Home
Class 12
PHYSICS
An ideal inductive coil has a resistance...

An ideal inductive coil has a resistance of `100gamma` When an ac signal of frequency `100Hz` is applied to the coil the voltage leads the current by `45^(@)` The inductance of the coil is .

A

`(1)/(10pi)H`

B

`(1)/(20pi)H`

C

`(1)/(40pi)H`

D

`(1)/(60pi)H`

Text Solution

Verified by Experts

The correct Answer is:
B
`tan phi = X_(L)/ R implies tan 45^(@) = X_(L)/(100) implies X_(L) =100 Omega`
`X_(L) = omegaL =2 pi fL =100`
`2pi xx 1000 L = 100`
`L = (1)/(20pi) H` .
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ALTERNATING CURRENT

    CP SINGH|Exercise EXERCISES|84 Videos

  • BOHR THEORY

    CP SINGH|Exercise Exercises|80 Videos

Similar Questions

Explore conceptually related problems

An inductance coil has a reactance of 100Omega.When an ACsignal of frequency 1000Hz is applied to the coil the applied voltage leads the current by "45^(@The self-inductance of the coil is: (A) "6.7times10^(-7)H],[" (В) "5.5times10^(-5)H],[" (C) "1.1times10^(-1)H],[" (D) "1.1times10^(-2)H]]

" A coil has an impedance of "10Omega" ,when an AC signal of frequency "(100)/(pi)Hz" ,is applied to the coil.The voltage leads the current by "45^(@)" ,the inductance of coil is "

Knowledge Check

  • An inductive coil has a resistance of 100 Omega . When an AC signal of frequency 1000 Hz is applied to the coil, the voltage leads the current by 45^(@) . What is the inductance of the coil?

    A
    `1/(40 pi)H`
    B
    `1/(20 pi)H`
    C
    `1/(60 pi)H`
    D
    `1/(10 pi)H`

  • An inductive coil has resisatance of 100 Omega . When an ac sinal of frequency 1000 Hz is fed to the coil. The applied voltage leads the current by 45^(@) . What is the inductance of the coil?

    A
    2 mH
    B
    3.3 mH
    C
    16 mH
    D
    `sqrt(5) mH`

  • When an AC signal of frequency 1 kHz is applied across a coil of resistance 100 Omega , then the applied voltage leads the current by 45^@ . The inductance of the coil is

    A
    `16 mH`
    B
    `12mH`
    C
    `8mH`
    D
    `4mH`

    • Similar Questions

    Explore conceptually related problems

    A coil has an impedance of 10Omega ,when an ACsignal of frequency (100)/(pi)Hz ,is applied to the coil The voltage leads the current by 45 degree ,the inductance of coil is

    An indection coil has an impedance of 10 ohm . When an AC signal of frecinency 1000 HZ is applied to the coil, the voltage lends the curreat by 45^(circ) . If the inductance of the coil is (1)/(sqrt(p) xx q pi) henry, then find (pq) .

    The reactance of a coil is 157 Omega . On connecting the coil across a source of frequency 100 Hz, the current lags behind the e.m.f. by 45^(@) . What is the inductance of the coil?

    A coil has reactance of 100Omega when frequency is 50Hz. If the frequency becomes 150Hz, then the reactance will be –

    The inductive reactance of a choke coil of 1/(4 pi) mH in an A.C. Circuit of frequency 50 Hz is

    Home
    Profile