First slide

Solenoid

Question

A short current carrying solenoid has a magnetic dipole moment M. P is a point on its axial line at a distance d from the north-pole and at a distance 2d from the south-pole. The magnetic induction at P is

Difficult

A

$\frac{μ_{0}}{4 π} \frac{3 M}{d^{3}}$
B

$\frac{μ_{0}}{4 π} \frac{3 M}{4 d^{3}}$
C

$\frac{μ_{}}{4 π} \frac{2 M}{d^{3}}$
D

$\frac{μ_{0}}{4 π} \frac{3 M}{8 d^{3}}$

Solution

$l e n g t h o f t h e d i p o l e i s d a n d d i s \tan c e o f t h e p o i n t f r o m t h e c e n t e r i s \frac{3 d}{2} f i e l d o n t h e a x i a l l i n e = \frac{μ_{0}}{4 π} \frac{2 M x}{{(x^{2} - l^{2})}^{2}} h e r e x = \frac{3 d}{2} a n d l = \frac{d}{2}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App