Two circular coils 1 and 2 are made from the same wire but the radius of the 1st coil is twice that of the
coil. What potential difference in volts should be applied across them so that the magnetic field at their centres is the same?.
Text Solution
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Question is not correct.
The magnetic field at the center of the coil,

where
is the radius.

, where
is a constant.
In the first coil,

If 

As
will not be equal to
unless
is different from
and
will not be the same.
It is wrong to ask what potential difference should be applied across them. It should be perhaps the ratio of potential differences.
In that case, 

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