Moderate

To reduce the resonant frequency in an LCR circuit with a generator:

Correct answer: B. Another capacitor should be added in parallel to the first

  • A. The generator frequency should be reduced
  • B. Another capacitor should be added in parallel to the first
  • C. The iron core of the inductor should be removed
  • D. The dielectric in the capacitor should be removed

Explanation

The resonant frequency of an LCR circuit is given by the formula f=1/2π√LC, where L is the inductance and C is the capacitance. To reduce the resonant frequency, the capacitance should be increased, which can be achieved by adding another capacitor in parallel, thus increasing the total capacitance. Option B is correct because it addresses this directly. Option A is incorrect because altering the generator frequency does not change the circuit's inherent resonant frequency. Option C is incorrect because removing the iron core decreases inductance and increases the resonant frequency. Option D is incorrect because removing the dielectric reduces capacitance, which also increases the resonant frequency.

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About Alternating Current

Alternating current varies periodically, so phase relationships become essential when current passes through a resistor, capacitor or inductor. The chapter distinguishes resistance from capacitive and inductive reactance, explains phase lead and lag, and connects changing electric and magnetic fields with the production and properties of electromagnetic waves.

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