SATHEE: Electro Magnetic Induction And Alternating Currents Question 78

Electro Magnetic Induction And Alternating Currents Question 78

Question: In an ac circuit, V and I are given by V = 100 sin (100 t) volts, $I = 100 \sin, (100 t + \frac{π}{3}), m A$ . The power dissipated in circuit is [MP PET 1989; RPET 1999; MP PMT 1999, 2002]

Options:

A) 104 watt

B) 10 watt

C) 2.5 watt

D) 5 watt

Show Answer

Answer:

Correct Answer: C

Solution:

$P = V_{r . m . s .} \times i_{r . m . s .} \times \cos φ$

$= \frac{100}{\sqrt{2}} \times \frac{100 \times 10^{- 3}}{\sqrt{2}} \times \cos \frac{π}{3}$

$= \frac{10^{4} \times 10^{- 3}}{2} \times \frac{1}{2} = \frac{10}{4} = 2.5 w a t t$

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Electro Magnetic Induction And Alternating Currents Question 78

Question: In an ac circuit, V and I are given by V = 100 sin (100 t) volts, I=100sin,(100t+π3),mA . The power dissipated in circuit is [MP PET 1989; RPET 1999; MP PMT 1999, 2002]

Options:

Answer:

Solution:

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Question: In an ac circuit, V and I are given by V = 100 sin (100 t) volts, $I = 100 \sin, (100 t + \frac{π}{3}), m A$ . The power dissipated in circuit is [MP PET 1989; RPET 1999; MP PMT 1999, 2002]