Electromagnetic Induction

A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field B exists into the page. The bar starts to move from the vertex at time $t=0$ with a constant velocity. If the induced EMF…

In the given figure the magnetic flux through the loop increases according to the relation $\varphi\,_{B}(t)=10t^{2}+20t$, where $\varphi\,_{B}$ is in milliwebers and $t$is in seconds. The magnitude of current through…

Consider an electrical circuit containing a two way switch $S.$ Initially $S$ is open and then $T_{1}$ is connected to $T_{2}.$As the current in $R=6\Omega\,$ attains a maximum value of steady-state level, $T_{1}$ is…

In the given circuit below inductance values of $L_1$, $L_2$ and $L_3$ are same. The magnetic energy stored in the entire circuit is $(U_t)$ and that stored in the $L_2$ inductor is $(U_l)$. $U_t / U_l$ is __________.…

When a coil is connected across a $20 \mathrm{~V}$ dc supply, it draws a current of $5 \mathrm{~A}$. When it is connected across $20 \mathrm{~V}, 50 \mathrm{~Hz}$ ac supply, it draws a current of $4 \mathrm{~A}$. The…

A rectangular loop of sides $12\mathrm{cm}$ and $5\mathrm{cm}$, with its sides parallel to the $x$-axis and $y$-axis respectively moves with a velocity of $5\mathrm{cm}s^{-1}$ in the positive $x$ axis direction, in a…

A square loop PQRS having 10 turns, area $3.6 \times 10^{-3} \mathrm{~m}^2$ and resistance $100 \Omega$ is slowly and uniformly being pulled out of a uniform magnetic field of magnitude $\mathrm{B}=0.5 \mathrm{~T}$ as…

The magnetic field in a region is given by$\vec{B}=B_{0}\left(\frac{x}{a}\right)\hat{k}$. A square loop of side d is placed with its edges along the $x$and $y$axes. The loop is moved with a constant velocity…

A small square loop of wire of side$l$is placedinside a large square loop of wire of side $L$$\left(L=l^{2}\right)$.The loops are coplanar and their centers coincide. The value of the mutual inductance of thesystem…

A square loop of side $10\mathrm{cm}$ and resistance $0.7\Omega\,$ is placed vertically in the east-west plane. A uniform magnetic field of $0.20T$ is set up across the plane in the north-east direction. The magnetic…

In the given circuit the sliding contact is pulled outwards such that electric current in the circuit changes at the rate of $8 \mathrm{~A} / \mathrm{s}$. At an instant when R is $12 \Omega$, the value of the current in…

A conducting loop of radius $\frac{10}{\sqrt{\pi\,}}\mathrm{cm}$ is placed perpendicular to a uniform magnetic field of $0.5T$. The magnetic field is decreased to zero in $0.5s$ at a steady rate. The induced emf in the…