# Inductance of a Co-axial cable, Solenoid & Toroid

Inductance of a Co-axial cable:-

Consider a coaxial cable with inner conductor having radius a and outer conductor of radius b and the current is flowing in the cable along z-axis  in which the cable is placed such that the axis of rotation of the cable co-incides with z-axis.

the length of the co-axial cable be d meters.

we know that the between the region   is

and    since

as , here the flux linkage

where -Total flux coming out of the surface

Since the magnetic flux will be radial plane extending from    to    and to .

Henries.

Inductance of a Solenoid:-

Consider a Solenoid of N turns and  let the current flowing inside it is  ‘I’ Amperes. The length of the solenoid is ‘l’ meters and ‘A’ is its cross sectional area.

– Total flux coming out of solenoid.

, from the definition

As B is the Magnetic flux density given

from EQN(I) ,

because

The field strength H of a solenoid is

EQN (II) becomes

from the inductance definition

Henries.

Inductance of a Toroid:-

Consider a toroidal ring with N-turns and carrying current I.

let the radius of the toroid be ‘R’ and the total flux emerging be

the magnetic flux density inside a toroid is given by

where A is the cross sectional area of the toroid then

Henries.

if the toroid has a height ‘h’ , inner radius and outer radius then its Inductance is    Henries.     (No Ratings Yet) Loading... 