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

Options

A. `sqrt20xx10^(-1)Nm`
B. `sqrt20xx10^(-2)Nm`
C. `sqrt150xx10^(-2)Nm`
D. `sqrt150xx10^(-2)Nm`

Answer

A

Explanation

`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`