Alternating CurrentHard
Question
Two different coils have self-inductance L1 = 8 mH and L2 = 2 mH. The current in one coil is increased at a comsatnt 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 that time, the current, the induced voltage and the energy stored in the first coil are i1, V1 and W1 respectively. Corresponding values for the second coil at the same instant are i2, V2 and W2 respectively. Then
Options
A.
B.
C.
D.
Solution
From Faraday′s law, the induced voltage
V ∝ L, if rate of charnge of current is constant
∴
or 
Power given to the coils is same i.e.,
v1i1 = V2i2 or
Energy stored W =
Li2
∴
or 
V ∝ L, if rate of charnge of current is constant
∴
or Power given to the coils is same i.e.,
v1i1 = V2i2 or
Energy stored W =
Li2∴
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