What is the induced emf in a coil if the flux associated with it changes at the rate of 1 Weber per minute ? a) 1\ Volt b) 160\ Volt c) 60\ Volt d) Zero

The induced emf $\mathcal{E}$ in a coil is given by Faraday’s law of electromagnetic induction:

$$\mathcal{E}=-\frac{d{\Phi }_B}{dt}$$

where $\frac{d{\Phi }_B}{dt}$ is the rate of change of magnetic flux.

Given:

• Rate of change of flux, $\frac{d{\Phi }_B}{dt}=1Weber/minute$.

First, convert the rate to Weber per second (SI unit): $$1Weber/minute=\frac{1}{60}Weber/second$$

Now, substitute into Faraday’s law (ignoring the negative sign, which indicates direction): $$\mathcal{E}=\frac{1}{60}\mathrm{Volt}$$

Thus, the induced emf in the coil is $\frac{1}{60}\mathrm{Volt}$. The correct option is (b).