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MCQ Solution: Electromagnetic Induction

A solenoid has an inductance L. A second solenoid is identical to the first except that it is twice as large; it is magnified by a factor of two. What is the ratio of the inductance of the magnitude inductor to the original inductor?

1) 4
2) 2
3) 1
4) 1/2

 

Solution

$$L=\dfrac{\mu_0N^2A}{l}$$

$$\dfrac{L_1}{L_2}=\dfrac{l_2}{l_1}=\dfrac{1}{2}$$
 
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