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

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Question: What is the formula for the charge (Q) on a capacitor at time t during charging in an RC circuit?

Options:

Correct Answer: Q = C*V(1 - e^(-t/RC))

Solution:

The charge on a capacitor during charging in an RC circuit is given by Q = C*V(1 - e^(-t/RC)).

What is the formula for the charge (Q) on a capacitor at time t during charging in an RC circuit?

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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