Question

In a circuit that contains a dc voltage of 15 volts and ac of 50 vp, what is the total voltage in the circuit?

1) 65 volts
2) 35 volts
3) 50 volts
4) 15 volts

Answer 1

The total voltage in the circuit is 65 volts.

Step-by-step explanation:

To determine the total voltage in the circuit, we need to understand the nature of DC (direct current) and AC (alternating current) voltages. DC voltage remains constant, so the 15-volt DC component contributes its full value to the total voltage. On the other hand, AC voltage is given as 50 volts peak (vp), which refers to the amplitude of the alternating waveform. The effective or root mean square (RMS) value of the AC voltage is approximately 0.707 times the peak value for a sinusoidal waveform. Therefore, the effective AC voltage is calculated as 0.707 * 50 ≈ 35.35 volts. Adding the DC and AC components gives a total voltage of 15 + 35.35 = 50.35 volts. Rounding to the nearest whole number, the total voltage is 50 volts.

In summary, the total voltage in the circuit is 50 volts, considering the contributions of both the DC and AC components. This calculation is based on the understanding of DC and AC voltage characteristics and their respective contributions to the overall circuit voltage.