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Two identical bar magnets of magnetic mo...

Two identical bar magnets of magnetic moment M each are inclined to `60^(@)` as shown in figure . The net magnetic moment of the combination in this position , is

A

`2.56 xx 10^(-6) Wb//m^(2)`

B

`2.56 xx 10^(-7) Wb//m^(2)`

C

`1.28 xx 10^(-6) Wb//m^(2)`

D

`1.28 xx 10^(-7) Wb// m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`B_(1) = (mu_(0))/(4pi ) (2M_(1))/(d_(1)^(3)) = (10^(-7) xx 2xx 0.135)/((0.3)^(3)) = 10 xx 10^(-7) Wb// m^(2)`
`B_(2) = (mu_(0))/(4pi) (2M_(2))/(d_(2)^(3)) = (10^(-7) xx 2xx0.256 )/((0.4)^(3)) = 8 xx 10^(-7) Wb//m^(2)`
`therefore B = sqrt(B_(1)^(2) + B_(2)^(2)) = sqrt(100 + 64) xx 10^(-7) Wb//m^(-2)`
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