1

**Calculate Magnetic Flux**

Find the flux of the vector $H$ through the spherical surface $S$ of radius $R$, whose centre lies on the surface of the magnetic.

Medium level questions

11 min read

- Want to practice more questions? Here are the Medium level questions

1

Find the flux of the vector $H$ through the spherical surface $S$ of radius $R$, whose centre lies on the surface of the magnetic.

2

A triangular wire frame (each side of $2$$m$) is placed in a region of time variant magnetic field having $dB/dt=3 T/s$. The magnetic field is perpendicular to the plane of the triangle. The base of the triangle AB has a resistance $1$$Ω$ while the other two sides have resistance $2$$Ω$ each. The magnitude of potential difference between the points A and B will be :

A flat coil, C, of n turns, area A and resisitance R is placed in a uniform magnetic field of magnitude B. The plane of the coil is initially perpendicular to B. If the coil is rotated by an angle about the axis XY, charge of amount Q flows through it.

This question has multiple correct optionsIn Figure , two straight conducting rails form a right angle. A conducting bar in contact with the rails starts at the vertex at time *t *= 0 and moves with a constant velocity of 5.20 m/s along them. A magnetic field with *B *= 0.350 T is directed out of the page. Calculate (a) the flux through the triangle formed by the rails and bar at *t *= 3.00 s and

(b) the emf around the triangle at that time.

(c) If the emf is $E=at_{n}$, where *a *and *n *are

constants, what is the value of *n*?

3

A solenoid with $600$ turns per metre and a radius of $2$ $cm$, carries a time varying current $i(t)=(6+4t_{2}$) A. The electric field at a distance $4$ $cm$ from the axis of the solenoid at $t=2$ $s$ will be $($in $μ$V m$_{−1}$ to the nearest integer )

4

Two metal bars are fixed vertically and are connected on the top by a capacitor C. A sliding conductor AB of length L slides with its ends in contact with the bars. The arrangement is placed in a uniform horizontal magnetic field directed normal to the plane of the figure. The conductor is released from rest. The displacement (x) in meter of the conductor at time $t=2sec$ is:

(Given $m=100gm,g=10m/s_{2},B=100Tesla,L=1m,andC=10μF$)

(Given $m=100gm,g=10m/s_{2},B=100Tesla,L=1m,andC=10μF$)

Find the speed of the connector as a function of time if the force $F$ is applied at $t=0$.

5

AB is an infinitely long wire placed in the plane of rectangular coil of dimensions as shown in the figure. Calculate the mutual inductance of wire AB and PQRS

6

A circular loop of radius $0.3cm$ lies parallel to a much bigger circular loop of radius $20cm$. The centre of the small loop is on the axis of the bigger loop. The distance between their centres is $15cm$. If a current of $2.0A$ flows through the smaller loop, then the flux linked with bigger loop is

7

Two coplanar circular coils of equal radius carrying currents $i_{1},i_{2}$ in opposite directions are at a large distacne 'd'. The distance from the first coil where the resultant magnetic induction is zero is

8

An inductive circuit contains a resistance of 10 ohms and an inductance of 2 Henry. If an alternating voltage of 120 V and frequency 60 Hz is applied to this circuit, the current in the circuit would be nearly

9

Calculate the equivalent inductance of the following inductive circuit.

10

In figure, switch S is closed for a long time. At t=0, if it is opened then,

11

An electric motor operating on a $60V$ dc supply draws a current of $10A.$ If the efficiency of the motor is $50%$, the resistance of its winding is