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A wire carrying a 10 A current is bent t...

A wire carrying a 10 A current is bent to pass through sides of a cube of side 10 cm as shown in figure. A magnetic field `vec(B) = (2 hat(i) - 3 hat(j) +hat (k))T` is present in the region. Then, find

The net torque on the loop

A

a.`sqrt20xx10^(-1)Nm`

B

b.`sqrt20xx10^(-2)Nm`

C

c.`sqrt150xx10^(-2)Nm`

D

d.`sqrt150xx10^(-2)Nm`

Text Solution

Verified by Experts

The correct Answer is:
A
`vec(M)=10{100xx10^(-4)hat(i)+50xx10^(-4)hat(j)+50xx10^(-4)hat(k)}`
`=(10hat(i)+5hat(j)+5hat(k))xx10^(-3)Am^(2)`
`vec(B)=2hat(i)-3hat(j)+hat(k)`
`vectau=vec(M)xxvec(B)=10xxsqrt20xx10^(-2)Nm=sqrt20xx10^(-1)Nm`
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