Question

Which of the following statement best describe the Faraday's Law?

• A. the induced voltage in a coil is proportional to the number of turns in the coil and to the rate at which the magnetic field is changing
• B. the induced voltage in a coil is equal to the rate at which the magnetic field is changing
• C. the induced voltage in a coil is proportional to the number of turns in the coil and to the strength of the magnetic field
• D. the induced voltage in a coil is proportional to the number of turns in the coil and to the size of the magnetic field
• E. the induced voltage in a coil proportional to the number of turns in the coil and to the source of the magnetic field

Answer 1

The correct option is A the induced voltage in a coil is proportional to the number of turns in the coil and to the rate at which the magnetic field is changing

Faraday's Law states that when the magnetic flux linking a circuit changes, an electromotive force is induced in the circuit proportional to the rate of change of the flux linkage.

Flux through a coil is given as $\varphi =\left(NA\right)B$

Thus the induced voltage is $\frac{d\varphi }{dt}=NA\frac{dB}{dt}$

$\propto N\frac{dB}{dt}$