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  • Two circular coils 1 and 2 are made from the same wire but the radius of 1st coil is twice that of the 2nd coil. What potential difference in volts should be applied across them so that the magneti

Two circular coils 1 and 2 are made from the same wire but the radius of 1st coil is twice that of the 2nd coil. What potential difference in volts should be applied across them so that the magnetic field at their center is the same-

Option: 1

4


Option: 2

6


Option: 3

2


Option: 4

None


Answers (1)

best_answer

If R_1 and R_2 be the radius of the circular wires,

If same potential is applied on them, current in 1st will be half that in the later. if V potential is applied on them, current 

\frac{V}{2 R} \text { and } \frac{V}{R}

Now magnetic field at he center of circular coil, \frac{\mu_0 I}{2 n}

for first wire, field B_1 = \frac{\mu_0 \mathrm{~V}}{2 R \times n R}

for second wire, field B_2 = \frac{\mu_0 V}{2(R / 2) \times R}

Posted by

himanshu.meshram

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