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In a coil of resistance 100Omega, a curr...

In a coil of resistance `100Omega`, a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is

A

200 Wb

B

225 Wb

C

250 Wb

D

275 Wb

Text Solution

Verified by Experts

The correct Answer is:
C
Induced emf,
`|e|=(dphi)/(dt)or,iR=(dphi)/(dt)`
or, `intdphi=Rintidt`
or, `phi=Rxx` area enclosed by the graph and axes
`=100xx(1)/(2)xx0.5xx10=250Wb`
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A coil of resistance 100 Omega having 100 turns is placed in a magnetic field. A galvanometer of resistance 400 Omega is connected in series with it. If the coil is brought from the present magnetic field to another magnetic field in (1)/(10)s , determine the average emf and the current. Given, the initial and final magnetic flux linked with each turn of the coil are 1 mWb and 0.2 mWb respectively.

A closed circular coil having a diameter of 50 cm and of 200 turns, with a total resistance of 10Omega is placed with its plane at right angles to a magnetic field of strength 10^(-2)T . Calculate the quantity of electric charge that flows through it when the coil is turned through 180^(@) about its diameter.

Knowledge Check

  • Current (i) passing through a coil varies with time t as i=2t^(2) . At 1 s total flux passing through the coil is 10 Wb. Then

    A
    self-inductance of the coil is 10 H
    B
    self-inductance of the coil is 5 H
    C
    induced emf across the coil at 1 s is 20 V
    D
    induced emf across the coil at 1 s is 10 V

  • In the circuit shown the current through 2 Omega resistance is

    A
    5A
    B
    2A
    C
    0A
    D
    4A

  • A galvanometer having a coil resistance of 100Omega gives a full scale deflection, when a current of 1 mA is passed through it. The value of the resistance, which can convert this galvanometer into ammeter giving a full scale deflection for a current of 10 A, is

    A
    `3Omega`
    B
    `0.01Omega`
    C
    `2Omega`
    D
    `0.1Omega`

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