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In an LCR circuit the capacitance is changed from C to 2C. For the resonant frequency to stay the same, the inductance should change from L to

Asked in AIEEE 2004 · Resonance condition and tuning

• (1) 4L
• (2) 2L
• (3) L/2
• (4) L/4

Step-by-step solution

Why the other options are wrong

• (1) Scales L up instead of down.
• (2) Takes L∝ C rather than LC constant.
• (4) Over-reduces L.

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