Electro Magnetic Induction And Alternating Currents Question 583

Question: Two coils A and B having turns 300 and 600 respectively are placed near each other, on passing a current of 3.0 ampere in A, the flux linked with A is $ 1.2\times {{10}^{-4}},weber $ and with B it is $ 9.0\times {{10}^{-5}},weber $ . The mutual inductance of the system is [MP PMT 2001]

Options:

A) $ 2\times {{10}^{-5}},henry $

B) $ 3\times {{10}^{-5}},henry $

C) $ 4\times {{10}^{-5}},henry $

D) $ 6\times {{10}^{-5}},henry $

Show Answer

Answer:

Correct Answer: B

Solution:

$ N_{2}{\varphi_{2}}=Mi_{1}\Rightarrow 9\times {{10}^{-5}}=M\times 3 $
$ \Rightarrow M=3\times {{10}^{-5}}H $



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