# Solving for Current Decay in a Resistor/Capacitor Circuit

• fasegovia
In summary, the conversation discusses a 10e-4 F capacitor with a potential difference of 9Volts connected to a 10 ohm resistor. The question is how long it will take for the current through the resistor to decrease to 1/2 of its initial value. The solution involves using equations involving a circuit with a resistor and a capacitor, such as V = IR and I = |q|nAv, and solving for t using the formula R = L |q|nAu.
fasegovia

## Homework Statement

A fully charged 10e-4 F capacitor has a potential difference across it of 9Volts. It is then connected to a resistor of 10 ohms. How long will it take for the current through the resistor to decrease to 1/2 of its initial value?

## The Attempt at a Solution

I know the answer is 6.9e-4 secs... but I want to know how it was done :/ Anyone?

What formulas do you know (or can you look up) that involve a circuit with a resistor and a capacitor?

Well I have..
V = IR
I = |q|nAv
v = uE

R = L |q|nAu

## 1. What is a resistor/capacitor circuit?

A resistor/capacitor circuit is an electronic circuit that contains both a resistor and a capacitor. The resistor is used to limit the flow of current in the circuit, while the capacitor is used to store and release electrical charge.

## 2. Why is it important to solve for current decay in a resistor/capacitor circuit?

Current decay refers to the decrease in the flow of electrical current in a circuit over time. It is important to solve for current decay in a resistor/capacitor circuit because it affects the stability and performance of the circuit. If the current decay is too high, it can lead to malfunctions or failure of the circuit.

## 3. How is current decay calculated in a resistor/capacitor circuit?

Current decay in a resistor/capacitor circuit can be calculated using the formula I(t) = I₀e^(-t/RC), where I(t) is the current at time t, I₀ is the initial current, R is the resistance of the resistor, and C is the capacitance of the capacitor.

## 4. What factors can affect the rate of current decay in a resistor/capacitor circuit?

The rate of current decay in a resistor/capacitor circuit can be affected by the values of the resistor and capacitor, the initial current, and the temperature of the circuit. Other external factors such as humidity and external electromagnetic interference can also impact the rate of current decay.

## 5. How can current decay be minimized in a resistor/capacitor circuit?

To minimize current decay in a resistor/capacitor circuit, the values of the resistor and capacitor can be adjusted to achieve a longer time constant (RC). Additionally, using high-quality components and proper circuit design can help reduce external factors that can contribute to current decay.

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