Home
Class 12
PHYSICS
A long cylindrical conductor of radius R...

A long cylindrical conductor of radius R having a cylindrical cavity of radius R/2 through out its length is lying with its axis parallel to x-axis. The distance between the axes of the cylinder and the cavity length in the positive x direction. The across sectional view of the cylinder is shown in the figure

The magnetic induction at point on the cavity is

A

`(mu_(0)I)/(3 pi R) (- hat(l))`

B

`(mu_(0) i)/(3 pi R) (hat(k))`

C

`(mu_(0) i)/(6 pi R) (hat(j))`

D

`(mu_(0) I)/(6 pi R) (- hat(j))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

A current I flows in a long straight wire (into the plane of the paper) with cross-section having the from of a circular are of radius R a shown in the figure. Find the magnetic induction at the point O .

A very long, solid insulating cylinder with radius R has a cylindrical hole with radius a bored along its entire length. The axis of the hole is at a distance b from the axis of the cylinder, where altbltR (as shown in figure). The solid material of the cylinder has a uniform volume charge density rho . Find the magnitude and direction of the electric field inside the hole, and show that this is uniform over the entire hole. .

A cylindrical space of radius R is filled with a uniform magnetic induction parallel to the axis of the cylinder. If B charges at a constant rate, the graph showin the variation of induced electric field with distance r from the axis of cylinder is

A long cylinder of uniform cross section and radius R is carrying a current i along its length and current density is uniform cross section and radius r in the cylinder parallel to its length. The axis of the cylinderical cavity is separated by a distance d from the axis of the cylinder. Find the magnetic field at the axis of cylinder.

An infinity long cylinder of radius R has an infinitely long cylindrical cavity of radius (R)/(2) are shown in the figure. The remaining portion has uniform volume charge density rho . The magnitude of electrical field at the centre of the cavity is-

A cylindrical wire of radius R has current density varying with distance r form its axis as J(x)=J_0(1-(r^2)/(R^2)) . The total current through the wire is

A cylindrical cavity of diameter a exists inside a cylinder of diameter 2a as shown in the figure. Both the cylinder and the cavity are infinitity long. A uniform current density j flows along the length . If the magnitude of the magnetic field at the point P is given by (N)/(12) mu_(0)Ja , then the value of N is

Inside an infinitely long circular cylinder charged uniformly with volume density P ther is a circular cylindrical cavity. The distance between the axis of the cylinder and the cavity is equal to a. Find the electric field strenght E inside the cavity. The permittivity us assumed to be equal to unity.

Consider a cylindrical surface of radius R and length l in a uniform electric field E. Compute the electric flux if the axis of the cylinder is parallel to the field direction.

The relation between length L and radius R of the cylinder , if its moment of inertia about its axis is equal to that about the equatorial axis, will be