MHT CET · Physics · Alternating Current
With gradual increase in frequency of an a.c. supply, the impedance of an LCR series circuit
- A increases.
- B decreases.
- C remains constant
- D first decreases, becomes minimum and then increases.
Answer & Solution
Correct Answer
(D) first decreases, becomes minimum and then increases.
Step-by-step Solution
Detailed explanation
We know
\(\mathrm{X}_{\mathrm{L}}=\mathrm{L} \omega\) and \(\mathrm{X}_{\mathrm{C}}=\frac{1}{\mathrm{C} \omega}\)
\(\Rightarrow\) When the frequency increases, \(\mathrm{X}_{\mathrm{L}}\) increases and \(\mathrm{X}_{\mathrm{C}}\) decreases.
\(\therefore \quad\) The impedance of an LCR series circuit decreases at first, becomes minimum and then increases.
\(\mathrm{X}_{\mathrm{L}}=\mathrm{L} \omega\) and \(\mathrm{X}_{\mathrm{C}}=\frac{1}{\mathrm{C} \omega}\)
\(\Rightarrow\) When the frequency increases, \(\mathrm{X}_{\mathrm{L}}\) increases and \(\mathrm{X}_{\mathrm{C}}\) decreases.
\(\therefore \quad\) The impedance of an LCR series circuit decreases at first, becomes minimum and then increases.
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