In a discharging RC circuit, what is the expression for the voltage across the c

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Question: In a discharging RC circuit, what is the expression for the voltage across the capacitor at time t?

Options:

Correct Answer: V = V0*e^(-t/RC)

Solution:

In a discharging RC circuit, the voltage across the capacitor at time t is given by V = V0*e^(-t/RC), where V0 is the initial voltage.

In a discharging RC circuit, what is the expression for the voltage across the capacitor at time t?

In a discharging RC circuit, what is the expression for the voltage across the capacitor at time t?

Step 1: Understand that an RC circuit consists of a resistor (R) and a capacitor (C) connected together.
Step 2: Recognize that when the capacitor discharges, it releases its stored voltage over time.
Step 3: Identify that V0 is the initial voltage across the capacitor when it starts discharging.
Step 4: Learn that the time constant of the circuit is given by the product of resistance (R) and capacitance (C), which is RC.
Step 5: Know that the voltage across the capacitor at any time t during the discharge can be calculated using the formula V = V0 * e^(-t/RC).
Step 6: In this formula, 'e' is a mathematical constant approximately equal to 2.71828, and it represents exponential decay.

Discharging RC Circuit – The behavior of a resistor-capacitor circuit when the capacitor is discharging, specifically how the voltage across the capacitor decreases over time.
Exponential Decay – The mathematical representation of how the voltage decreases exponentially as time progresses, characterized by the time constant (RC).
Initial Voltage (V0) – The voltage across the capacitor at the moment the discharging process begins.