Physics Alternating Current Alternating Current Overview Class 12th Physics

Find the peak current and resonant frequency of the following circuit (as shown in figure).

Option 1 - <p>2A and 100 Hz</p>

Option 2 - <p>2A and 50 Hz</p>

Option 3 - <p>0.2A and 50 Hz</p>

Option 4 - <p>0.2 A and 100 Hz</p>

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Answered by

Vishal Baghel | Contributor-Level 10

6 months ago

Correct Option - 3

Detailed Solution:

$Z = \sqrt[]{R^{2} + {(X_{L} - X_{C})}^{2}}$

$Z = \sqrt[]{{(120)}^{2} + {(10 - 100)}^{2}} = 150 Ω$

$ω = \frac{1}{\sqrt[]{L C}} = \frac{1}{\sqrt[]{1 0^{- 1} * 1 0^{- 4}}} = \sqrt[]{1 0^{5}}$

$? ω = 2 π f$

$\Rightarrow f = \frac{1 0^{3}}{2 π \sqrt[]{10}} = 50 H z$

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