A circular coil of one turn carrying a current produces a magnetic field of induction of magnitude B at the center. If there were another circular coil of one turn whose area is double that of the area of the first coil and carries the same current, the magnitude of the magnetic induction at the center will be

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2 B

B/2

$\frac{B}{\sqrt{2}}$

$\sqrt{2} B$

answer is C.

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Detailed Solution

$B = \frac{μ_{0} i}{2 r} i f a r e a o f t h e c o i l i s d o u b l e r i n c r e a s e s t o \sqrt{2} t i m e s B d e c r e a s e s b y \sqrt{2} t i m e s$

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