Embibe Experts Solutions for Chapter: Electromagnetic Induction, Exercise 3: Exercise - 3

A rectangular loop has a sliding connector $PQ$ of length $l$ and resistance $R \mathrm{\Omega }$ and it is moving with a speed $v$ as shown. The set-up is placed in a uniform magnetic field going into the plane of the paper. The three currents $I_1, I_2 \mathrm{and} I$ are:

A fully charged capacitor $C$ with initial charge $q_0$ is connected to a coil of self-inductance $L$ at $t=0.$The time at which the energy is stored equally between the electric and the magnetic fields is:

A boat is moving due east in a region where the earth's magnetic field is $5.0\times {10}^{-5} \mathrm{N} {\mathrm{A}}^{-1} {\mathrm{m}}^{-1}$ due north and horizontal. The boat carries a vertical aerial $2 \mathrm{m}$ long. If the speed of the boat is $1.50 \mathrm{m} {\mathrm{s}}^{-1}$, the magnitude of the induced emf in the wire of aerial is

A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. When a current is passed through the coil, it starts oscillating; it is very difficult to stop. But if an aluminium plate is placed near to the coil, it stops. This is due to 
 

A metallic rod of length $l$ is tied to a string of length $2l$ and made to rotate with angular speed $\omega$ on a horizontal table with one end of the string fixed. If there is a vertical magnetic field $B$ in the region, the emf induced across the ends of the rod is:

In the circuit shown here, the point $C$is kept connected to point $A$ till the current flowing through the circuit becomes constant. Afterward, suddenly point $C$ is disconnected from point $A$ and connected to point $B$ at time $t=0.$Ratio of the voltage across resistance and the inductor at $t=\frac{L}{R}$ will be equal to:

An inductor $\left(L=0.03 \mathrm{H}\right)$ and a resistor $\left(R=0.15 \mathrm{k\Omega }\right)$ are connected in series to a battery of $15 \mathrm{V}$ emf in a circuit shown below. The key $K_1$ has been kept closed for a long time. Then at $t=0$, $K_1$ is opened and key $K_2$ is closed simultaneously. At $t=1 \mathrm{ms}$, the current in the circuit will be $\left(e^5\cong 150\right)$

In a coil resistance $100 \mathrm{\Omega },$ a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is: