Superposition Theorem with Dependent Sources Problem 2 | DC Circuits and Network Theorems | EXTC

TL;DR

This video explains how to apply the superposition theorem in a circuit with dependent and independent sources to find the voltage across a current source.

Transcript

hi friends in this video we are going to see how to apply supervision theorem in a circuit consisting of dependent as well as independent sources so in this problem we have to get a voltage v0 which is nothing but across this current source using super position theorem which consists of one voltage dependent voltage source so let's start so in firs... Read More

Key Insights

• 👻 The superposition theorem allows us to simplify complex circuits by separately analyzing the effects of each independent source.
• ℹ️ Mesh analysis is an effective method for solving circuits with multiple meshes and dependent sources.
• 🍰 Short-circuiting a voltage source helps modify the circuit and make the analysis easier.
• 💨 The substitution equations for v1 dash and v1 double dash are derived to simplify the calculations and find the desired voltages.

Questions & Answers

Q: What is the purpose of applying the superposition theorem in this circuit?

The superposition theorem allows us to find the voltage across the current source by considering the effects of each source separately and then combining the results.

Q: How is the circuit modified when considering one ampere acting alone?

The 25-volt voltage source is short-circuited, which modifies the circuit by replacing the source with a wire.

Q: How are the mesh analysis equations derived for this circuit?

By applying Kirchhoff's voltage law (KVL) to each mesh, the equations are derived based on the voltage drops across the resistors and the dependent source.

Q: How is the voltage v0 calculated?

The voltage v0 is calculated by summing up the voltages obtained when considering each source separately. It is the sum of v0 dash (from considering one ampere acting alone) and v0 double dash (from considering the 25-volt source alone).

Summary & Key Takeaways

• The video demonstrates how to modify the circuit by short-circuiting the voltage source and applying mesh analysis.

• The mesh analysis equations are derived for both meshes, and the values of current i1 and i2 are determined.

• The voltage v0 across the current source is then calculated by considering each source separately.