Q152 / 160 · TS EAMCET 2024 (09 May Shift 1) · Physics

In a series LCR circuit, if the current leads the source voltage, then

  • Correct answer
    A
    $X_{\mathrm{C}} \gt X_{\mathrm{L}}$
  • B
    $X_{\mathrm{L}} \gt X_{\mathrm{C}}$
  • C
    $X_L=X_C \neq 0$
  • D
    $X_L=X_C=0$

Solution

The phase difference between the current and the voltage in the series LCR circuit is $\tan \phi=\frac{\mathrm{X}_{\mathrm{L}}-\mathrm{X}_{\mathrm{C}}}{\mathrm{R}}$ Figure
And from phasor diagram, if the current is leading the voltage, then the phase difference should be negative. so from eq. (i) $X_C \gt X_L$

Hence, the correct answer is option: 'A'.

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