Math Problem Statement
Solution
To solve this circuit using the Superposition Theorem, we need to consider each independent source (current or voltage source) one at a time and "turn off" the others (replace voltage sources with a short circuit and current sources with an open circuit). Then, we calculate the current due to each individual source and sum the results.
Here’s a step-by-step breakdown of how to approach this:
Step 1: Turn off the 6A current source and analyze the effect of the 3A current source
- Replace the 6A current source with an open circuit (because a current source is turned off by opening the circuit).
- Calculate the current caused by the 3A current source.
Step 2: Turn off the 3A current source and analyze the effect of the 6A current source
- Replace the 3A current source with an open circuit.
- Calculate the current caused by the 6A current source.
Step 3: Sum the individual currents
- After calculating the individual contributions, sum them to find the total current .
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Math Problem Analysis
Mathematical Concepts
Superposition Theorem
Circuit Analysis
Current Calculation
Formulas
Ohm's Law (V = IR)
Superposition Theorem
Theorems
Superposition Theorem
Suitable Grade Level
Grades 11-12
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