Faraday's equation is a mathematical expression that relates the rate of change of magnetic flux to the induced electromotive force (emf) in a closed circuit. It is named after the physicist Michael Faraday who first described it in the 1830s.
Finding the derivative for Faraday's equation is important because it allows us to calculate the rate of change of magnetic flux and determine the strength of the induced emf in a circuit. This is useful in applications such as generators, motors, and transformers.
To find the derivative for Faraday's equation, you can use the formula: dΦ/dt = -N(dB/dt), where dΦ/dt represents the rate of change of magnetic flux, N is the number of turns in the coil, and dB/dt is the rate of change of magnetic field strength.
The units for the derivative of Faraday's equation are volts per second (V/s) or webers per second (Wb/s).
No, Faraday's equation can only be applied to closed circuits where the magnetic flux is changing. In non-closed circuits, the emf may still be induced, but it cannot be calculated using this equation.