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

A uniform magnetic field is restricted within a region of radius r. The magnetic field changes. with time at a rate $\frac{dB}{dt}$ Loop $2$ of radius R is outside the region of magnetic field as shown in the figure below. Then the e,m.f generated is :

Figure shows a circuit that contains three identical resistors with resistance $R=9.0 \mathrm{\Omega }$ each two identical inductors, with inductance $L=2.0 \mathrm{mH}$ each and an ideal battery with emf $\epsilon =18 \mathrm{V}$. The current battery just after the switch closed is-

An inductor of inductance, $L=400 \mathrm{mH}$ and resistors of resistances, $R_1=2 \mathrm{\Omega }$ and $R_2=2 \mathrm{\Omega }$ are connected to a battery of emf $12 \mathrm{V}$ as shown in the figure. The internal resistance of the battery is negligible. The switch $S$ is closed at $t=0$. The potential drop across $L$ as a function of time is,

In the circuit shown below, the key $K$ is closed at $t=0$. The current through the battery is:

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 $15 \mathrm{V} \mathrm{EMF}$ 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 of $100 \mathrm{\Omega }$, 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,

A conducting circular loop made of a thin wire has area $3.5\times {10}^{-3}{ \mathrm{m}}^2$ and resistance $10 \mathrm{\Omega }$. It is placed perpendicular to a time dependent magnetic field, $B\left(t\right)=\left(0.4\right)\sin \left(50\pi t\right) \mathrm{T}$. The field is uniform in space. Then, the net charge flowing through the loop during $t=0 \mathrm{s}$ and $t=10 \mathrm{ms}$ is close to,

A copper wire is wound on a wooden frame. Each side of the frame is increased by a factor of $3$. If the number of turns of the coil per unit length of the frame remains the same, then the self inductance of the coil ______________.