As the frequency of an AC circuit increases, the current first increases and then decreases. What combination of circuit elements is most likely to comprise the circuit?

(a) Inductor and capacitor         

(b) Resistor and inductor

(c) Resistor and capacitor         

(d) Resistor, inductor and capacitor

This is a multiple choice answer as classified in NCERT Exemplar

(a, d) inductive reactance XL= 2 $\pi \vartheta$ L

 

For an LCR circuit Z= $\sqrt[]{R^2+(X_L-X_C)}$ 2

As frequency (ν) increases, Z decreases and at certain value of frequency know as resonant frequency (ν₀), impedance Z is minimum that is Z_min= R current varies inversely with impedance and at Z_min current is maximum.

<p><span data-teams="true">This is a multiple choice answer as classified in NCERT Exemplar</span></p><p> (a, d) inductive reactance XL= 2&nbsp;<math><mi>π</mi><mi>ϑ</mi></math>&nbsp;L</p><div><div><picture><source srcset="https://images.shiksha.com/mediadata/images/articles/1743057758phpomQftU_480x360.jpeg" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/articles/1743057758phpomQftU.jpeg" alt="" width="156" height="134"></picture></div><div><div><div><picture><source srcset="https://images.shiksha.com/mediadata/images/articles/1743057827phpnQscff_480x360.jpeg" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/articles/1743057827phpnQscff.jpeg" alt="" width="270" height="47"></picture></div><div>&nbsp;</div><div>For an LCR circuit Z=&nbsp;<math><mroot><mrow><mrow><msup><mrow><mrow><mi>R</mi></mrow></mrow><mrow><mrow><mn>2</mn></mrow></mrow></msup><mo>+</mo><mo> (</mo><msub><mrow><mrow><mi>X</mi></mrow></mrow><mrow><mrow><mi>L</mi></mrow></mrow></msub><mo>-</mo><msub><mrow><mrow><mi>X</mi></mrow></mrow><mrow><mrow><mi>C</mi></mrow></mrow></msub><mo>)</mo></mrow></mrow><mrow></mrow></mroot></math>&nbsp;2</div><div><p>As frequency (ν) increases, Z decreases and at certain value of frequency know as resonant frequency (ν₀), impedance Z is minimum that is Z_min= R current varies inversely with impedance and at Z_min current is maximum.</p></div></div></div></div>

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