An LC resonant circuit contains an inductor of L = 20 mH and a fully charged capacitor of C = 50 μF. Neglecting all resistance, what is the natural angular frequency of electromagnetic oscillations in the circuit?
Answer and explanation
Correct answer: B. 1000 rad/s
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- Step 1: The natural angular frequency of undamped oscillations in an LC circuit is: .
- Step 2: Substitute and .
- Step 3: Compute the product :
- Step 4: Take the square root and reciprocal:
Answer
1000 rad/s
Why not the others: '500 rad/s' divides by 2; '100 rad/s' misplaces a decimal power of 10 in the square root of ; '2000 rad/s' multiplies by 2 instead of taking .
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