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)

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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