Network -- RC network with sources

Aug 30, 2014

anand raj

Homework Statement

The current Ix and Vx in the below circuit are

The Attempt at a Solution

Volt at node A= V.
Applying KCL at node A,
V/5+ ((V-20) /10) -7=0,
3V =90,
V=30.

Last edited: Aug 31, 2014

Aug 30, 2014

NascentOxygen

Staff Emeritus

Science Advisor

Please show your working for calculating the voltage at node A.

1. What is a RC network and how does it work?

A RC network is a type of electronic circuit that consists of a resistor (R) and a capacitor (C) connected together. It works by storing electrical energy in the capacitor and then releasing it through the resistor. This results in a time-varying voltage or current output, depending on the type of RC network used.

2. What are the different types of RC networks?

There are three main types of RC networks: low-pass, high-pass, and band-pass. A low-pass RC network allows low frequencies to pass through and attenuates high frequencies, while a high-pass RC network allows high frequencies to pass through and attenuates low frequencies. A band-pass RC network allows a specific range of frequencies to pass through and attenuates frequencies outside of that range.

3. How are sources incorporated into RC networks?

Sources, such as voltage or current sources, can be connected to a RC network to provide an input signal. The source can be placed in series or parallel with the resistor and capacitor, depending on the type of RC network and the desired output. The source voltage or current will affect the behavior of the RC network and can be used to control the output signal.

4. What are the applications of RC networks?

RC networks have many applications in electronics and telecommunications. They are commonly used as filters to remove unwanted frequencies from a signal, as oscillators to generate periodic signals, and as timing circuits in electronic devices. They can also be used in combination with other components to create more complex circuits, such as in amplifiers and signal generators.

5. How do I calculate the time constant of a RC network?

The time constant (τ) of a RC network is the amount of time it takes for the voltage or current to reach 63.2% of its final value. It is calculated by multiplying the resistance (R) in ohms by the capacitance (C) in farads, or τ = RC. This value is important in determining the behavior and characteristics of the RC network, such as the frequency response and charging/discharging time.