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JEE PYQ: Alternating Current Question 14

Question 14 - 2021 (25 Feb Shift 1)

The angular frequency of alternating current in a L-C-R circuit is 100 rad/s. The components connected are shown in the figure. Find the value of inductance of the coil and capacity of condenser.

(a) 0.8 H and $250\mu$F (b) 0.8 H and $150\mu$F (c) 1.33 H and $250\mu$F (d) 1.33 H and $150\mu$F

Show Answer

Answer: (a)

Solution

$15 = i_{rms}(60) \Rightarrow i_{rms} = \frac{1}{4}$ A. $20 = \frac{1}{4}X_L \Rightarrow L = 0.8$ H. $10 = \frac{1}{4}X_C \Rightarrow C = 250\mu$F.


Learning Progress: Step 14 of 38 in this series