The intensity of magnetic induction at the center of a circular coil carrying a current is $B$ . If the number of turns and radius are doubled, the intensity of magnetic induction at the center with the same current will be

2 B

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4 B

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B

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0.5 B

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Solution

The correct option is C $B$
$B = \frac{n μ_{0} i}{2 R}$
$B_{1} = \frac{2 n μ_{0} i}{2 \times 2 R}$
$B_{1} = \frac{n μ_{0} i}{2 R}$
$B_{1} = B$

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The intensity of magnetic induction at the center of a circular coil carrying a current is B. If the number of turns and radius are doubled, the intensity of magnetic induction at the center with the same current will be

The correct option is C BB=nμ0i2RB1=2nμ0i2×2RB1=nμ0i2RB1=B

The intensity of magnetic induction at the center of a circular coil carrying a current is $B$ . If the number of turns and radius are doubled, the intensity of magnetic induction at the center with the same current will be

The correct option is C $B$
$B = \frac{n μ_{0} i}{2 R}$
$B_{1} = \frac{2 n μ_{0} i}{2 \times 2 R}$
$B_{1} = \frac{n μ_{0} i}{2 R}$
$B_{1} = B$