Question 223Electricity/Electronics - QMED70% to pass
What power would be consumed by the series resistor in the circuit shown in the illustration if the source is 30 volts, the resistance for R1 is 10 ohms, R2 is 10 ohms and R3 is 10 ohms? Illustration EL-0032
AI Explanation
The correct answer is C) 40 watts.
To calculate the power consumed by the series resistor, we need to use the formula P = V^2/R, where P is the power, V is the voltage, and R is the resistance.
Given the information:
- Source voltage (V) = 30 volts
- Resistance for R1, R2, and R3 = 10 ohms each
Since the resistors are in series, the total resistance is the sum of the individual resistances: R_total = R1 + R2 + R3 = 10 + 10 + 10 = 30 ohms.
Plugging the values into the formula, we get:
P = V^2/R = (30 V)^2 / 30 ohms = 900 watts / 30 ohms = 40 watts.
The other options are incorrect because:
A) 10 watts is too low, as the total power consumed in the series circuit is 40 watts.
B) 30 watts is too low, as the total power consumed in the series circuit is 40 watts.
D) 60 watts is too high, as the total power consumed in the series circuit is 40 watts.
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