AP EAMCET · PHYSICS · Alternating Current
If a resistor of resistance \(4 \Omega\), a capacitor of capacitive reactance \(6 \Omega\) and an inductor of inductive reactance \(9 \Omega\) are connected in series with an ac source, then the impedance of the circuit is
- A \(19 \Omega\)
- B \(11 \Omega\)
- C \(7 \Omega\)
- D \(5 \Omega\)
Answer & Solution
Correct Answer
(D) \(5 \Omega\)
Step-by-step Solution
Detailed explanation
\(Z = \sqrt{R^2 + (X_L - X_C)^2}\) \(Z = \sqrt{4^2 + (9 - 6)^2} = \sqrt{16 + 3^2}\) \(Z = \sqrt{16 + 9} = \sqrt{25}\) \(Z = 5 \, \Omega\)
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