Home
Class 12
PHYSICS
A circular coil having 20 turns, each of...

A circular coil having 20 turns, each of radius 8 cm, is rotating about its vertical diameter with an angular speed of 50 `rad//s` in a uniform horizontal magnetic field of 30 mT. Obtain the maximum, average and rms value of e.m.f. induced in the coil. If the coil forms a closed loop of resistance 10 ohm, how much power is dissipated as heat

Text Solution

Verified by Experts

Here, `N = 20, r = 8 cm = 8 xx 10^(-2) m`,
`omega = 50 rad s^(-1)`
`B = 30 mT = 30 xx 10^(-3) T, E_(0) = ?`
`E_(av) = ?, E_(v) = ?`
`R = 10 Omega, P = ?`
`E_(0) = N AB omega = (N pi r^(2)) B omega`
`= 20 xx 3.14 xx (8 xx 10^(-2))^(2) xx 30 xx 10^(-3) xx 50`
`= 0.60 V`
Average value of alt. emf over full cycle,
`E_(av) = 0`
`E_(v) = (E_(0))/(sqrt2) = (0.60)/(1.414) = 0.42 V`
Power dissipated,
`P = (E_(v)^(2))/(R ) = ((0.42)^(2))/(10) = 1.76 xx 10^(-2) W`
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    PRADEEP|Exercise Solved Examples (b)|1 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    PRADEEP|Exercise Short Answer Qusetions|2 Videos

  • DUAL NATURE OF RADIATION AND MATTER

    PRADEEP|Exercise Exercise|191 Videos

  • ELECTROMAGNETIC WAVES

    PRADEEP|Exercise II Focus multiple choice question|5 Videos

Similar Questions

Explore conceptually related problems

A circular coil of radius 8.0 cm and 20 turns rotates about its vertical diameter with an angular speed of 50 s^(-1) in a uniform horizontal magnetic field of magnitude 3 xx 10^(-2) T . Obtain the maximum and average e.m.f. induced in the coil . If the coil forms a closed loop of resistance 10 Omega , calculate the maximum value of current in the coil. Calculate the average power loss due to Joule heating. Where does this power come from ?

A circular coil of area 300 cm ^(2) and 25 turns rotates about its vertical diameter with an angular speed of 40 s ^(-1) in a uniform horizontal magnetic field of magnitude 0.05 T . Obtain the maximum voltage induced in the coil .

(a) Draw a schematic diagram of an AC generator. Explain is working and obtain the expression for the instantaneous value of the emf in terms of the magnetic field B, number of turns N of the coil of area A rotating with angular frequency omega . Show how an alternating emf is generated by loop of wire rotating in a magnetic field. (b) A circular coil of radius 10 cm and 20 turns is rotated about its vertical diameter with angular speed of 50 rad s^(-1). in a uniform horizontal magnetic field of 3.0xx10^(-2)T . (i) Calculate the maximum and average emf induced in the coil. (ii) If the coil forms a closed loop of resistance 10 Omega , calculate the maximum current in the coil and the average power loss due to Joule heating.

A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rad s^(-1) in a uniform horizontal magnetic field of 3.0xx10^(-2) T. The maximum emf induced the coil will be _________ xx 10^( -2) volt (rounded off to the nearest integer).

A circular coil of radius 6 cm and 20 turns rotates about its vertical diameter with an angular speed of 40"rad"s^(-1) in a uniform horizontal magnetic field of magnitude 2xx10^(-2)T . If the coil form a closed loop of resistance 8 Omega , then the average power loss due to joule heating is

A circular coil of cross-sectional area 200 cm^(2) and 20 turns is rotated about the vertical diameter with angular speed of 50 rad//s in a uniform magnetic of 3.0 xx 10^(-2) T . Calculate the maximum value of current in the coil.

A circular coil of 30 turns and area 250 cm^(2) is rotating about its vertical diameter with an angular velocity of 50 "rad" // s , when placed in a uniform magnetic field of strength 0.02 T, acting horizontally to its plane. Calculate the maximum voltage induced in the coil.