# 11 Lecture

## Examples of Loop Analysis

Loop analysis, also known as Kirchhoff's voltage law (KVL), is a powerful method used to analyze complex electrical circuits.

## Important Mcq's Midterm & Finalterm Prepration Past papers included

What is the loop gain of the circuit shown below?

loop analysis circuit 1

a) 2/3

b) 3/2

c) 1/3

d) 3/4

What is the loop gain of the circuit shown below?

loop analysis circuit 2

a) -2

b) -1/2

c) -1

d) -1/4

What is the loop gain of the circuit shown below?

loop analysis circuit 3

a) -1/3

b) -2/3

c) -3/2

d) -1

What is the loop gain of the circuit shown below?

loop analysis circuit 4

a) 5/6

b) 6/5

c) 1/2

d) 2/3

What is the loop gain of the circuit shown below?

loop analysis circuit 5

a) -1/3

b) -2/3

c) -3/2

d) -1

What is the loop gain of the circuit shown below?

loop analysis circuit 6

a) -1/3

b) -2/3

c) -1

d) -3/2

What is the loop gain of the circuit shown below?

loop analysis circuit 7

a) 5/2

b) 2/5

c) 5/4

d) 4/5

What is the loop gain of the circuit shown below?

loop analysis circuit 8

a) -1/3

b) -3

c) -3/2

d) -2/3

What is the loop gain of the circuit shown below?

loop analysis circuit 9

a) -1/2

b) -2

c) -3/2

d) -1

What is the loop gain of the circuit shown below?

loop analysis circuit 10

a) -1/2

b) -1

c) -2

d) -3/2

## Subjective Short Notes Midterm & Finalterm Prepration Past papers included

What is Loop Analysis in Circuit Theory?

Answer: Loop analysis is a method used to analyze the electrical circuits to find the unknown currents and voltages. It uses Kirchhoff's voltage law to write equations in the form of loop currents and solve them to obtain the required values.

What is Kirchhoff's Voltage Law?

Answer: Kirchhoff's voltage law states that the sum of all the voltage drops in a closed loop is equal to the sum of all the voltage sources in the loop. This law is used to write the equations in loop analysis.

How many equations can be obtained in loop analysis?

Answer: The number of equations obtained in loop analysis is equal to the number of loops in the circuit.

What is the purpose of loop analysis?

Answer: The purpose of loop analysis is to find the unknown currents and voltages in a circuit using Kirchhoff's voltage law and the equations obtained from it.

Can loop analysis be used to find the total power in a circuit?

Answer: No, loop analysis cannot be used to find the total power in a circuit. It is used to find the unknown currents and voltages only.

What are the advantages of loop analysis?

Answer: The advantages of loop analysis are that it is a systematic and efficient method to solve complex circuits, and it provides accurate results.

What are the limitations of loop analysis?

Answer: The limitations of loop analysis are that it can only be applied to circuits with a finite number of loops, and it cannot be used to analyze circuits with dependent sources.

Can loop analysis be used to analyze AC circuits?

Answer: Yes, loop analysis can be used to analyze AC circuits by considering the phase angle of the AC sources.

What is the difference between loop analysis and nodal analysis?

Answer: Loop analysis is based on Kirchhoff's voltage law, while nodal analysis is based on Kirchhoff's current law. Loop analysis deals with loops in a circuit, while nodal analysis deals with nodes in a circuit.

How can loop analysis be extended to analyze three-phase circuits?

Answer: Loop analysis can be extended to analyze three-phase circuits by using the phasor method and considering the phase relationships between the voltage sources.

### Examples of Loop Analysis

Loop analysis, also known as Kirchhoff's voltage law (KVL), is a powerful method used to analyze complex electrical circuits. The loop analysis technique is based on the principle that the algebraic sum of all voltages around any closed loop in a circuit must be equal to zero. By using this principle, it is possible to determine the unknown values of currents and voltages in a circuit. Here are some examples of how loop analysis can be used in electrical circuits: Example 1: Consider the following circuit: javascript Copy code R1 R3 ---/\/\/\----/\/\/\--- | | | | +|_ _|- | V1 V2| | | | | -------------------- R2 Using loop analysis, we can write the following equations: Loop 1: V1 - R1 * I1 - V2 = 0 Loop 2: V2 - R2 * I2 - R3 * I1 = 0 We can solve these equations to find the values of I1 and I2: I1 = (V1 - V2) / R1 I2 = (V2 - R3 * I1) / R2 Example 2: Consider the following circuit: javascript Copy code R1 R2 ---/\/\/\----/\/\/\--- | | +|_ _|- | V1 V2| | | | | -------------------- R3 Using loop analysis, we can write the following equations: Loop 1: V1 - R1 * I1 - R3 * I2 = 0 Loop 2: V2 - R2 * I2 - R3 * I1 = 0 We can solve these equations to find the values of I1 and I2: I1 = (V2 - V1) / (R1 + R2 + R3) I2 = (V1 - V2) / (R1 + R2 + R3) Example 3: Consider the following circuit: javascript Copy code R1 R2 ---/\/\/\----/\/\/\--- | | | | +|_ _|- | V1 V2| | | | | | | --------------------- R3 Using loop analysis, we can write the following equations: Loop 1: V1 - R1 * I1 - V2 = 0 Loop 2: V2 - R3 * I2 = 0 Loop 3: I1 - I2 = 0 We can solve these equations to find the values of I1 and I2: I1 = I2 = V1 / (R1 + R3) In conclusion, loop analysis is a powerful technique used to analyze complex electrical circuits. It allows us to determine the unknown values of currents and voltages in a circuit by using Kirchhoff's voltage law. The above examples demonstrate how loop analysis can be used to solve problems in circuit theory.