Embibe Experts Solutions for Chapter: Electromagnetic Induction, Exercise 1: BITSAT 2017

A semicircular wire of radius $r$ rotates in uniform magnetic field $B$ about its diameter with angular velocity $\omega$. If the total resistance of the circuit is $R$, then the mean power generated per period of rotation is

A charged capacitor of capacitance $C$ is discharging through a resistor of resistance $R$. At what time the charge on the capacitor is equal to one half of its initial value?

In a coil of resistance $50 \mathrm{\Omega }$, the induced current developed by changing magnetic flux through it, is shown in figure as a function of time. The magnitude of change in flux through the coil is

Two inductors $L_1$ and $L_2$ are connected in parallel and a time varying current flows as shown in figure. The ratio ot current $\frac{i_1}{i_2}$ at any ime $t$ Is

A resistor $R$, an inductor $L$, a capacitor $C$ and voltmeters $V_1,V_2$ and $V_3$ are connected to an oscillator in the circuit as shown in the adjoining diagram. When the frequency of the oscillation is increased, then at the resonant frequency, the voltmeter reading is zero in the case of

A conducting circular loop is placed in a uniform magnetic field, $B=0.025 \mathrm{T}$ with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of $1 \mathrm{mm} {\mathrm{s}}^{-1}$. The induced emf when the radius is $2 \mathrm{cm}$, is