Magnetic field due to currentHard

Question

Inside a long cylindrical solenoid of radius R has a magnetic field exists which that is approximately uniform in space but varies with time as B = B0–βt, where B0 and  βare positive numbers. B points out of the paper at t = 0 in an end-on view of the solenoid as shown below. The magnitude and direction of the electric field at a radial distance 2R from the axis of the  solenoid is :

Options

A.

Rβ/4, counterclockwise

B.

Rβ/4, clockwise
 

C.

Rβ/2, counterclockwise
 

D.

Rβ/2, clockwise
 

Solution

CCW path at r = 2R gives 2π(2R)E = –(d/dt)[(B0 – βt)(πR2)]   ⇒E = Rβ/4 ; CCW
opposes the loss of B out of the paper just as would be the case if a real wire were there with E in the direction of I.

Create a free account to view solution

View Solution Free
Topic: Magnetic field due to current·Practice all Magnetic field due to current questions

More Magnetic field due to current Questions

For the hollow thin cylinderical current carrying pipe which statement is correct :-...A current I flows through a circular coil of radius r the intensity of field at its centre is...In a region of space, a uniform magnetic field B exists in the y-direction. A proton is fired from the origin, with its ...If length and number of turns becomes half for a solenoid then value of magnetic field becomes:-...In the loops shown, all curved sections are either semicircles or quarter circles. All the loops carry the same current....