A 0.5\; m long solenoid of 10\; turns/cm has area of cross-section 1\; cm^{2} . Calculate the voltage induced across its ends if the current in the solenoid is changed from 1A to 2A in 0.1s.

 

 
 
 
 
 

Answers (1)
S safeer

The voltage induced across its ends if the current in the solenoid is changed from 1A to 2A in 0.1 s:

Induced Voltage is given as :

\left | V \right |=L\frac{dI}{dt}

therefore, \left | v \right |=\mu _{0}n^{2}la\frac{dI}{dt}

given 10 turns /cm, there for 0.5m=50 cm the number of turns N = 500

n=\frac{N}{l}=\frac{500}{0.5}

\left | V \right |=4\pi 10^{-7}\times \left ( \frac{500}{0.5} \right )^{2}\times 0.5\times 1\times 10^{-4}\times \frac{(2-1)}{0.1}

\left | V \right |=6.28\times 10^{-4} Volt

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