Charging Capacitor Quiz

What is the initial current in a charging capacitor circuit?

• \( \frac{\varepsilon}{R} \)

• \( \frac{q}{C} \)

• \( \varepsilon \times e^{-t/RC} \)

• \( \frac{1}{RC} \)

What does the expression \( q = C\varepsilon (1 - e^{-t/RC}) \) represent in a charging capacitor?

• The charge on the capacitor as a function of time

• The current through the resistor

• The voltage across the battery

• The resistance of the circuit

What happens to the potential difference across the resistor (\( \Delta V_R \)) over time in a charging capacitor circuit?

• It decreases from \( \varepsilon \) to an asymptote of 0

• It increases from 0 to \( \varepsilon \)

• It remains constant at \( \varepsilon \)

• It oscillates between 0 and \( \varepsilon \)

In the context of charging a capacitor, what does the time constant \( \tau \) represent?

• \( RC \)

• \( \frac{1}{RC} \)

• \( \varepsilon \)

• \( q/C \)

What is the expression for the potential difference across the capacitor (\( \Delta V_C \)) in a charging capacitor circuit?

• \( \varepsilon (1 - e^{-t/RC}) \)

• \( \varepsilon e^{-t/RC} \)

• \( \frac{q}{C} \)

• \( \frac{\varepsilon}{R} \)