Home
Class 12
PHYSICS
A uniform magnetic field along a long cy...

A uniform magnetic field along a long cylindrical rod varies with time as `(B = alpha t)`, where `alpha` is positive constant. The electric field inside the rod as a function of radial distance r from the central axis is proportional to

A

`r^2`

B

1/r

C

`1/r^2`

D

r

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

A long round dielectric cyclinder is polarized so that teh vector P = alpha r , where alpha is a positive constant and r is the distance from the axis. Find the space density rho' of bound chagres as a function of distance r from the axis.

The displacement x of a particle varies with time t as x = ae^(-alpha t) + be^(beta t) . Where a,b, alpha and beta positive constant. The velocity of the particle will.

The magnitude of radius vector of a point varies with time as r = beta t ( 1- alpha t) where alpha and beta are positive constant. The distance travelled by this body over a closed path must be

A uniform but time varying magnetic field B=(2t^3+24t)T is present in a cylindrical region of radius R =2.5 cm as shown in figure. The variation of electric field at any instant as a function of distance measured from the centre of cylinder in first problem is

An infinitely long hollow coducting cylinder with inner radius R/2 and outer radus R carries a uniform current density along its length. The magnitude of the magnetic field |B| as a function of the radial distance r from the axis is best represented by

There exists a uniform cylindrically symmetric magnetic field directed along the axis of a cylinder but varying with time as B=kt. If an electron is released from rest in this field at a distance of 'r' from the axis of cylinder, its acceleration, just after it is released would be (e and m are the electronic charge and mass respectively)

A uniform magentic field of induction B is confined in a cyclinderical region of radius R . If the field is incresing at a constant rate of (dB)/(dt)= alpha T//s , then the intensity of the electric field induced at point P , distant r from the axis as shown in the figure is proportional to :

A time varying uniform magnetic field passes through a circular region of radius R. The magnetic field is directed outwards and it is a function of radial distance 'r' and time 't' according to relation B-B_(0)rt. The induced electric field strength at a radial distance R//2 from the centre will be.

An infinitely long hollow conducting cylinder with inner radius (R )/(2) and outer radius R carries a uniform current ra density along its length . The magnitude of the magnetic field , | vec(B)| as a function of the radial distance r from the axis is best represented by