Home
Class 12
PHYSICS
The current and voltage functions in an ...

The current and voltage functions in an `AC` circuit are
`i=100 sin 100 tmA, V=100sin(100t+pi/2)V`
The power disspitated in the circuit is

A

`10 W`

B

`2.5W`

C

`5W`

D

`5kW`

Text Solution

Verified by Experts

The correct Answer is:
B
`P=V_(rms)I_(rms)cosphi`
`=(100/sqrt2)((100xx10^-3)/sqrt2).cos(pi/3)`
`=2.5W`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ALTERNATING CURRENT

    DC PANDEY|Exercise Level - 1 Subjective|6 Videos

  • ALTERNATING CURRENT

    DC PANDEY|Exercise Level- 2 Single Correct|18 Videos

  • ALTERNATING CURRENT

    DC PANDEY|Exercise Level 1 Assertion-Reason|11 Videos

  • ATOMS

    DC PANDEY|Exercise MEDICAL ENTRANCES GALLERY|42 Videos

Similar Questions

Explore conceptually related problems

The instantaneous current and voltage of an a.c. circuit are given by i=10 sin 300 t, V=100 sin 300 t V .What is the power dissipation in the circuit?

In an A.C. circuit, V and I are given by V = 100 sin ( 100t) volt. I = 100 sin ( 100 t + pi //4) mA The power dissipated in the circuit is

Knowledge Check

  • In an A.C. circuit, E=100 sin (500 t) volt and I=1000 sin(500 t +(pi)/3) mA . The power dissipated in the circuit is

    A
    10 W
    B
    100 W
    C
    50 W
    D
    25 W

  • In an AC circuit V and I are given by V = 100 sin 100t V and I = 100 sin (100t + pi//3) mA. The power dissipated in the circuit is

    A
    `10_(4) watt`
    B
    10 watt
    C
    2.5 watt
    D
    5 watt

  • The e.m.f and the current of an A.C. circuit are e=100 sin (100t)V and I=100 sin (100t)mA respectively. The power dissipated in the circuit is

    A
    `10^(4)W`
    B
    `10W`
    C
    `2.5W`
    D
    `5.0W`

    • Similar Questions

    Explore conceptually related problems

    Voltage V and current i in AC circuit are given by V = 50 sin (50t) Volt, i=50sin (50t + pi/3) mA . The power dissipated in the circuit is

    In an AC circuit, V and I are given by V=100sin(100t)volts, I=100sin(100t+(pi)/3)mA . The power dissipated in circuit is

    The instantaneous current and volatage of an AC circuit are given by i = 10 sin (314 t) A and V = 100 sin (314 t) V What is the power dissipation in the circuit?

    In an a.c circuit, V & I are given by V = 100 sin (100 t) volt. I = 100 sin (100 t + (pi)/(2)) mA The power dissipated in the circuit is:

    In an A.C. circuit , e and I are given by, e=100 sin (100t) volt, I=100sin(100t+(pi)/(3))mA . The power dissipated in circuit is

    Home
    Profile