If N is the total number of turns in a coil, then the value of self-inductance varies as
N°
N
N2
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
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
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
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
L∝l
L∝1l
L∝l2
L∝1l2
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
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
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
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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