What is the formula for the charge (Q) on a capacitor at time t during charging

Practice Questions

Q1
What is the formula for the charge (Q) on a capacitor at time t during charging in an RC circuit?
  1. Q = C*V(1 - e^(-t/RC))
  2. Q = C*V*e^(-t/RC)
  3. Q = C*V*t
  4. Q = C*V*t^2

Questions & Step-by-Step Solutions

What is the formula for the charge (Q) on a capacitor at time t during charging in an RC circuit?
  • Step 1: Understand that a capacitor stores electrical energy.
  • Step 2: Know that in an RC circuit, 'R' stands for resistance and 'C' stands for capacitance.
  • Step 3: Recognize that 'V' is the voltage of the power source connected to the circuit.
  • Step 4: The formula for the charge (Q) on the capacitor during charging is Q = C * V * (1 - e^(-t/RC)).
  • Step 5: In this formula, 'e' is a mathematical constant (approximately 2.718) and represents exponential growth.
  • Step 6: 't' is the time that has passed since the charging started.
  • Step 7: 'RC' is the time constant of the circuit, which is the product of resistance (R) and capacitance (C).
  • Step 8: As time (t) increases, the charge (Q) on the capacitor approaches its maximum value, which is C * V.
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