SATHEE: Electro Magnetic Induction And Alternating Currents Question 77

Electro Magnetic Induction And Alternating Currents Question 77

Question: The potential difference V and the current i flowing through an instrument in an ac circuit of frequency f are given by $V = 5 \cos ω t$ volts and I = 2 sin wt amperes (where w = 2pf). The power dissipated in the instrument is [CPMT 1977, 80; MP PET 1999]

Options:

A) Zero

B) 10 W

C) 5 W

D) 2.5 W

Show Answer

Answer:

Correct Answer: A

Solution:

$V = 5 \cos ω t = 5 \sin (ω t + \frac{π}{2})$
and $i = 2 \sin ω t$ Power $= V_{r . m . s .} \times i_{r . m . s .} \times \cos φ$ = 0
(Since $φ = \frac{π}{2}$ , therefore $\cos φ = \cos \frac{π}{2} = 0$ )

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Electro Magnetic Induction And Alternating Currents Question 77

Question: The potential difference V and the current i flowing through an instrument in an ac circuit of frequency f are given by V=5cos⁡ωt volts and I = 2 sin wt amperes (where w = 2pf). The power dissipated in the instrument is [CPMT 1977, 80; MP PET 1999]

Options:

Answer:

Solution:

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Question: The potential difference V and the current i flowing through an instrument in an ac circuit of frequency f are given by $V = 5 \cos ω t$ volts and I = 2 sin wt amperes (where w = 2pf). The power dissipated in the instrument is [CPMT 1977, 80; MP PET 1999]