If capacitance of L-C circuit is made four times then frequency of the circuit becomes___________________?
Correct answer: B. One half
- A. Twice
- B. One half
- C. Four times
- D. None
Explanation
The LC resonance frequency is f = 1/(2π√(LC)). If capacitance becomes 4C, the denominator becomes √4 = 2 times larger, so the frequency becomes f/2, or one half. The likely wrong choice is c, caused by assuming frequency changes directly rather than inversely with the square root of capacitance.
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Alternating current through a resistor, capacitor and inductor involves phase relationships between voltage and current, reactance, impedance and energy transfer. A resistor keeps voltage and current in phase, while a capacitor and inductor produce opposite phase shifts, a distinction used in circuit diagrams and numerical calculations.
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