D. C. Pandey Solutions for Chapter: Electromagnetic Induction, Exercise 11: [ Level 2 ]

Switch $S$ of the circuit shown in figure is closed at $t=0$. If $e$ denotes the induced $\mathrm{emf}$ in $L$ and $i$, the current flowing through the circuit at time $t$, which of the following graphs is correct?

A coil of inductance $L=50 \mu \mathrm{H}$ and resistance $=0.5 \mathrm{\Omega }$ is connected to a battery of $\mathrm{emf}=5 \mathrm{V}$. A resistance of $10 \mathrm{\Omega }$ is connected parallel to the coil. Now at some instant the connection of the battery is switched off. Then, the amount of heat generated in the coil after switching off the battery is

A pair of coils of turns $n_1$ and $n_2$ are kept close together. Current passing through the first is reduced at rate $r$, and emf $3 \mathrm{mV}$ is developed across the other coil. If the second coil carries current which is then reduced at the rate $2r$, the emf produced across the first coil will be

An $L$-$C$ circuit contains a $0.60 \mathrm{H}$ inductor and a $25 \mu \mathrm{F}$ capacitor. What is the rate of change of the current (in $\mathrm{A} {\mathrm{s}}^{-1}$), when the charge on the capacitor is $3.0\times {10}^{-5} \mathrm{C}?$

A capacitor of capacity $2 \mu \mathrm{F}$ is charged to a potential difference of $12 \mathrm{V}$. It is then connected across an inductor of inductance $0.6 \mathrm{mH}$. The current in the circuit at a time, when the potential difference across the capacitor is $6 \mathrm{V}$

In the circuit shown, the coil has inductance and resistance. When $X$ is joined to $Y$, the time constant is $\tau$ during growth of current. When the steady state is reached, heat is produced in the coil at a rate $P$. $X$ is now joined to $Z$,

A loop, made of straight edges has six corners at  $A\left(0,0,0\right),B\left(L,0,0\right),C\left(L,L,0\right),D\left(0,L,0\right),E\left(0,L,L\right)$ and $F\left(0,0,L\right)$; where $L$ is in $\mathrm{m}$. A magnetic field $B=B_0\left(\hat{\mathrm{i}}+\hat{\mathrm{k}}\right)\mathrm{T}$ is present in the region. The flux passing through the loop $ABCDEFA$ (in that order) is

The self inductance $L$ of a solenoid of length $l$ and area of cross-section $A$, with a fixed number of turns $N$ increases as