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Alternating Current question

2008 · Q133
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Alternating Current question

2008 · Q133

NEETPhysicsAlternating CurrentMCQ+4 / −1
In an a.c. circuit the e.m.f. (ε\varepsilonε) and the current

(i)  at any instant are given respectively by
ε\varepsilonε = E0sinω\omegaωt,   iii = III0sin(ω\omegaωt −-− ϕ\phiϕ)

The average power in the circuit over one cycle of a.c. is
  1. A
    E0I02cos⁡ϕ{{{E_0}{I_0}} \over 2}\cos \phi2E0​I0​​cosϕ
  2. B
    E0I0{{E_0}{I_0}}E0​I0​
  3. C
    E0I02{{{E_0}{I_0}} \over 2}2E0​I0​​
  4. D
    E0I02sin⁡ϕ{{{E_0}{I_0}} \over 2}\sin \phi2E0​I0​​sinϕ
View written solutionFree

Correct answer: A

Average power = E0I02cos⁡ϕ{{{E_0}{I_0}} \over 2}\cos \phi 2E0​I0​​cosϕ

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