Question 494Electricity & Electronics - Assistant Engineer

70% to pass

As shown in figure "A" of the illustration, what would be the circuit impedance if the capacitive reactance is 10 ohms and the resistance is 10 ohms? Illustration EL-0109

Diagram for USCG Electrical Assistant: As shown in figure "A" of the illustration, what would be the circuit impedance...

A4.47 ohms

B6.32 ohms

C14.14 ohms

D20 ohms

AI Explanation

The correct answer is C) 14.14 ohms. To calculate the circuit impedance, we use the formula: Z = sqrt(R^2 + XC^2), where Z is the impedance, R is the resistance, and XC is the capacitive reactance. Given that the capacitive reactance is 10 ohms and the resistance is also 10 ohms, we can plug these values into the formula: Z = sqrt(10^2 + 10^2) = sqrt(100 + 100) = sqrt(200) = 14.14 ohms. The other options are incorrect because they do not match the calculated value of 14.14 ohms. Option A (4.47 ohms) and Option B (6.32 ohms) are too low, while Option D (20 ohms) is too high.

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