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When the current through a solenoid incr...

When the current through a solenoid increases at a constant rate, the induced current in the solenoid

A

is a constant and is opposite to the direction of the inducing current

B

is a constant and is opposite to the direction of the inducing current

C

increase with time and is in the direction of the inducing current

D

increase with time and opposite to the direction of the inducing current

Text Solution

Verified by Experts

The correct Answer is:
b
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Knowledge Check

  • A technician wraps wire around a tube of length 4pi^2 cm having a diameter of 8.00cm. When the windings are evenly spread over the full length of the tube, the result is a solenoid containing 1000turns of wire. If the current in this solonoid increases at the rate of 4.00A/s the self-induced emf in the solenoid is

    A
    32mV
    B
    16mV
    C
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    D
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  • A ring of area A and resistance R is placed on the axis of a solenoid. The mutual inductance between them is M . When the current in the solenoid changes at the rate of I , the magnetic moment of the ring is

    A
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    B
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    C
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    D
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  • The flux linked with a coil is 0.8 Wb when a 2 A current is flowing through it. If this current begins to increases at the rate of 400 A//s , the induced emf in the coil will be

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    A solenoid with N loops of wire tightly wrapped around an iron-core is carrying an electric current I. If the current through this solenoid is reduced to half, then what change would you expect in inductance L of the solenoid.

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    A long solenoid having n = 200 turns per metre has a circular cross-section of radius a_(1) = 1 cm . A circular conducting loop of radius a_(2) = 4 cm and resistance R = 5 (Omega) encircles the solenoid such that the centre of circular loop coincides with the midpoint of the axial line of the solenoid and they have the same axis as shown in Fig. A current 't' in the solenoid results in magnetic field along its axis with magnitude B = (mu)ni at points well inside the solenoid on its axis. We can neglect the insignificant field outside the solenoid. This results in a magnetic flux (phi)_(B) through the circular loop. If the current in the winding of solenoid is changed, it will also change the magnetic field B = (mu)_(0)ni and hence also the magnetic flux through the circular loop. Obvisouly, it will result in an induced emf or induced electric field in the circular loop and an induced current will appear in the loop. Let current in the winding of solenoid be reduced at a rate of 75 A //sec . When the current in the solenoid becomes zero so that external magnetic field for the loop stops changing, current in the loop will follow a differenctial equation given by [You may use an approximation that field at all points in the area of loop is the same as at the centre

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