DC state RC circuit Find Vc(0)

Engineering
Thread starter sammyqw
Start date Oct 16, 2016
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Circuit Dc Dc circuit Rc Rc circuit State

In summary, a DC state RC circuit is a circuit with a resistor and capacitor connected in series to a direct current power source. It is used to study the behavior of capacitors in a steady state. Vc(0) is the initial voltage across the capacitor at time t=0 and can be calculated using Vc(0) = V0(1-e^(-t/RC)). It tells us about the initial and final voltage of the capacitor and helps us understand its behavior in charging or discharging. Vc(0) is important in analyzing and designing electronic circuits as it provides crucial information about the circuit's response to changes in the power source or component values.

Oct 16, 2016

sammyqw

Homework Statement

Find Vc(0)

Homework Equations

Nodal Eq , ohms law

The Attempt at a Solution

Can someone please check my work for Vc(0)? I'll appreciate it.

Last edited: Oct 16, 2016

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Oct 16, 2016

gneill

Mentor

Looks good.

Related to DC state RC circuit Find Vc(0)

What is a DC state RC circuit?

A DC state RC circuit is a circuit that contains a resistor (R) and a capacitor (C) connected in series to a direct current (DC) power source. It is used to study the behavior of capacitors in a steady state, where the voltage and current are constant.

What is Vc(0) in a DC state RC circuit?

Vc(0) is the voltage across the capacitor at time t=0. It represents the initial voltage stored in the capacitor before any current begins to flow through the circuit.

How do you calculate Vc(0) in a DC state RC circuit?

Vc(0) can be calculated using the formula Vc(0) = V0(1-e^(-t/RC)), where V0 is the initial voltage of the power source and RC is the time constant of the circuit. The time constant is equal to the product of the resistance and capacitance values in the circuit.

What does Vc(0) tell us about the behavior of a capacitor in a DC state RC circuit?

Vc(0) tells us the initial voltage that is stored in the capacitor. It also indicates the voltage that the capacitor will eventually reach as it charges or discharges over time. This helps us understand the charging and discharging behavior of capacitors in a circuit.

Why is Vc(0) important in a DC state RC circuit?

Vc(0) is important because it helps us analyze the behavior of capacitors in a steady state. It allows us to calculate the voltage across the capacitor at any time t and understand how the circuit will respond to changes in the power source or the values of R and C. This information is crucial in designing and troubleshooting electronic circuits.