Question 490Electricity & Electronics - Assistant Engineer
70% to passAn AC circuit has a capacitive reactance of 30 ohms in addition to an inductive reactance of 40 ohms connected in series. What is the total reactance of the circuit?
A8.37 ohms
B10.00 ohms
C50.00 ohms
D70.00 ohms
AI Explanation
The correct answer is B) 10.00 ohms. To calculate the total reactance of the circuit, we need to use the formula for the combination of capacitive and inductive reactances in series: X_total = sqrt((X_L)^2 - (X_C)^2), where X_L is the inductive reactance and X_C is the capacitive reactance. Given: X_L = 40 ohms X_C = 30 ohms Plugging these values into the formula, we get: X_total = sqrt((40)^2 - (30)^2) = sqrt(1600 - 900) = sqrt(700) = 10.00 ohms. The other answer choices are incorrect because they do not correctly apply the formula for the combination of capacitive and inductive reactances in series.
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