A coil is wound on a frame of rectangular cross-section. If all the linear dimensional frame are increased by a factor of 2 and the number of turns per unit length of the coil remains the same, self-inductance of the coil increases by a factor of

Question

A coil is wound on a frame of rectangular cross-section. If all the linear dimensional frame are increased by a factor of 2 and the number of turns per unit length of the coil remains the same, self-inductance of the coil increases by a factor of (A) 4 (B) 8 (C) 12 (D) 16

Tardigrade Admin · Accepted Answer

From the relation L=μ 0n2Al If all the dimensions of the frame are increased by a factor of 2, then area is increased by a factor of 4 and length by a factor of 2. Hence, L becomes 8 times.

Q. A coil is wound on a frame of rectangular cross-section. If all the linear dimensional frame are increased by a factor of 2 and the number of turns per unit length of the coil remains the same, self-inductance of the coil increases by a factor of

4

8

12

16

From the relation $L = μ_{0} n^{2} A l$ If all the dimensions of the frame are increased by a factor of 2, then area is increased by a factor of 4 and length by a factor of 2. Hence, L becomes 8 times.

Q. A coil is wound on a frame of rectangular cross-section. If all the linear dimensional frame are increased by a factor of 2 and the number of turns per unit length of the coil remains the same, self-inductance of the coil increases by a factor of

4

8

12

16

From the relation L=μ0​n2Al If all the dimensions of the frame are increased by a factor of 2, then area is increased by a factor of 4 and length by a factor of 2. Hence, L becomes 8 times.

From the relation $L = μ_{0} n^{2} A l$ If all the dimensions of the frame are increased by a factor of 2, then area is increased by a factor of 4 and length by a factor of 2. Hence, L becomes 8 times.