Embibe Experts Solutions for Exercise 6: Assignment Set-2

In the circuit shown in the figure, the steady state current in the coil of self-inductance $L_1$ after the switch $S$ is closed, is

There are two stationary coils having mutual inductance $M,$ between them. The current in one of the coils is increasing with time as $I=Kt$ where $K$ is constant and $t$ is the time. The expression for the current in the other coil as a function of time $t,$ its resistance and inductance are $R$ and $L$ respectively is

A circular coil of area $0.2{ \mathrm{m}}^2, 250$ turns and resistance, $5 \mathrm{\Omega }$ is placed in a magnetic field. The magnetic field is directed perpendicular to the plane of coil, and it is increased from $0.01 \mathrm{T}$ to $0.06 \mathrm{T}$ during a time interval of $0.25 \mathrm{s},$ the average induced current in the coil is, 

Three loops $A, B$ and $C,$ and an observer is positioned as shown in the figure. As seen by the observer, constant current $l$ flows in middle loop $B$ in counter-clockwise direction and loop $B$ is moving towards observer with a velocity $v.$ The same observer would notice that

In the circuit shown below, the switch $S$ is closed at $t=0.$ Which of the following best represents the voltage across the inductor?

A time-varying magnetic field is directed into the page as shown in figure and it is decreasing at constant rate of $150 \mathrm{T}/\mathrm{s}.$ The reading of ammeter is

A vertical ring of radius $r$ is made of a uniform wire of resistance $R.$ It slips vertically between two frictionless and resistanceless vertical rails. There is a uniform magnetic field $B$ perpendicular to plane of ring and rails as shown in figure. When the speed of ring is $v,$ then the current in section $PQ$ at that instant is $\frac{NBvr}{2R}.$ Value of $N$ is _____

Flux $\left(\varphi \right)$ in a closed conducting loop of resistance $10\Omega$ varies with time $\left(t\right)$ as $\varphi =2t^2+3t+1 \mathrm{Wb},$ where $t$ is in seconds. The charge flown (in C) through a cross-section between $t=0$ to $t=2 \mathrm{s}$ is _____