Q1. In a series RLC circuit, if the total impedance is 50Ω, the resistance is 30Ω, what is the inductive reactance if the capacitive reactance is 20Ω? (2023)
Solution:
Using Z = √(R² + (XL - XC)²), we find XL = √(50² - 30²) + 20 = 10Ω.
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Q2. In an AC circuit, if the voltage is 120V and the current is 10A with a power factor of 0.8, what is the real power consumed? (2021)
Solution:
Real power P = V * I * power factor = 120V * 10A * 0.8 = 960W.
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Q3. A circuit has a resistance of 10Ω and a reactance of 5Ω. What is the impedance? (2020)
Solution:
The impedance Z = √(R² + X²) = √(10² + 5²) = √125Ω.
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Q4. A circuit has a resistance of 10Ω and a reactance of 5Ω. What is the impedance of the circuit? (2021)
Solution:
The impedance Z is calculated as Z = √(R² + X²) = √(10² + 5²) = √125Ω.
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Q5. In an RLC series circuit, if the total impedance is 20Ω and the resistance is 15Ω, what is the reactance? (2022)
Solution:
Using Z = √(R² + X²), we find X = √(Z² - R²). Here, Z = 20Ω, R = 15Ω.
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Q6. In an RLC series circuit, if the inductive reactance is greater than the capacitive reactance, the circuit is said to be: (2022)
Solution:
If the inductive reactance (XL) is greater than the capacitive reactance (XC), the circuit is inductive.
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Q7. What is the capacitive reactance of a capacitor with a capacitance of 10μF at a frequency of 50Hz? (2020)
