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Find the current through 3ohm resistor using mesh analysis?
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Find the current through 3ohm resistor using mesh analysis?
Mesh Analysis to Find Current through 3ohm Resistor
Mesh analysis is a technique used to analyze circuits with multiple loops. It involves assigning currents to each loop and solving equations to determine the unknown currents and voltages in the circuit.
Steps to Solve the Problem using Mesh Analysis:
Therefore, the current through the 3ohm resistor is 1A.
Mesh analysis is a technique used to analyze circuits with multiple loops. It involves assigning currents to each loop and solving equations to determine the unknown currents and voltages in the circuit.
Steps to Solve the Problem using Mesh Analysis:
- Identify the loops in the circuit and assign a current variable to each loop. In this circuit, there are two loops, so we will assign two current variables: I1 and I2.
- Apply Kirchhoff's voltage law (KVL) to each loop to obtain equations. Start with the loop that has the most unknown voltages. In this case, Loop 1 has two unknown voltages, so we will start there:
- -12 + 1*I1*6 + (I1-I2)*3 = 0
- Apply KVL to the remaining loop. In this case, Loop 2 has only one unknown voltage:
- 3*I2 + (I2-I1)*3 = 0
- Combine the equations and solve for the unknown currents. We can use substitution or elimination to simplify the equations:
- -12 + 6I1 + 3I1 - 3I2 = 0
- 3I2 + 3I2 - 3I1 = 0
- Simplify the equations:
- 9I1 - 3I2 = 12
- -3I1 + 6I2 = 0
- Solve for the unknown currents:
- I1 = 2A
- I2 = 1A
- Use Ohm's law to find the voltage drop across the 3ohm resistor:
- V = I*R = 1A * 3ohm = 3V
Therefore, the current through the 3ohm resistor is 1A.
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Find the current through 3ohm resistor using mesh analysis? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Find the current through 3ohm resistor using mesh analysis? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the current through 3ohm resistor using mesh analysis?.
Find the current through 3ohm resistor using mesh analysis? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Find the current through 3ohm resistor using mesh analysis? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the current through 3ohm resistor using mesh analysis?.
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