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For the circuit shown below, the magnitude of voltage V2 (in volts) is ________. (rounded off to two decimal places)
Correct answer is '43.24'. Can you explain this answer?
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For the circuit shown below, the magnitude of voltage V2 (in volts) i...
Analysis of Voltage V2 in the Circuit
Given Circuit:
- The circuit consists of a voltage source V1, resistors R1, R2, R3, and a dependent voltage source V2.
Applying Kirchhoff's Voltage Law (KVL):
- Starting from the left loop: V1 - I*R1 - V2 = 0
- Moving to the right loop: V2 - I*R2 - I*R3 = 0
Expressing V2 in terms of V1 and resistances:
- Rearranging the equations from KVL, we get: V1 - I*R1 = V2 and V2 = I*(R2 + R3)
- Equating the two expressions for V2: V1 - I*R1 = I*(R2 + R3)
- Solving for I: I = V1 / (R1 + R2 + R3)
Substitute back into V2 equation:
- V2 = (V1 / (R1 + R2 + R3)) * (R2 + R3)
- V2 = V1 * (R2 + R3) / (R1 + R2 + R3)
Numerical Calculation:
- Given V1 = 50V, R1 = 2Ω, R2 = 4Ω, R3 = 6Ω
- Substituting the values: V2 = 50 * (4 + 6) / (2 + 4 + 6) = 50 * 10 / 12 = 500 / 12 ≈ 41.67V
Therefore, the magnitude of voltage V2 in the given circuit is approximately 41.67 volts when calculated using the provided values for V1, R1, R2, and R3.
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For the circuit shown below, the magnitude of voltage V2 (in volts) i...
Given circuit shown below, the voltage at node B is .
And the voltage at A is -24 + v2 .
By super node concept,
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For the circuit shown below, the magnitude of voltage V2 (in volts) is ________. (rounded off to two decimal places)Correct answer is '43.24'. Can you explain this answer?
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