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.

Option 1 - 0.8H and 150 <math> <mrow> <mi>μ</mi> <mi>F</mi> </mrow> </math>

Option 2 - 1.33H and 250 <math> <mrow> <mi>μ</mi> <mi>F</mi> </mrow> </math>

Option 3 - 0.8H and 250 <math> <mrow> <mi>μ</mi> <mi>F</mi> </mrow> </math>

Option 4 - 1.33H and 150 <math> <mrow> <mi>μ</mi> <mi>F</mi> </mrow> </math>

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Vishal Baghel | Contributor-Level 10

6 months ago

Correct Option - 3

Detailed Solution:

Key is open.

$i_{r m s} = \frac{15}{60} = \frac{1}{4} A$

$20 = \frac{1}{4} * 100 * L \Rightarrow L = 0.8 H$

$10 = \frac{1}{4} . \frac{1}{100 C} \Rightarrow C = 2.5 * 1 0^{- 4} F = 250 μ F$

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Physics Alternating Current 2025

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