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GUJCET · Physics · Alternating Current
What is the ratio of inductive and capacitive reactance in AC circuit ？
- A Zero
- B \(\omega^{2} \mathrm{~L}\)
- C \(\omega^{2} \mathrm{LC}\)
- D 1
Answer & Solution
Correct Answer
(C) \(\omega^{2} \mathrm{LC}\)
Step-by-step Solution
Detailed explanation
(C) \(\omega^{2} \mathrm{LC}\)
Inductive Reactance \(X_{L}=\omega L\)
Capacitive Reactance \(\quad X_{C}=\frac{1}{\omega C}\)
\(
\frac{X_{L}}{X_{C}}=\frac{\omega L}{\frac{1}{\omega C}}=\omega^{2} L C
\)
Inductive Reactance \(X_{L}=\omega L\)
Capacitive Reactance \(\quad X_{C}=\frac{1}{\omega C}\)
\(
\frac{X_{L}}{X_{C}}=\frac{\omega L}{\frac{1}{\omega C}}=\omega^{2} L C
\)
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