Find out the magnitude of the magnetic field at pointegral P... | PHYSICS - MAGNETIC FIELD DUE TO A CURRENT ELEMENT, BIOT-SAVART LAW | SolveeIt | Solveeit

Today, August 19

Question

Find out the magnitude of the magnetic field at point P due to following current distribution

A

$\frac { \mu _ { 0 } \mathrm { ia } } { \pi r ^ { 2 } }$

B

$\frac { \mu _ { 0 } \mathrm { ia } ^ { 2 } } { \pi \mathrm { r } }$

C

$\frac { \mu _ { 0 } \mathrm { ia } } { 2 \pi \mathrm { r } ^ { 2 } }$

D

$\frac { 2 \mu _ { 0 } \mathrm { ia } } { \pi r ^ { 2 } }$

Answer

$\frac { \mu _ { 0 } \mathrm { ia } } { \pi r ^ { 2 } }$

Explanation

Solution

Net magnetic field at P, B_net = 2B sinθ ; where B = magnetic field due to one wire at P

and $\sin \theta = \frac { a } { r }$

∴ .