Home
Class 12
PHYSICS
Find the self inductance of a unit lengt...

Find the self inductance of a unit length of a cable consisting of two thin walled coaxial metallic cylinders if the radius of the outside cylinder is `eta (eta gt 1)` times that of the inside one. The permeability of the medium between the cylinders is assumed to be equal to unity.

Text Solution

Verified by Experts

The correct Answer is:
`(mu_(0))/(2pi)In(eta)`
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENT

    PHYSICS GALAXY - ASHISH ARORA|Exercise Practice Exercise 5.4|13 Videos

  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENT

    PHYSICS GALAXY - ASHISH ARORA|Exercise Practice Exercise 5.5|7 Videos

  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENT

    PHYSICS GALAXY - ASHISH ARORA|Exercise Practice Exercise 5.2|14 Videos

  • CURRENT ELECTRICITY

    PHYSICS GALAXY - ASHISH ARORA|Exercise All Questions|389 Videos

  • ELECTROSTATICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numberical Problems|73 Videos

Similar Questions

Explore conceptually related problems

Find the inductane of a unit length of a double line if the radius of each wire is eta times less than the distance between the axes of the wires. The field inside the wires is to be neglected, the permeability is assumed to be equal to unity throughout, and eta gt gt 1 .

Inside a indinitely long circular cylinder cavity. The distance between the axes of the cylinder and the cavity is equal to a . Find the electric field strength E inside the cavity. The permittivity is assumed to eb equal to unity.

A homegoneous poorly condcuting medium of resistivity rho fills up space between two thin coaxial ideally conducting cylinder is l . The radii of the cylinders are equal to a and b with a lt b , the length of each cylinder is l . Neglecting the edge effects , find the resistance of the medium between the cylinders.

a long coaxial cable consits of two thin-walled conducting cyclider carries a steady current 0.1 A , and the outer cylinder provides the return path for that current. The current produced a magnetic field between the two cylinders. Find the energy stored in the magnetic field for length 5m of the cable. Express answer in Nj (use 1n2 = 0.7 ).

Two conducting cylinders of equal length but different radii are connected in series between two heat baths kept at temperatures T_(1) = 300K and T_(2) = 100 K , as shown in the figure. The radius of the bigger cylinder is twice that of the smaller one and the thermal conductivities of the materials of the smaller and the larger cylinders are K_(1) and K_(2) respectively. If the temperature at the junction of the two cylinders in the steady state is 200 K, then K_(1)//K_(2)= __________. (##JA_18_PHY_P1_E02_008_Q01.png" width="80%">

A long thin walled hollow cylinder of radius r is carrying a current I. A very long current carrying straight conductor is passing through the axis of the hollow cylinder, carrying a current i_(0) . Find the tension per unit length developed in the hollow cylinder due to the interaction of the straight current carrying conductor.

A small solid cylinder of radius r is released coaxially from point A inside the fixed large cylindrical bawl of radius R as shown in figure. If the friction between the small and the large cylinder is sufficient enough to prevent any slipping then find. (a). What fractions of the total energy are translational and rotational when the small cylinder reaches the bottom of the larger one? (b). The normal force exerted by the small cylinder on the larger one when it is at the bottom.