InterviewSolution
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InterviewSolution
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A rectangular loop of sides 10cm and 5cm carrying a current I of 12A is placed in different orienctations as shown in the figure If there is a uniform magnetic field of 0.3 T in the positive z-direction, in which orientations the loop would be in (i) stable equilibrium and (ii) unstable equilibrium .A. (2)and(4), respectivelyB. (2)and(3), respectivelyC. (1)and(2), respectivelyD. (1)and(3), respectively |
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Answer» Correct Answer - B `I=12A, vec(B)=0.3hatk T`, `A=10xx5cm^(2)=50xx10^(-4)m^(2)` `vec(M)=I Ahat(n)=12xx50xx10^(-4)hatn Am^(2)` `6xx10^(-2)hat(n)Am^(2)` `"Here", vec(M)_(1)=6xx10^(-2)hati Am^(2), vec(M_(2))=6xx10^(-2)Am^(2)` `vec(M_(3))=-6xx10^(-2)hatj Am^(2), vec( M_(4))=-6xx10^(-2)hatk Am^(2)` `vec(M_(2))` is parallel to `vec(B)`, it means potential energy is minimum, therefore in orientiation (2) the loop is in stbale equilibrium. `vec(M _(4))` is antiparallel to `vec(B_(4))`, it means potential energy is maximum therefore in oriention (4) the loop is in unstbale equilibirum. |
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