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Q.

Two different coils have self – inductances L1=8mHandL2=2mH . The current in one coil is increased at a constant rate. The current in the second coil is also increased at the same constant rate. At a certain instant of time, the power given to the two coils is the same. At that time, the current, the induced voltage and the energy stored in the first coil arei1 , V1andW1 respectively. Corresponding values for the second coil at the same instant arei2 , V2andW2 respectively. Then

A) i1i2=14                                 B) i1i2=4                     

C) W1W2=14                               D) V1V2=4

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a

c, d are true

b

a, d are true

c

Only b is true

d

a, c, d are true

answer is C.

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Detailed Solution

p=Ei;

p=Ldidti

p=const,didt=const

L1ii1i2=L2L1=14

W=12Li2

W1W2=L1L2×i12i22=4×116=14

V1V2=4

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Two different coils have self – inductances L1=8mH and L2=2 mH . The current in one coil is increased at a constant rate. The current in the second coil is also increased at the same constant rate. At a certain instant of time, the power given to the two coils is the same. At that time, the current, the induced voltage and the energy stored in the first coil arei1 , V1 and W1 respectively. Corresponding values for the second coil at the same instant arei2 , V2 and W2 respectively. Then A) i1i2=14                                 B) i1i2=4                      C) W1W2=14                               D) V1V2=4