A short solenoid of radius a, number of turns per unit length n1 and length L is kept coaxially inside a very long solenoid of radius b, number of turns per unit length n2. What is the mutual inductance of the system?

Question

A short solenoid of radius a, number of turns per unit length n1 and length L is kept coaxially inside a very long solenoid of radius b, number of turns per unit length n2. What is the mutual inductance of the system? (A) μ0 π b2 n1 n2 L (B) μ0 π a2 n1 n2 L2 (C) μ0 π a2 n1 n2 L (D) μ0 π b2 n1 n2 L2

Tardigrade Admin · Accepted Answer

The mutual of the system M=μ0 n1 n2 π a2 L

Q. A short solenoid of radius $a$ , number of turns per unit length $n_{1}$ and length $L$ is kept coaxially inside a very long solenoid of radius $b$ , number of turns per unit length $n_{2}$ . What is the mutual inductance of the system?

$μ_{0} π b^{2} n_{1} n_{2} L$

$μ_{0} π a^{2} n_{1} n_{2} L^{2}$

$μ_{0} π a^{2} n_{1} n_{2} L$

$μ_{0} π b^{2} n_{1} n_{2} L^{2}$

The mutual of the system $M = μ_{0} n_{1} n_{2} π a^{2} L$

Q. A short solenoid of radius a, number of turns per unit length n1​ and length L is kept coaxially inside a very long solenoid of radius b, number of turns per unit length n2​. What is the mutual inductance of the system?

μ0​πb2n1​n2​L

μ0​πa2n1​n2​L2

μ0​πa2n1​n2​L

μ0​πb2n1​n2​L2