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NEET 2015
Exam
NEET
Year
2015
Subject
Physics
Chapter
Alternating Current

NEET 2015 · Physics · Alternating Current

A resistance R draws power P when connected to an AC source. If an...

A resistance R\text{R} draws power P\text{P} when connected to an AC\text{AC} source. If an inductance is now placed in series with the resistance, such that the impedance of the circuit becomes Z\text{Z} , the power drawn will be:A resistance R draws power P when connected to an AC source. If an inductance is now placed in series with the

Options

  1. AP{\left(\dfrac{R}{Z}\right)}^{2}
  2. BPRZP\sqrt{\dfrac{R}{Z}}
  3. CP(RZ)P\left(\dfrac{R}{Z}\right)
  4. DPP

Correct answer

A. P{\left(\dfrac{R}{Z}\right)}^{2}

Step-by-step solution

A resistance R draws power P when connected to an AC source. If an inductance is now placed in series with the

We know

P=V2R;P′=V.VzcosΦP = \dfrac{{V}^{2}}{R}; {P}^{′} = \dfrac{V . V}{z}cos Φ

V2=PR and cosΦ=Rz{V}^{2} = PR \text{ and } cos Φ = \dfrac{R}{z}

P′=V2zRz{P}^{′} = \dfrac{{V}^{2}}{z}\dfrac{R}{z}

⇒PRz2R=P(R2z2)⇒ \dfrac{{P}^{}R}{{z}^{2}}R = P\left(\dfrac{{R}^{2}}{{z}^{2}}\right)

=P(Rz)2= {P}^{}{\left(\dfrac{R}{z}\right)}^{2}
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