A battery is connected to a series combination of a switch,a resistor,and an initially uncharged capacitor.The switch is closed at t = 0.Which of the following statements is true?
A)As the charge on the capacitor increases,the current increases.
B)As the charge on the capacitor increases,the voltage drop across the resistor increases.
C)As the charge on the capacitor increases,the current remains constant.
D)As the charge on the capacitor increases,the voltage drop across the capacitor decreases.
E)As the charge on the capacitor increases,the voltage drop across the resistor decreases.

Question

Quizplus · Accepted Answer

When the switch is closed, the current flows through the resistor and capacitor in series. Initially, the capacitor is uncharged, so it acts as a short circuit and the full battery voltage appears across the resistor. As the capacitor charges up, its voltage increases, so the voltage drop across the resistor decreases. This means that the current through the resistor decreases according to Ohm's Law (V = IR). Therefore, as the charge on the capacitor increases, the voltage drop across the resistor decreases.

A Battery Is Connected to a Series Combination of a Switch,a