Home
Class 12
PHYSICS
The current in a coil of self inductance...

The current in a coil of self inductance 2.0 henry is increasing according to `i= 2 sin t^(2)` ampere. Find the amount of energy spent during the period when the current changes from 0 to 2 amp.

Text Solution

Verified by Experts

The correct Answer is:
`4` joule
`DU=U_(f)-U_(i)`
`=1/2(l_(1)^(2)-l_(1)^(2))=4 J`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ALTERNATING CURRENT

    RESONANCE|Exercise SOLVED MISCELLANEOUS|14 Videos

  • ALTERNATING CURRENT

    RESONANCE|Exercise EXERCISE SECTION A|4 Videos

  • ALTERNATING CURRENT

    RESONANCE|Exercise Exercise -3 Part-3|24 Videos

  • ATOMIC PHYSICS

    RESONANCE|Exercise Advanved level problems|17 Videos

Similar Questions

Explore conceptually related problems

The current in a coil of self inductance 2.0 henry is increasing according to i= 2 sin t^(2) ampere. Find the amount of energy spent during the period when the current changes from 0 to 2 apere.

The current in a coil of self-inductance 2.0 H is increasing according to I=2 sin t^(2) ampere. Find the amount of energy spent during the period when the current charges from zero to 2A.

Knowledge Check

  • The current in a coil of self inductance 5 henry in increasing according to I = 2 sin^(2)t . The amount of energy spen during the period when current changes from 0 to 2 amperes is

    A
    `10 J`
    B
    `5 J`
    C
    `100 J`
    D
    `2 J`

  • Current in a coil of self-inductance 2.0 H is increasing as I = 2 sin t^(2) . The amount of energy spent during the period when the current changes from 0 to 2 A is

    A
    `1 J`
    B
    `2 J`
    C
    `3 J`
    D
    `4 J`

  • The current flowing in a coil of self inductance 0.4 mH is increased by 250 mA in 0.1 s. The emf induced will be

    A
    `-1mV`
    B
    `-1V`
    C
    `+1mV`
    D
    `+1V`

    • Similar Questions

    Explore conceptually related problems

    The current in a coil self inductance 2.0 H is increasing according to i= 2 sin t^(2) amp. Find the amount of energy spent during the period when current changes from to 2 A.

    The current in a coil of self-inductance 4H is given by i=4sint^(2) . Find the amount of energy spent during the period when the current changes from 0 to 4A .

    Energy stored in a coil of self inductance 40 mH carrying a steady current of 2 A is

    When current i passes through an inductor of self inductance L, energy stored in it is 1//2. Li^(2) . This is stored in the

    The energy stored in an inductor of self-inductance L henry carrying a current of I ampere is

    Home
    Profile