Solving Circuit Analysis Problem: Finding R and V(t) for Given Conditions

In summary, the question asks for the value of R and voltage v(t) for t>0 and t=0 when Vc(0)=3V and ic(t)=e^-50t. The suggested approach involves using Kirchhoff's Voltage rule in two different loops, one with a 2 ohm resistor and a capacitor, and the other with a 2 ohm resistor and R. The capacitor current has a time constant that will involve R, and Thevenin equivalents may also be used to determine the resistance that the capacitor "sees" when following ic(t)=e^-50t.
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There is a question I am not sure of how I should start/approach. Any help would be appreciated, thanks.

Vc(0)=3V and ic(t)=e^-50t for t>0 and t=0. Find the value of R and voltage v(t) for t>0 and t=0
 

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Apply Kirchhoff' Voltage rule in the two loops ,
first in the loop with 2 ohm resis. and capacitor to find voltage
and then in the loop with 2 resistors (R and 2 ohm) to find R !
 
  • #3
I might start by examining the form of the capacitor current. There's a time constant that will have to involve the value of R in some way... Are you familiar with Thevenin equivalents? What resistance will the capacitor "see" when it's following ic(t)=e^-50t ? Can you disentangle R from that?
 

1. What is the purpose of circuit analysis?

The purpose of circuit analysis is to study and understand the behavior of electrical circuits. This involves analyzing the flow of electric current and voltage through different components in a circuit to determine how they affect each other and how they function as a whole.

2. What are the basic components of a circuit?

The basic components of a circuit are voltage sources (such as batteries), resistors, capacitors, and inductors. These components are connected together in different configurations to create various types of circuits.

3. How do you solve a circuit analysis problem?

To solve a circuit analysis problem, you need to follow a systematic approach. This involves identifying the components in the circuit, determining the parameters (such as voltage and current) for each component, applying Ohm's law and Kirchhoff's laws to analyze the circuit, and using appropriate equations and techniques to solve for the unknown variables.

4. What are the different methods of circuit analysis?

There are two main methods of circuit analysis: nodal analysis and mesh analysis. Nodal analysis involves analyzing the voltage at each node (connection point) in the circuit, while mesh analysis involves analyzing the current in each loop of the circuit. Both methods can be used to solve complex circuits, but the choice of method depends on the specific circuit and the preferences of the analyst.

5. Why is circuit analysis important?

Circuit analysis is important because it allows us to design, troubleshoot, and improve electrical circuits. It is used in a wide range of industries, including electronics, telecommunications, power systems, and more. Understanding circuit analysis also helps us to understand the behavior of various electronic devices and to make informed decisions when designing or using them.

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