Ohm’s Law

Ohm’s Law states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the conductor and inversely proportional to the resistance (R) of the conductor, provided the temperature remains constant.

At a constant temperature, the electrical current flowing through a fixed linear resistance is directly proportional to the voltage applied across it, and also inversely proportional to the resistance.

Voltage is proportional to current, hence

\(\begin{array}{l}V\propto I\end{array} \)

\(\begin{array}{l}V=IR\end{array} \)

Where:

  • V = Voltage across the conductor (in volts, V)
  • I = Current flowing through the conductor (in amperes, A)
  • R = Resistance of the conductor (in ohms, Ω)

Other Forms of Ohm’s Law

\(\begin{array}{l}I=\frac{V}{R}\end{array} \)

\(\begin{array}{l}R=\frac{V}{I}\end{array} \)

\begin{equation}R = \frac{\rho l}{A}\end{equation}

R=ρlAR = \frac{\rho l}{A}

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