Resistors and Conductivity: Difference between revisions

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The resistance of a material can be calculated in several ways. The most common method relates resistance to the potential difference and the conventional current of the circuit, using the equation <math>R = {\frac{ΔV}{I}}</math> where ΔV is the potential difference across the resistor and I is the conventional current running through the circuit.
The resistance of a material can be calculated in several ways. The most common method relates resistance to the potential difference and the conventional current of the circuit, using the equation <math>R = {\frac{ΔV}{I}}</math> where ΔV is the potential difference across the resistor and I is the conventional current running through the circuit.
Another equation used to quantify resistance relates it to certain properties of the material and geometric properties of the resistor itself:


What are the mathematical equations that allow us to model this topic.  For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.
What are the mathematical equations that allow us to model this topic.  For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.

Revision as of 19:10, 25 November 2015

A resistor is a component of a circuit that acts to reduce both the flow of current and the voltage levels within the circuit. When current runs through a resistor, the energy stored within particles is converted to another form of energy, typically indicated by the emission of light or heat. Conductivity is a property of a given material that refers to the material's ability to transmit electricity. Conductivity and resistivity are opposites; that is, the higher the conductivity of a material, the less resistance it offers to the flow of current.

Resistors in Parallel

Resistors in Series

Relevant Equations

The resistance of a material can be calculated in several ways. The most common method relates resistance to the potential difference and the conventional current of the circuit, using the equation [math]\displaystyle{ R = {\frac{ΔV}{I}} }[/math] where ΔV is the potential difference across the resistor and I is the conventional current running through the circuit.

Another equation used to quantify resistance relates it to certain properties of the material and geometric properties of the resistor itself:

What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.

A Computational Model

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

Examples

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