Electric Potential and Capacitance - Transient Response in RC Circuits

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Q. During the transient response of an RC circuit, what is the behavior of the voltage across the capacitor?
  • A. It increases linearly
  • B. It decreases exponentially
  • C. It increases exponentially
  • D. It remains constant
Q. If a capacitor discharges through a resistor, what is the voltage across the capacitor after one time constant?
  • A. V0/e
  • B. V0/2
  • C. V0
  • D. 0
Q. If a capacitor has a capacitance of 2μF and is charged to 10V, what is the charge stored in the capacitor?
  • A. 20μC
  • B. 5μC
  • C. 2μC
  • D. 10μC
Q. In a discharging RC circuit, what is the expression for the voltage across the capacitor at time t?
  • A. V = V0*e^(-t/RC)
  • B. V = V0*(1 - e^(-t/RC))
  • C. V = V0*t
  • D. V = V0/t
Q. In a series RC circuit, how does the total impedance (Z) relate to resistance (R) and reactance (Xc)?
  • A. Z = R + Xc
  • B. Z = R - Xc
  • C. Z = R*Xc
  • D. Z = R/Xc
Q. In an RC circuit, what is the time constant (τ) defined as?
  • A. τ = R*C
  • B. τ = R+C
  • C. τ = R/C
  • D. τ = C/R
Q. What happens to the current in an RC circuit as time approaches infinity after the switch is closed?
  • A. Current increases indefinitely
  • B. Current decreases to zero
  • C. Current remains constant
  • D. Current oscillates
Q. What is the effect of increasing the capacitance in an RC circuit on the time constant?
  • A. Time constant decreases
  • B. Time constant increases
  • C. Time constant remains the same
  • D. Time constant becomes zero
Q. What is the electric potential (V) across a capacitor (C) charged to a charge (Q)?
  • A. V = Q/C
  • B. V = C/Q
  • C. V = Q*C
  • D. V = C^2/Q
Q. What is the expression for the capacitive reactance (Xc) in terms of frequency (f) and capacitance (C)?
  • A. Xc = 1/(2πfC)
  • B. Xc = 2πfC
  • C. Xc = 1/(fC)
  • D. Xc = 2πf/C
Q. What is the final voltage across a capacitor after it has been fully charged in an RC circuit?
  • A. 0V
  • B. V0
  • C. V0/2
  • D. V0/e
Q. What is the final voltage across a capacitor in a series RC circuit after a long time?
  • A. 0V
  • B. V0
  • C. V0/2
  • D. V0/e
Q. What is the formula for the charge (Q) on a capacitor at time t during charging in an RC circuit?
  • A. Q = C*V(1 - e^(-t/RC))
  • B. Q = C*V*e^(-t/RC)
  • C. Q = C*V*t
  • D. Q = C*V*t^2
Q. What is the relationship between the charge (Q) and the voltage (V) across a capacitor?
  • A. Q = V/R
  • B. Q = C*V
  • C. Q = V/C
  • D. Q = R*V
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