MHT CET · Physics · Alternating Current
Which graph shows the correct variation of r.m.s. current ' \(\mathrm{I}\) ' with frequency ' \(\mathrm{f}\) ' of a.c. in case of (LCR) series resonance circuit?
- A Q
- B P
- C R
- D S
Answer & Solution
Correct Answer
(D) S
Step-by-step Solution
Detailed explanation
In series, \(\mathrm{Z}=\sqrt{\left(2 \pi \mathrm{fL}-\frac{1}{2 \pi \mathrm{fC}}\right)^2+\mathrm{R}^2}\)
Current, \(I=\frac{\mathrm{V}}{\sqrt{\left(2 \pi \mathrm{fL}-\frac{1}{2 \pi \mathrm{fC}}\right)^2+\mathrm{R}^2}}\)
As frequency increases, current first increases and then decreases. Current is maximum at resonance when \(\mathrm{X}_{\mathrm{L}}=\mathrm{X}_{\mathrm{C}}\)
Current, \(I=\frac{\mathrm{V}}{\sqrt{\left(2 \pi \mathrm{fL}-\frac{1}{2 \pi \mathrm{fC}}\right)^2+\mathrm{R}^2}}\)
As frequency increases, current first increases and then decreases. Current is maximum at resonance when \(\mathrm{X}_{\mathrm{L}}=\mathrm{X}_{\mathrm{C}}\)
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