RC Circuits: Charging & Discharging questions with solutions

Showing 1–10 of 73 questions

• Multi-correctmediumCapacitorRC Circuits: Charging & Discharging

  In the circuit shown, A and B are equal resistances. When S is closed, capacitor C charges from an ideal cell E and the circuit reaches steady state. Which statements are correct?

  

  Select all that apply

  • Option A

    During charging, more heat is produced in A than in B.

  • Option B

    In steady state, heat is produced at the same rate in A and B.

  • Option C

    In steady state, energy stored in C is CE²/4.

  • Option D

    In steady state, energy stored in C is CE²/8.

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• Multi-correctmediumCapacitorRC Circuits: Charging & Discharging

  For the shown circuit, find the steady-state potential difference between A and B.

  

  Select all that apply

  • Option A

    2.5 V

  • Option B

    7.5 V

  • Option C

    10 V

  • Option D

    0

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• MCQmediumCapacitorRC Circuits: Charging & Discharging

  A circuit is connected as shown in the figure with the switch S open. When the switch is closed, the total amount of charge that flows from Y to X is :-

  

  Options

  • Option A

    0

  • Option B

    54 µC

  • Option C

    27 µC

  • Option D

    81 µC

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• NumericmediumCapacitorRC Circuits: Charging & Discharging

  In the transient circuit shown the time constant of the circuit is

  

  Your answer

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• MCQmediumCapacitorRC Circuits: Charging & Discharging

  Find the potential difference across the capacitor in the shown steady-state circuit, in volts.

  

  Options

  • Option A

    4V

  • Option B

    2V

  • Option C

    1V

  • Option D

    8V

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• ParagraphmediumCapacitorRC Circuits: Charging & Discharging

  The charge across the capacitor in two different RC circuits 1 and 2 is plotted as shown in the figure.

  

  Sub-question 1

  Choose the correct statement(s) related to the two circuits.

  Select all that apply

  • Option A

    Both the capacitors are charged to the same charge.

  • Option B

    The emf's of cells in both the circuit are equal.

  • Option C

    The emf's of the cells may be different.

  • Option D

    The emf E₁ is more than E₂.

  Sub-question 2

  Identify the correct statement(s) related to the R₁, R₂, C₁ and C₂ of the two RC circuits.

  Select all that apply

  • Option A

    R₁ > R₂ if E₁ = E₂

  • Option B

    C₁ < C₂ if E₁ = E₂ R₁ C

  • Option C

    R₁C₁ > R₂C₂

  • Option D

    3< 2 R₂ C₁

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• MCQmediumCapacitorRC Circuits: Charging & Discharging

  In the given circuit, with steady current the potential drop across the capacitor must be :

  

  Options

  • Option A

    V

  • Option B

    V/2

  • Option C

    V/3

  • Option D

    2V/3

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• Multi-correctmediumCapacitorRC Circuits: Charging & Discharging

  In the shown circuit carrying steady current, the potential drop across capacitor C must be:

  

  Select all that apply

  • Option A

    V

  • Option B

    V/2

  • Option C

    V/3

  • Option D

    2V/3

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• ParagraphmediumCapacitorRC Circuits: Charging & Discharging

  The circuit contains an ideal 12 V battery, R₂=12 Ω, R₁=8 Ω and C=6 μF as shown. The capacitor is initially uncharged and the switch closes at t=0. Use e²=7.4.

  

  Sub-question 1

  Potential difference across resistor R₂ after two time constants is:

  Options

  • Option A

    2 V

  • Option B

    7.6 V

  • Option C

    10 V

  • Option D

    12 V

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• Multi-correctmediumCapacitorRC Circuits: Charging & Discharging

  In the shown circuit, capacitor C is initially uncharged and key K is open. In this condition, a current of 1 A flows through the 1 Ω resistor. The key is closed at t = t₀. Select the correct statements. Given e⁻¹ = 0.36.

  

  Select all that apply

  • Option A

    R = 3 Ω

  • Option B

    For t < t₀, I₁ = 2 A

  • Option C

    At t = t₀ + 7.2 µs, the capacitor current is 0.6 A

  • Option D

    As t → ∞, charge on the capacitor is 12 µC

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