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Ohm’s Law

Ohm’s Law. Ohm’s Law. Ohm’s Law states that the voltage v across a resistor is directly proportional to the current flowing through it. Resistance. The resistance R of an element denotes its ability to resist the flow of electric current, measured in ohms ( ). 1 ohm = 1 volt / ampere.

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Ohm’s Law

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  1. Ohm’s Law

  2. Ohm’s Law • Ohm’s Law states that the voltage v across a resistor is directly proportional to the current flowing through it

  3. Resistance • The resistance R of an element denotes its ability to resist the flow of electric current, measured in ohms (). • 1 ohm = 1 volt / ampere

  4. Resistance (cont.) • A short circuit is a circuit element with resistance approaching zero. • R = 0, short circuit: v = iR = 0 • An open circuit is a circuit element with resistance approaching infinity. • R = ∞, open circuit:

  5. Conductance • A useful quantity in circuit analysis is the reciprocal of resistance R, known as conductance G. • Conductance is a measure of how well an element will conduct electric current, measured in mhos, or siemens (S).

  6. Power Using Ohm’s Law • and therefore, • Power in terms of R: • Power in terms of G:

  7. Notes on Power • The power dissipated in a resistor is a nonlinear function of either current or voltage. • Since R and G are positive quantities, the power dissipated in a resistor is always positive. This means that a resistor always absorbs power from the circuit.

  8. Examples • In the circuit below, calculate the current i, the conductance G, and the power p.

  9. Examples • Calculate the voltage v, the conductance G, and the power p.

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