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Question

The same current is flowing in two AC circuits. The first circuit contains a pure inductor and the second, a capacitor. If the frequency of the AC is increased, then the current will:

The correct answer is

Decrease in the first and increase in the second

The impedance of an inductor is given by ZL = ωL, where ω = 2πf. As frequency increases, inductive reactance increases, reducing current. For a capacitor, the impedance is ZC = 1/(ωC), meaning an increase in frequency decreases capacitive reactance, increasing current. Thus, the correct answer is (d) – current decreases in the inductor and increases in the capacitor.

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Important Questions from Alternating Current

  1. Match List - I with List - II.

    List - IList - II
    (A) The current lags behind the emf by 4π​ in phase(I) A.C. circuit containing only an inductor
    (B) The e.m.f. lags behind the current by 4π​ in phase(II) A.C. circuit with resistance and inductance in series
    (C) The current lags behind the e.m.f. in phase by 2π​(III) A.C. circuit containing only a capacitor
    (D) The e.m.f. lags behind the current in phase by 2π​(IV) A.C. circuit with resistance and capacitor in series

    Choose the correct answer from the options given below:

  2. A e.m.f. es​=50sin314t is applied across a pure capacitor of 637μF. The instantaneous current I is:

  3. Match List - I with List - II.

    List - IList - II
    (A) Resistive Circuit(I) No power dissipation
    (B) Purely inductive or capacitive circuit(II) Maximum power dissipation because XL​=XC​
    (C) LCR series circuit(III) Power dissipated only in resistor
    (D) Power dissipated at resonance in LCR circuit(IV) Maximum power dissipation

    Choose the correct answer from the options given below:

  4. A 25 μF capacitor, a 0.10 H inductor, and a 25 Ω resistor is connected in series with an AC source of emf ε = 310 sin 314t. What is the frequency of the AC source?

  5. The same current is flowing in two AC circuits. The first circuit contains a pure inductor and the second, a capacitor. If the frequency of the AC is increased, then the current will:

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