Question

A straight solenoid of length 1 m has 5000 turns in the primary and 200 turns in the secondary. If the area of cross section is $4c{m}^2$, the mutual inductance will be:

• A. $503H$
• B. $503mH$
• C. $503\mu H$
• D. $5.03H$

Answer 1

The correct option is C $503\mu H$

$M=\frac{\mu N_1{N}_{2}A}{l}=\frac{4\pi \times {10}^{-7}\times 5000\times 200\times 4\times {10}^{-4}}{1}=503\times {10}^{-6}H$