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Question: A wire of fixed length is turned to form a coil of one turn. It is again turned to form a coil of th...

A wire of fixed length is turned to form a coil of one turn. It is again turned to form a coil of three turns. If in both cases same amount of current is passed, then the ratio of the intensities of magnetic field produced at the centre of a coil will be

A

9 times of first case

B

19\frac { 1 } { 9 } times of first case

C

3 times of first case

D

13\frac { 1 } { 3 } times of first case

Answer

3 times of first case

Explanation

Solution

Since dl and r for each element of the straight segments are parallel therefore

dl×r=0\overrightarrow { \mathrm { dl } } \times \overrightarrow { \mathrm { r } } = 0

Hence B is also zero.