Resistance, Resistivity and Ohm’s Law

Describe the resistance of an object using physical properties of that object.

  • Resistance is a measure of the degree to which an object opposes the movement of electric charge.
  • The resistance of a resistor with uniform geometry is proportional to its resistivity and length and is inversely proportional to its cross-sectional area. Relevant equation:
    • Resistivity is a fundamental property of a material that depends on its atomic and molecular structure and quantifies how strongly the material opposes the motion of electric charge.
    • The resistivity of a conductor typically increases with temperature.

Describe the electrical characteristics of elements of a circuit.

  • Ohm’s law relates current, resistance, and potential difference across a conductive element of a circuit. Relevant equation:
    • Materials that obey Ohm’s law have constant resistance for all currents and are called ohmic materials.
    • The resistivity of an ohmic material is constant regardless of temperature.
    • Resistors can also convert electrical energy to thermal energy, which may change the temperature of both the resistor and the resistor’s environment.
    • The resistance of an ohmic circuit element can be determined from the slope of a graph of the current in the element as a function of the potential difference across the element.

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Simulation page: Circuit Construction Kit: DC

Simulation page: Ohm's Law

Simulation page: Resistance in a Wire

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