Question 490Electricity/Electronics - Assistant Engineer70% to pass
An 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?
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.
Related Questions
#488 What is an ammeter used to measure? #489 How should the shunt used in an ammeter be connected? #491 In figure "A" of the illustration, 12 volts is applied to the circuit where the resistance of R1 is 10 ohms and R2 is 10 ohms. What is the voltage across R2 when the switch is closed? Illustration EL-0020 #492 In the schematic of the electrical circuit shown in figure "A" of the illustration, what is the value of the total capacitance, when compared to the value of equal individual capacitors? Illustration EL-0039 #493 What will be the total current in figure "B" of the illustrated circuit with the switch closed if the applied voltage is 24 volts and the resistance of R1 is 3 ohms, R2 is 4 ohms, and R3 is 5 ohms, respectively? Illustration EL-0020