If N is the total number of turns in a coil, then the value of self-inductance varies as

  • N°

  • N

  • N2

  •  N

Eddy currents are produced in a material when it is?

  • heated.

  • placed in an electric field.

  • placed in a uniform constant magnetic field.

  • placed in a time-varying magnetic field.

Lenz's law associated with Faraday's laws of electromagnetic induction are consequence of the conservation of

  • Charge

  • Energy

  • Magnetic field

  • Mass

Self inductances of two uncoupled coils are 40 mH and 90mH. Their mutual inductance is

  • 60 mH

  • 130 mH

  • 50 mH

  • Zero

Magnetic flux through a circuit of resistance 20 Ω is changed from 20 Wb to 40 Wb in 5 ms. The charge passed through the circuit during this time is

  • 1C

  • 2C

  • Zero

  • 0.5C

A long straight conductor, carrying current I, is fixed on a smooth plane. A circular loop is placed on the same plane as shown in the figure. If the current I through the wire is increasing, then the loop will move towards:

  • Right

  • Left

  • Up 

  • Down

Two coils have a mutual inductance of 5mH. The current changes in the first coil according to the equation l = l0cosωt, where l0 = 10 A and ω = 100π rad/s. The maximum value of e.m.f. induced in the second coil is?

  • 5π Volt

  • 2π Volt

  • 4π Volt

  •  π Volt

A circular loop is placed near a current-carrying conductor as shown. If the current in the straight conductor is decreasing, then the direction of the induced current in the loop is

  • Clockwise

  • Anticlockwise

  • Into the page 

  • Out of the page

Two rails of a railway track insulated from each other on the ground are connected to a millivoltmeter. The reading of millivoltmeter when the train travels at a speed of 20m/s along the track is (Given: Bv = 0.2×10-4 Wb/m2 and distance between the rails is 1m)

  • 10 mV

  • 0.4 mV

  • 40 mV

  • 4 mV

The current through a choke coil increases from zero to 6A in 0.3 seconds and an induced emf of 30 V is produced. The inductance of the coil is?

  • 5H

  • 2.5H

  • 1.5H

  • 2H

Self-inductance of primary and secondary of a perfectly coupled coil is 40 mH and 90mH respectively. Coefficient of mutual induction between them is

  • 65 mH

  • 50 mH

  • 130 mH

  • 60 mH

A conducting square loop of side L and resistance R moves in its plane with a uniform velocity v perpendicular to one of its sides. A constant magnetic field B exists as shown in the figure. Mechanical power required to maintain its uniform velocity is

  •  B2L2v2R

  •  B2L2v22R

  •  B2L2v24R

  • Zero

A conducting disc of radius r rotates about its axis with an angular speed ω in a uniform magnetic field B perpendicular to the plane of the disc as shown. A resistance R is connected between centre and rim of the disc, then-

  • No e.m.f. will induce across the resistance

  • E.m.f. will induce and A is at high potential

  • Current in resistance will flow from A to B

  • Resistance becomes hot due to Joule's heating

A train is moving on a straight horizontal track. Induced emf across the axle is maximum when it moves

  • At poles

  • At equator

  • Along the direction where the angle of dip is 45°

  • Emf is not induced

A square loop enters a magnetic field with velocity v as shown in the figure. The front edge enters the magnetic field at time t = 0. Which of the following graphs gives the correct variation of emf ε induced in the loop with time t for its constant velocity in the magnetic field? [Take anticlockwise current as negative and vice versa]

  •                   

  •  

  •                   

  •  

A rectangular metal loop ABCD of is passed through the magnetic field with a constant velocity v. Which of the following represents power (P) dissipated vs time (t) graph?

  •  

  •  

  •  

  •  

Self-inductance of a solenoid is 5 mH. If the current is decreasing through it at the rate 10+3 A/s, then emf induced in the solenoid is

  • -5V

  • 5V

  • 2.5V

  • -2.5V

Keeping number of turns constant self inductance L of a solenoid varies with its length l as

  • Ll

  • L1l

  • Ll2

  • L1l2

A conducting rod AC of length 4l is rotated with angular velocity ω about a point O in a uniform magnetic field B directed into the plane of the paper. If AO = l and OC = 3l, then the potential difference between A and C, VA - VC is

  •  2Bωl2

  •  Bωl2

  •  3Bωl2

  •  4Bωl2

A flexible wire bent in the form of a circle is placed in a uniform magnetic field perpendicular to the plane of the circle. The radius r of the circle changes with time t as shown in the figure. The graph of the magnitude of induced emf e versus time t in the circle is represented by

  •  

  •  

  •  

  •  

A cylindrical space of radius R is filled with a uniform magnetic induction B parallel to the axis of the cylinder. If B changes at a constant rate, the graph showing the variation of the induced electric field with distance r from the axis of the cylinder is

  •  

  •  

  •  

  •  

A long conducting wire AH is moved over a conducting triangular wire CDE with a constant v in a uniform magnetic field B directed into the plane of the paper. Resistance per unit length of each wire is r. Then

  • A clockwise induced current will flow in the closed-loop.

  • No induced current will flow in the closed-loop.

  • Induced current in the closed-loop alternately changes its direction.

  • An anticlockwise induced, the current will flow in the closed-loop.

The figure below shows a square loop of side 0.5 m and resistance 10 Ω. The magnetic field has a magnitude B = 1.0 T. The work done in pulling the loop out of the field slowly and uniformly in 2 seconds is

  • 3.125×10-3J

  • 6.25×10-4J

  • 1.25×10-2J

  • 5.0 ×10-4J

The wires P1Q1 and P2Q2 are made to slide on the rails with the same speed 10m/s. If P1Q1 moves towards left and P2Q2 moves towards the right, then the electric current in the 19Ω resistor is

  • 1mA

  • Zero

  • 10 mA

  • 0.1 mA

The triangular circuit ABC shown in the figure is in a very long solenoid of radius R such that the plane of the triangular circuit is normal to the length of the solenoid. If the magnetic field changes at the rate dB/dt, then the induced emf in the triangular circuit is

  •  R3dBdt

  •  R2dBdt

  •  RdBdt

  •  RdBdt

If conducting triangle is pulled out with a uniform velocity from the uniform magnetic field, as shown in the figure, then which graph of induced current versus time is possible?

  •  

  •  

  •  

  •  

Two circular coils of different radii lie in the same plane with their centres at same point i.e. inner coil is surrounded by a bigger outer coil. If the current in the outer coil is clockwise and increasing with time, then induced current in the inner loop is

  • Anticlockwise

  • Zero

  • Clockwise

  • Depends on resistances

A field of 0.2 T acts perpendicular to a coil of area 100cm2 with 50 turns. If the coil is removed within 0.1s from the field, then the minimum emf induced in the coil is

  • 1 V

  • 2 V

  • 3 V

  • 4 V

If by keeping number of turns per unit length constant, the volume of an air-core inductor is doubled, then its self-inductance will become/remain

  • Two times

  • Half

  • Same

  • Four times

Eddy currents are used in 

  • Induction furnace

  • Electromagnetic brakes

  • Speedometers

  • All of these

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