Home
Class 12
PHYSICS
A long straight wire of radius 10mm carr...

A long straight wire of radius 10mm carries a current uniformly distributed over its cross section. The ration of magnetic fields due to the wire at distance of 5mm and 15 mm, respectively from the axis of the wire is

A

`(3)/(4)`

B

`(2)/(3)`

C

`(1)/(3)`

D

2

Text Solution

Verified by Experts

`B_(1) = ( mu_(0) Jr_(1))/(2) `, `B_(2) = (mu_(0)i)/( 2pi r_(2))`
`( B_(1))/( B_(2)) =( Jr_(1))/( 2) xx( 2pi r_(2))/( i) = (i)/( pi R^(2)) xx( pi r_(1) r_(2))/( i) = (r_(1)r_(2))/(R^(2)) =(5xx15)/( 10 xx 10) = (3)/(4) `
Promotional Banner

Similar Questions

Explore conceptually related problems

A long, straight wire of radius R carries a current distributed uniformly over its cross section. The magnitude of the magnetic field is

A long thick conducting cylinder of radius 'R' carries a current uniformly distributed over its cross section :

A long staright wire of radius a carries a steady current I . The curent is unifromly distributed over its cross-section. The ratio of the magnetic fields B and B' , at radial distances (a)/(2) and 2a respectively from the axis of the wire is:

A long straight wire of radius a carries a steady current i . The current is uniformly distributed across its cross section. The ratio of the magnetis field at (a)//(2) and (2a) is

A long, cylindrical wire of radius b carries a current i distributed uniformly over its cross section. Find the magnitude of the magnetic field at a point inside the wire at a distance a from the axis.

A long straight solid metal rod of radius 4cm carries a current 2A , uniformly distributed over its circular cross-section. Find the magnetic field induction at a distance 3cm from the axis of the wire.

A long straight solid conductor of radius 6cm carries a current of 8A , which uniformly distributed over its circular cross-section. Find the magnetic field (a) at a distance of 3cm from the axis of the conductor (b) at a distance 10cm from the axis of the conductor.

A long straight solid metal wire of radius R carries a current I, uniformly distributed over its circular cross-section. Find the magnetic field at a distance r from axis of wire (i) inside and (ii) outside the wire.