Question

The supply voltage magnitude \( |V| \) of the circuit shown below is ____ .

• A. 70.7V
• B. 100V
• C. 180V
• D. 80.8V

Hint:

To calculate the total supply voltage when sources are in phase, use the Pythagorean theorem: \( |V_{\text{total}}| = \sqrt{V_1^2 + V_2^2} \).

Answer 1

The Correct Option is A

The circuit consists of two sources in series. To calculate the total supply voltage, we need to find the phasor sum of the individual voltage sources.
From the diagram, we have:
- One voltage source is 50V, and the other is 40V.
- These two voltages are assumed to be in phase.
Now, use the Pythagorean theorem to find the total supply voltage: \[ |V_{\text{total}}| = \sqrt{50^2 + 40^2} \] \[ |V_{\text{total}}| = \sqrt{2500 + 1600} \] \[ |V_{\text{total}}| = \sqrt{4100} \approx 70.7V \] Thus, the total supply voltage is 70.7V, which is option (1).