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Question

A long wire carrying a current of 20A is fixed. Another long wire AB is to be balanced mid-air a distance 2cm. Find the magnitude of the current in AB. Also find the angular frequency of SHM. If AB is slightly disturbed from this position. Given the mass per unit length of the wires is 106kg/m


A

20A,10 rads1

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B

10A,5 rads1

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C

120A,105 rads1

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D

110A,5 rads1

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Solution

The correct option is C

120A,105 rads1



ml=106 kgm1 Fl=mgl
μ0i1i22πd=mlg
2×107×20×i2×102=106×10
i=120A
μ0i1i22π(dy)mlg=mla
μ0i1i22πd(1yd)1mgl=mal
fl(1+yd)mgl=mal
Fl+flydmgdmal
a=(dld×m/l)×y=102×102y=500 y
W=500=105 rads1


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