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An Ac Source Rated 100 V (Rms) Supplies a Current of 10 a (Rms) to a Circuit. the Average Power Delivered by the Source - Physics

Short Note

An AC source rated 100 V (rms) supplies a current of 10 A (rms) to a circuit. The average power delivered by the source
(a) must be 1000 W
(b) may be 1000 W
(c) may be greater than 1000 W
(d) may be less than 1000 W

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Solution

(b) may be 1000 W
(d) may be less than 1000 W

The average power delivered by an AC source is given by,
`P_{avg} = V_{rms}I_rms cos Ø`
Given ;
`V_rms = 100V` 
`Irms = 10 A`
⇒ `P_{avg} = 1000 cos `Ø   
`therefore Ø ∈ (-pi/2, pi/2)`
⇒ cos Ø ∈ (0,1),
`therefore 0  ≤ P_{avg]  ≤ 1000`

  Is there an error in this question or solution?
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APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 17 Alternating Current
MCQ | Q 7 | Page 330
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