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shows a square current carrying loop ABC...

shows a square current carrying loop `ABCD` of side `10cm` and current `I = 10A` The magnetic moment `oversetrarrM` of the loop is
.

A

`(0.05)(hati-sqrt3hatk)A-m^(2)`

B

`(0.05)(hatj-sqrt3hatk)A-m^(2)`

C

`(0.05)(sqrt3hati+hatk)A-m^(2)`

D

`(hati+hatk)A-m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Areal vects will be `bot` to the plane Area vec-tors is at `60^(@)` angle with axis and `30^(@)` angle with -z axis
`oversetrarrM = NI oversetrarrA`
`oversetrarrM = 10 xx 10^(-2) Amp -m^(2)`
`M = 0.1 Amp - m^(2)`
`oversetrarr(M) = Mx hati - My hatk = Mcos 60 hati - Mcos 30^(@)hatk`
`oversetrarr(M) = 0.05 (hati - sqrt3 hatk)`.
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