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Question

Find the force and torque on the wire AB due to the infinitely long wire. Neglect gravity.


 
  1. zero,μ0i2l2π
  2. μ0i22π,loge(a+la),μ0i2l2π
  3. μ0i22πln(la),μ0i2l2π
  4. μ0i22πln(l+aq),zero


Solution

The correct option is B μ0i22π,loge(a+la),μ0i2l2π

dF=B i dx Sin 90        dτ=df×x
dF=μ0i2πx i dx        =μ0i22πx×xdx
dF=μ0i22πdxx            τ=μ0i22πa+1adx
F=μ0i22πa+ladxx        =μ0i22π(a+la)
F=μ0i22πloge(a+l2)        =μ0i22π×l

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