Home
Class 12
PHYSICS
A semicircular loop of radius R is rotat...

A semicircular loop of radius R is rotated about its straight edge which divides the space into two regions one having a uniform magnetic field B and the other having no field. If initially the plane of loop is perpendicular to B (as shown). And if current flowing from O to A be taken as positive, the correct plot of induced current v/s time for one time period is :

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
D
Emf induced when a loop rotates in a magnetic field is `(e = Ns B omega sin omegat)`, which is a sinusoidal function. Therefore, induced current will also be sinusoidal as shown

The curve will be negative, because initially the flux decreases from `t = 0` to `T//4`
and then from `t = (3T)/(4)` to `(T)/(4)`
But from `t = (T)/(4)` to `(3T)/(4)`, there will be no induced current as there is no field on the right side. Hence, the current produced will be as shown.
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.63|9 Videos

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.64|20 Videos

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.61|20 Videos

  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise High Level Problems (HIP)|19 Videos

  • ELECTRO MAGNETIC WAVES

    RESONANCE ENGLISH|Exercise Exercise 3|27 Videos

Similar Questions

Explore conceptually related problems

A conducting circular loop of radius r is rotated about its diameter at a constant angular velocity omega in a magnetic field B perpendicular to the axis of rotation. In what position of the loop is the induced emf zero?

A semicircular loop of radius R is rotated with an angular velocity omega perpendicular to the plane of a magnetic field B as shown in the figure. Emf Induced in the loop is

A conducting circular loop of radius a is connected to two long, straight wires . The straight wires carry a current I as shown in figure . Find the magnetic field B at the centre of the loop.

A conducting circular loop of radius r carries a constant current i. It is placed in a uniform magnetic field B such that B is perpendicular to the plane of loop. What is the magnetic force acting on the loop?

A circular loop of radius r moves with a constant velocity v in a region with uniform magnetic field B . Calculate the potential difference between two points (A, B) , (C, D) , and (E, F) located on the loop.

A circular loop of radius R is kept in a uniform magnetic field pointing perpendicular into the plane of paper. When a current l flows in the loop, the tension produced in the loop is

A conducting circular loop of radiius r carries a constant current i . It is placed in a uniform magnetic field vec(B)_(0) such that vec(B)_(0) is perpendicular to the plane of the loop . The magnetic force acting on the loop is

A straight rod of length L is rotating about an axis passing through O and perpendicular to the plane. In the space a uniform magnetic field B exits normal to the plane of rotation. Potential difference between a & b is equal to

a semicircle wire of radius R is rotated with constant angular velocity about an axis passing through one end and perpendicular to the plane of wire. There is a uniform magnetic field of strength B . The induced emf between the ends is

a semicircle wire of radius R is rotated with constant angular velocity about an axis passing through one end and perpendicular to the plane of wire. There is a uniform magnetic field of strength B . The induced emf between the ends is