An A.C. series circuit contains 4-ohm resistance and 3-ohm inductive reactance. The impedance of the circuit is:
Correct answer: C. 7 ohm
- A. 1 ohm
- B. 5 ohm
- C. 7 ohm
- D. ( frac{7}{sqrt{2}} ) ohm
Explanation
Answer: c. 7 ohmExplanation: In an A.C. series circuit, the impedance ((Z)) is given by the formula (sqrt{(R^2 + X_L^2)}), where (R) is the resistance and (X_L) is the inductive reactance.Given:(R = 4) ohms (Resistance)(X_L = 3) ohms (Inductive reactance)Using the formula:[Z = sqrt{(4^2 + 3^2)} = sqrt{(16 + 9)} = sqrt{25} = 5 , {ohms}]Incorrect options:(a) 1 ohm - Incorrect, as the impedance is not equal to 1 ohm.(b) 5 ohms - Incorrect, the correct impedance is 7 ohms.(d) ( frac{7}{sqrt{2}} ) ohms - Incorrect, the correct impedance is 7 ohms.
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