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Question: If *<span class="smallcaps">Be</span>* represents equatorial magnetic field and *BA* represents axia...

If Be represents equatorial magnetic field and BA represents axial magnetic field due to a bar magnet. Which of the following relationships between BE and BA is correct?

A

Be = 2Ba

B

Ba = 2 Be

C

Be = 4 Ba

D

Ba = 4 Be

Answer

Ba = 2 Be

Explanation

Solution

: As equatorial magnetic field due to bar magnet is

BE=μ0 m4πr3\mathrm { B } _ { \mathrm { E } } = \frac { \mu _ { 0 } \mathrm {~m} } { 4 \pi \mathrm { r } ^ { 3 } } …(i)

and axial magnetic field due to bar magnet is

BA=μ04π2 mr3\mathrm { B } _ { \mathrm { A } } = \frac { \mu _ { 0 } } { 4 \pi } \frac { 2 \mathrm {~m} } { \mathrm { r } ^ { 3 } } …(ii)

From (i) and (ii), we get,