velocities of the electrons do not change with time and in which there is no build up of excess charge anywhere along the circuit.

Sydney at 02:51, 16 October 2019

2019-10-16T02:51:44Z

← Older revision		Revision as of 22:51, 15 October 2019
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	'''CLAIMED by Rama Sambatur spring 2018'''		'''CLAIMED by Rama Sambatur spring 2018'''
	==~~'''~~Main Idea: Circuits and Electric Fields~~'''~~==		==Main Idea: Circuits and Electric Fields==
	:A circuit is an electrical apparatus that is borne out of an electric field mobilizing charges in a conductor and creating a gradient of energy that leads the system to want to reach an equilibrium. However, in a circuit, the applied electric field never reaches zero; hence, the motion of the mobile charges flows for a long time around the conducting circuit through a "Current". This notion depicts a flow of electrons that exists in a "Steady-State" in which the drift velocities of the electrons do not change with time and in which there is no build up of excess charge anywhere along the circuit.		:A circuit is an electrical apparatus that is borne out of an electric field mobilizing charges in a conductor and creating a gradient of energy that leads the system to want to reach an equilibrium. However, in a circuit, the applied electric field never reaches zero; hence, the motion of the mobile charges flows for a long time around the conducting circuit through a "Current". This notion depicts a flow of electrons that exists in a "Steady-State" in which the drift velocities of the electrons do not change with time and in which there is no build up of excess charge anywhere along the circuit.

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	:The Potential Difference across a bulb is modeled by <math>V = E_b * L </math> where L represents the gap across the bulb.		:The Potential Difference across a bulb is modeled by <math>V = E_b * L </math> where L represents the gap across the bulb.

	==~~'''~~Example Series Circuits~~'''~~==		==Example Series Circuits==

	===Simple===		===Simple===
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	::<math>R_3=\frac{5V}{.65 A}=7.69 Ω</math>		::<math>R_3=\frac{5V}{.65 A}=7.69 Ω</math>

	==~~'''~~Connectedness~~'''~~==		==Connectedness==
	:''How is this topic connected to something that you are interested in?''		:''How is this topic connected to something that you are interested in?''

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	:Some realistic applications include making lights, motors, and other electrical appliances work. The most commonly used example for a series circuit is in lighting. However, Series is generally not the ideal setup as the loss of one bulb causes the current to cease and loss of power to all bulbs. On a larger scale, the idea of series is used in everyday household appliances. The device, whether it be a lamp or toaster, is connected into the wall and a switch either flips on to connect the circuit, allowing current to flow or there is a disconnect in the system, causing the entire unit to fail.		:Some realistic applications include making lights, motors, and other electrical appliances work. The most commonly used example for a series circuit is in lighting. However, Series is generally not the ideal setup as the loss of one bulb causes the current to cease and loss of power to all bulbs. On a larger scale, the idea of series is used in everyday household appliances. The device, whether it be a lamp or toaster, is connected into the wall and a switch either flips on to connect the circuit, allowing current to flow or there is a disconnect in the system, causing the entire unit to fail.

	==~~'''~~History of Series Circuits~~'''~~==		==History of Series Circuits==

	:Series circuits date as far back as when the first battery was invented. In the 1800's Alessandro Volta invented the first battery called the "Volta's Pile". It was originally used to produce hydrogen and oxygen from water. This sparked ideas in science regarding the concept of a closed-loop of current running through metal conductors.		:Series circuits date as far back as when the first battery was invented. In the 1800's Alessandro Volta invented the first battery called the "Volta's Pile". It was originally used to produce hydrogen and oxygen from water. This sparked ideas in science regarding the concept of a closed-loop of current running through metal conductors.