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Physical Quantities

Two coils a a...

Question

Two coils a and b having turns 300 and 600 resp. are placed near each other , on passing a current of 3 A in a , flux linked in a is 0.00012 wb and with b is 0.00009 wb . mutual inductance of the coil system
1.0.00002
2.0.00004
3.0.00003
4.0.00006

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Solution

Dear Student,

We know,

induced emf =

$ε_{2} = - N_{2} \frac{d ϕ_{2}}{d t} . . (i) ϕ = m a g n e t i c f l u x, N = n u m b e r o f t u r n s a l s o e m f i n d u c e d i n c o i l 2 d u e t o c o i l 1 ε_{2} = - M \frac{d I_{1}}{d t} . . (i i) M = m u t u a l i n d u c \tan c e T h u s M = \frac{N_{2} ϕ_{2}}{I_{1}} = \frac{600 \times 0.00009}{3} = 0.018 w b / A = 0.018 H$

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