Home
Class 12
PHYSICS
A cylinderical cavity of diameter a exis...

A cylinderical cavity of diameter a exists inside a cylinder of diameter 2a as shown in the figure. Both the cylinder and the cavity are infinitely 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)aJ`, then the value of N is

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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-

An infinitely long hollow conducting cylinder with inner radius (R)/(2) and outer radius R carries a uniform current 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

Inside a long straight uniform wire of round cross-section, there is a long round cylindrical cavity whose axis is parallel to the axis of the wire and displaced from the latter by a distance l. A direct current of density j flows along the wire. Find the magnetic induction inside the cavity. Consider, in particular, the case l=0 .

Two co-axial hollow cylinders of radius a and 2a having current I and 3I/2 in opposite directions respectively as shown in the figure. The ratio of the magnitude of magnetic field at the point P and point Q will be (OP= 3a/2 and OQ=5a/2)

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

An infinitely long solid cylinder of radius R has a uniform volume charge density rho . It has a spherical cavity of radius R//2 with its centre on the axis of cylinder, as shown in the figure. The magnitude of the electric field at the point P , which is at a distance 2 R form the axis of the cylinder, is given by the expression ( 23 r R)/( 16 k e_0) . The value of k is . .

An electric current I flows through an infinitely long conductor as shown in Figure 2(a) below. Write an expression and direction for the magnetic field at point P.

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 non - popular loop of conducting wire carrying a current I is placed as shown in the figure . Each of the straighrt sections of the loop is of the length 2a . The magnetic field due to this loop at the point P(a, 0 ,a) points in the direction