Question

A resistor R and a capacitor C are connected in series to a battery of terminal voltage V0. Which of the following equations relating the current I in the circuit and the charge Q on the capacitor describes this circuit?

(A) V0 + QC – I2R = 0
(B) V0 – Q/C – IR = 0
(C) V02 – Q2/2C – I2R = 0
(D) V0 – CI – I2R = 0
(E) Q/C – IR = 0

Answer 1

The equation that correctly describes the circuit with a resistor R and capacitor C in series to a battery is B) V0 – Q/C – IR = 0, which adheres to Kirchhoff's loop rule.

Step-by-step explanation:

The correct equation that describes a circuit consisting of a resistor R and a capacitor C connected in series to a battery with a terminal voltage V0 is given by:

B) V0 – Q/C – IR = 0

In this equation, V0 represents the battery voltage, Q is the charge on the capacitor, C is the capacitance of the capacitor, and I is the current flowing through the circuit. The voltage across the capacitor Vc is expressed as Q/C according to the relationship Vc = Q/C. The voltage drop across the resistor is given by IR due to Ohm's law. According to Kirchhoff's loop rule, which states that the sum of all voltage gains and drops around a closed circuit loop must be zero, we arrive at equation B.

Answer 2

Answer-C VO2-Q2/2C-I2R=0
Q1/2C currents upon the charge I2R on the capacitor. Voltage V02 goes best