Home
Class 12
PHYSICS
A space is divided by the line AD into t...

A space is divided by the line AD into two regions. Region I is field free and the region II has a uniform magnetic field B directed into the paper. ACD is a semicircular conducting loop of radius r with centre at O, the plane of the loop being in the plane of the paper. The loop is now made to rotate with a constant angular velocity  about an axis passing through O, and perpendicular to the plane of the paper in the clockwise direction. The effective resistance of the loop is R.
Obtain an expression for the magnitude of the induced current in the loop.

Text Solution

AI Generated Solution

To solve the problem, we need to find the expression for the induced current in a semicircular conducting loop rotating in a magnetic field. Here are the steps to derive the expression: ### Step 1: Understand the Setup We have a semicircular conducting loop (ACD) of radius \( r \) rotating with a constant angular velocity \( \omega \) in a uniform magnetic field \( B \) directed into the paper. The loop is rotating about an axis perpendicular to the plane of the paper. ### Step 2: Determine the Area of the Loop in the Magnetic Field As the loop rotates, the angle \( \theta \) that the loop has rotated at time \( t \) is given by: \[ ...
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    MOTION|Exercise EXERCISE-1|25 Videos

  • ELECTROMAGNETIC INDUCTION

    MOTION|Exercise EXERCISE-2 (LEVEL-I)|16 Videos

  • ELECTRO MAGNETIC WAVES

    MOTION|Exercise EXERCISE - 3 (SECTION - B)|8 Videos

  • ELECTROMAGNETISM

    MOTION|Exercise Exercise|136 Videos

Similar Questions

Explore conceptually related problems

A space is divided by the line AD into two regions. Region I is field free and the region II has a uniform magnetic field B directed into the paper. ACD is a semicircular conducting loop of radius r with centre at O, the plane of the loop being in the plane of the paper. The loop is now made to rotate with a constant angular velocity  about an axis passing through O, and perpendicular to the plane of the paper in the clockwise direction. The effective resistance of the loop is R. Show the direction of the current when the loop is entering into the region II.

A space is divided by the line AD into two regions. Region I is field free and the region II has a uniform magnetic field B directed into the paper. ACD is a semicircular conducting loop of radius r with centre at O, the plane of the loop being in the plane of the paper. The loop is now made to rotate with a constant angular velocity  about an axis passing through O, and perpendicular to the plane of the paper in the clockwise direction. The effective resistance of the loop is R. Plot a graph between the induced emf and the time of rotation for two periods of rotation.

Space is divided by the line AD into two regions. Region I is field free and the Region II has a unifrom magnetic field B direction into the plane of the paper. ACD is a simicircular conducting loop of radius r with center at O, hte plane of the loop being in the plane of the paper. The loop is now made to rotate with a constant angular velocity omega about an axis passing through O and the perpendicular to the plane of the paper. The effective resistance of the loop is R. (i) obtain an expression for hte magnitude of the induced cureent in the loop. (ii) Show the direction of the current when the loop is entering into the Rigion II. Plot a graph between the induced e.m.f and the time of roation for two periods or rotation.

There is a uniform magnetic field directed perpendicular and into the plane of the paper. An irregular shaped conducting loop is slowly changing into a circular loop in the plane of the paper. Then

A circular loop of radius a having n turns is kept in a horizontal plane. A uniform magnetic field B exists in a vertical direction as shown in Fig.313. Find the emf induced in the loop if the loop is roated with a uniform angualr velocity omega about (a) an axis passing through the center and perendicular to the plane of the loop. (b) the diameter.

There exists a uniform magnetic field bar B = B_(0)t bar k in a region. A circular conducting loop of radius r and resistance R is placed with its plane in x-y plane. Determine the current through the loop and sense of the current.

A uniform magnetic field B=B_(0)that"i" in a region exists. A circular conducting loop of radius r and resistance R is placed with its plane in yz-plane. Determine the current through the loop and sense of the current.

A conducting loop carrying a current I is placed in a uniform magnetic field ponting into the plane of the paper as shown. The loop will have a tendency to

In figure, there is conducting ring having resistance R placed in the plane of paper in a uniform magnetic field B_(0) . If the rings is rotating in the plane of paper about an axis passing through point O and perpendicular to the plane of paper with constant angular speed omega in clockwise direction, then