JEE Questions for Physics Electromagnetic Induction Quiz 13 - MCQExams.com

A thin semicircular conducting ring of radius R is falling with its plane vertical in a horizontal induction B. At the position MNQ, the speed of the ring is V and the potential difference developed across the ring is
Physics-Electromagnetic Induction-69418.png
  • Zero
  • B πR2/2 and M is at higher potential
  • πRBV and Q is at higher potential
  • 2RBV and Q is at higher potential
At a place the value of horizontal component of the earth\'s magnetic field H is 3 × 10–5 weber/m2. Ametallic rod AB of length 2 m placed in east-west direction, having the end A towards east, falls vertically downward with a constant velocity of 50 m/s. Which end of the rod becomes positively charged and what is the value of induced potential difference between the two ends
  • End A, 3 × 10–3 mV
  • End A, 3 mV
  • End B, 3 × 10–3 mV
  • End B, 3 mV
Consider the situation shown in the figure. The wire AB is sliding on the fixed rails with a constant velocity. If the wire AB is replaced by semicircular wire, the magnitude of the induced current will
Physics-Electromagnetic Induction-69421.png
  • Increase
  • Remain the same
  • Decrease
  • Increase or decrease depending on whether the semicircle bulge is towards the resistance or away from it
A circular loop of radius R carrying current I lies in x-y plane with its centre at origin. The total magnetic flux through x-y plane is
  • Directly proportional to I
  • Directly proportional to R
  • Directly proportional to R2
  • Zero
Two coils have a mutual inductance 0.005 H. The current changes in the first coil according to equation I = I0 sin ωt, where I0 = 10 A and ω = 100 π radian/sec. The maximum value of e.m.f. in the second coil is
  • 2 π
  • 5 π
  • π
  • 4 π
A small square loop of wire of side 1 is placed inside a large square loop of wire of side L (L >1). The loops are coplanar and their centres coincide. The mutual inductance of the system is proportional to
  • l /L
  • 12/L
  • L/1
  • L2/ l
A wire of length 1 m is moving at a speed of 2 ms–1 perpendicular to its length and in a homogeneous magnetic field of 0.5 T. The ends of the wire are joined to a circuit of resistance 6 Ω The rate at which work is being done to keep the wire moving at constant speed is

  • Physics-Electromagnetic Induction-69424.png
  • 2)
    Physics-Electromagnetic Induction-69425.png

  • Physics-Electromagnetic Induction-69426.png
  • 1W
An inductor of 2 henry and a resistance of 10 ohms are connected in series with a battery of 5 volts. The initialrate of change of current is
  • 0.5 amp/sec
  • 2.0 amp/sec
  • 2.5 amp/sec
  • 0.25 amp/sec
An inductor–resistor–battery circuit is switched on at t = 0. If the emf of battery is ϵ find the charge passes through the battery in one time constant τ.

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  • 2)
    Physics-Electromagnetic Induction-69663.png

  • Physics-Electromagnetic Induction-69664.png

  • Physics-Electromagnetic Induction-69665.png
As shown in the figure a metal rod makes contact and completes the circuit. The circuit is perpendicular to the magnetic field with B = 0.15 tesla. If the resistance is 3 Ω force needed to move the rod as indicated with a constant speed of 2 m/sec is
Physics-Electromagnetic Induction-69429.png
  • 3.75 × 10–3 N
  • 3.75 × 10–2 N
  • 3.75 × 102 N
  • 3.75 × 10–4 N
In the following figure, the magnet is moved towards the coil with a speed v and induced e.m.f.e. If magnet and coil recede away from one another each moving with speed v, the induced e.m.f. in the coil will be
Physics-Electromagnetic Induction-69431.png
  • e
  • 2e
  • e/2
  • 4e
A current carrying solenoid is approaching a conducting loop as shown in the figure. The direction of induced current as observed by an observer on the other side of the loop will be
Physics-Electromagnetic Induction-69433.png
  • Anticlockwise
  • Clockwise
  • East
  • West
A conducting wire frame is placed in a magnetic field which is directed into the paper. The magnetic field is increasing at a constant rate. The directions of induced current in wires AB and CD are
Physics-Electromagnetic Induction-69435.png
  • B to A and D to C
  • A to B and C to D
  • A to B and D to C
  • B to A and C to D
A square metallic wire loop of side 0.1 m and resistance of 1 Ω is moved with a constant velocity in a magneticfield of 2 wb/m2 as shown in figure. The magnetic field is perpendicular to the plane of the loop, loop is connected to a network of resistances. What should be the velocity of loop, so as to have a steady current of lmA in loop
Physics-Electromagnetic Induction-69437.png
  • 1 cm/sec
  • 2 cm/sec
  • 3 cm/sec
  • 4 cm/sec
A conductor ABOCD moves along its bisector with a velocity of 1 m/s through a perpendicular magnetic field of 1 wb/m2, as shown in fig. If all the four sides are of lm length each, then the induced e.m.f. betweenpoints A and D is
Physics-Electromagnetic Induction-69439.png
  • 0
  • 1.41 volt
  • 0.71 volt
  • None of the above
A conducting rod PQ of length L = 1.0 m is moving with a uniform speed v = 2 m/s in a uniform magnetic field B = 4.0 T directed into the paper. A capacitor of capacity C =10µF is connected as shown in figure. Then
Physics-Electromagnetic Induction-69441.png
  • qA = + 80 μC and qB = – 80 μC
  • qA = – 80 μC and qB = + 80μC
  • qA= 0 = qB
  • Charge stored in the capacitor increases exponentially with time
The resistance in the following circuit is increased at a particular instant. At this instant, the value of resistance is 10 Ω. The current in the circuit will be
Physics-Electromagnetic Induction-69443.png
  • i = 0.5 A
  • i > 0.5 A
  • i < 0.5 A
  • i = 0
Shown in the figure is a circular loop of radius r and resistance R. A variable magnetic field of induction B = B0 e–t is established inside to coil. If the key (K) isclosed, the electrical power developed right after closing the switch is equal to
Physics-Electromagnetic Induction-69445.png

  • Physics-Electromagnetic Induction-69446.png
  • 2)
    Physics-Electromagnetic Induction-69447.png

  • Physics-Electromagnetic Induction-69448.png

  • Physics-Electromagnetic Induction-69449.png
A conducting ring is placed around the core of an electromagnet as shown in fig. When key K is pressed, the ring
Physics-Electromagnetic Induction-69451.png
  • Remain stationary
  • Is attracted towards the electromagnet
  • Jumps out of the core
  • None of the above
The north and south poles of two identical magnets approach a coil, containing a condenser, with equal speeds from opposite sides. Then
Physics-Electromagnetic Induction-69452.png
  • Plate 1 will be negative and plate 2 positive
  • Plate 1 will be positive and plate 2 negative
  • Both the plates will be positive
  • Both the plates will be negative
A highly conducting ring of radius R is perpendicular to and concentric with the axis of a long solenoid as shown in fig. The ring has a narrow gap of width din its circumference. The solenoid has cross-sectional area A and a uniform internal field of magnitude B0. Now beginning at t = 0, the solenoid current is steadily increased, so that the field magnitude at any time t is given by B(t) = B0 + αt, where α >0. Assuming that no charge can flow across the gap, the end of ring which has excess of positive charge and the magnitude of induced e.m.f. in the ring are respectively
Physics-Electromagnetic Induction-69454.png
  • X, Aα
  • X, πR2α
  • Y, πA2α
  • Y, πR2α
Plane figures made of thin wires of resistance R = 50 milli ohm/metre are located in a uniform magnetic field perpendicular into the plane of the figures and which decrease at the rate dB/dt = 0.1 m T/s. The current in the inner and outer boundary are inner radius a = 10 cm and outer radius b = 20 cm
Physics-Electromagnetic Induction-69456.png
  • 10–4A (Clockwise), 2 × 10–4A (Clockwise)
  • 10–4A (Anticlockwise), 2 × 10–4A (Clockwise)
  • 2 × 10–4A (Clockwise), 10–4A (Anticlockwise)
  • 2 × 10–4A (Anticlockwise), 10–4A (Anticlockwise)
A rectangular loop with a sliding connector of length l = 1.0 m is situated in a uniform magnetic field B = 2T perpendicular to the plane of loop. Resistance of connector is r = 2 Ω. Two resistors of 6 Ω and 3 Ω are connected as shown in figure. The external force required to keep the connector moving with a constant velocity v = 2m/s is
Physics-Electromagnetic Induction-69458.png
  • 6 N
  • 4 N
  • 2 N
  • 1 N
A wire cd of length land mass m is sliding without friction on conducting rails ax and by as shown. The vertical rails are connected to each other with a resistance R between a and b. A uniform magnetic field B is applied perpendicular to the plane abcd such that cd moves with a constant velocity of
Physics-Electromagnetic Induction-69460.png

  • Physics-Electromagnetic Induction-69461.png
  • 2)
    Physics-Electromagnetic Induction-69462.png

  • Physics-Electromagnetic Induction-69463.png

  • Physics-Electromagnetic Induction-69464.png

Physics-Electromagnetic Induction-69466.png

  • Physics-Electromagnetic Induction-69467.png
  • 2)
    Physics-Electromagnetic Induction-69468.png

  • Physics-Electromagnetic Induction-69469.png

  • Physics-Electromagnetic Induction-69470.png
What is the mutual inductance of a two-loop system as shown with centre separation l
Physics-Electromagnetic Induction-69472.png

  • Physics-Electromagnetic Induction-69473.png
  • 2)
    Physics-Electromagnetic Induction-69474.png

  • Physics-Electromagnetic Induction-69475.png

  • Physics-Electromagnetic Induction-69476.png
The figure shows three circuits with identical batteries inductors, and resistors, Rank the circuits, in the decreasing order, according to the current through the batter (i) just after the switch is closed and (ii) a longtime later
Physics-Electromagnetic Induction-69478.png

  • Physics-Electromagnetic Induction-69479.png
  • 2)
    Physics-Electromagnetic Induction-69480.png

  • Physics-Electromagnetic Induction-69481.png

  • Physics-Electromagnetic Induction-69482.png
An emf of 15 V is applied in a circuit containing 5H inductance & 10 Ω resistance. The ratio of the currents at time t = ∞ and at t = 1sec.

  • Physics-Electromagnetic Induction-69667.png
  • 2)
    Physics-Electromagnetic Induction-69668.png

  • Physics-Electromagnetic Induction-69669.png

  • Physics-Electromagnetic Induction-69670.png
The network shown in the figure is part of a complete circuit. If at a certain instant the current i is 5 A and isdecreasing at the rate of 103 A/s, then VA– VB is
Physics-Electromagnetic Induction-69484.png
  • 5 V
  • 10 V
  • 15 V
  • 20 V
A 50 volt potential difference is suddenly applied to a coil with L = 5 ×10–3henry and R = 180 ohm. The rate of increase of current after 0.001 second is
  • 27.3 amp/sec
  • 27.8 amp/sec
  • 2.73 amp/sec
  • None of these
A conducting ring of radius 1 meter is placed in an uniform magnetic field B of 0.01 tesla oscillating with frequency 100 Hz with its plane at right angles to B.What will be the induced electric field?
  • πvolt/m
  • 2 volt/m
  • 10 volt/m
  • 62 volt/m
A 16 μF capacitor is charged to a 20 volt potential. The battery is then disconnected and pure 40 mH coil is connected across the capacitor, so that LC oscillations are setup. The maximum current in the coil is
  • 0.2 A
  • 40 mA
  • 2 A
  • 0.4 A
In an oscillation of L–C circuit, the maximum charge on the capacitor is Q. The charge on the capacitor, when the energy is stored equally between the electric andmagnetic field is

  • Physics-Electromagnetic Induction-69489.png
  • 2)
    Physics-Electromagnetic Induction-69490.png

  • Physics-Electromagnetic Induction-69491.png

  • Physics-Electromagnetic Induction-69492.png
Two concentric coils each of radius equal to 2 π cm are placed at right angles to each other. 3 A and 4 A are the currents flowing in each coil respectively. The magnetic induction in Wb/m2 at the centre of the coils will be(µ0 = 4 π× 10–7 Wb/Am)
  • 12 × 10–5
  • 10–5
  • 5 × 10–5
  • 7 × 10–5
A conducting circular loop is placed in a uniform magnetic field, B = 0.025 T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of 1 mms–1. The induced e.m.f. whenradius is 2 cm, is
  • 2µV
  • 2 πµ V
  • π µV

  • Physics-Electromagnetic Induction-69495.png
The current through a 4.6 H inductor is shown in the following graph. The induced e.m.f. during the time interval t = 5 milli-sec to 6 milli-sec will be
Physics-Electromagnetic Induction-69497.png
  • 103 V
  • –23 × 103 V
  • 23 × 103 V
  • Zero
An alternating current of frequency 200 rad/sec and peak value 1 A as shown in the figure, is applied to the primary of a transformer. If the coefficient of mutual induction between the primary and the secondary is 1.5 H, the voltage induced in the secondary will be
Physics-Electromagnetic Induction-69499.png
  • 300 V
  • 191 V
  • 220 V
  • 471 V
A horizontal loop abcd is moved across the pole pieces of a magnet as shown in fig. with a constant speed v. When the edge ab of the loop enters the pole pieces at time t = 0 sec, which one of the following graphs represents correctly the induced e.m.f. in the coil
Physics-Electromagnetic Induction-69501.png

  • Physics-Electromagnetic Induction-69502.png
  • 2)
    Physics-Electromagnetic Induction-69503.png

  • Physics-Electromagnetic Induction-69504.png

  • Physics-Electromagnetic Induction-69505.png
Some magnetic flux is changed from a coil of resistance 10 ohm. As a result an induced current is developed in it, which varies with time as shown in figure. The magnitude of change in flux through the coil in webers is
Physics-Electromagnetic Induction-69506.png
  • 2
  • 4
  • 6
  • None of these
The graph gives the magnitude B(t) of a uniform magnetic field that exists throughout a conducting loop, perpendicular to the plane of the loop. Rank the five regions of the graph according to the magnitude of the e.m.f. induced in the loop, greatest first
Physics-Electromagnetic Induction-69508.png
  • b > (d = e) < (a = c)
  • b > (d = e) > (a = c)
  • d < d < e < c < a
  • b > (a = c) > (d = e)
Figure (i) shows a conducting loop being pulled out of a magnetic field with a speed v. Which of the four plots shown in figure (ii) may represent the power delivered by the pulling agent as a function of the speed v
Physics-Electromagnetic Induction-69510.png
  • a
  • b
  • c
  • d
A rectangular loop is being pulled at a constant speed v, through a region of certain thickness d, in which a uniform magnetic field B is set up. The graph between position x of the right hand edge of the loop and the induced e.m.f. E will be
Physics-Electromagnetic Induction-69512.png

  • Physics-Electromagnetic Induction-69513.png
  • 2)
    Physics-Electromagnetic Induction-69514.png

  • Physics-Electromagnetic Induction-69515.png

  • Physics-Electromagnetic Induction-69516.png
The current i in an inductance coil varies with time t according to the graph shown in fig. Which one of the following plots shows the variation of voltage in the coil with time
Physics-Electromagnetic Induction-69518.png

  • Physics-Electromagnetic Induction-69519.png
  • 2)
    Physics-Electromagnetic Induction-69520.png

  • Physics-Electromagnetic Induction-69521.png

  • Physics-Electromagnetic Induction-69522.png
When a certain circuit consisting of a constant e.m.f. E, an inductance L and a resistance R is closed, the current in it increases with time according to curve 1. After one parameter (E, L or R) is changed, the increase in current follows curve 2 when the circuit is closed second time. Which parameter was changed and in what direction
Physics-Electromagnetic Induction-69523.png
  • L is increased
  • L is decreased
  • R is increased
  • R is decreased
A flexible wire bent in the form of a circle is placed in a uniform magnetic field perpendicular to the plane of the coil. The radius of the coil changes as shown in figure. The graph of in the coil is represented by
Physics-Electromagnetic Induction-69525.png

  • Physics-Electromagnetic Induction-69526.png
  • 2)
    Physics-Electromagnetic Induction-69527.png

  • Physics-Electromagnetic Induction-69528.png

  • Physics-Electromagnetic Induction-69529.png
The current i in an induction coil varies with time t according to the graph shown
in figure. Which of the following graphs shows the induced e.m.f. (e) in the coil with time
Physics-Electromagnetic Induction-69531.png

  • Physics-Electromagnetic Induction-69532.png
  • 2)
    Physics-Electromagnetic Induction-69533.png

  • Physics-Electromagnetic Induction-69534.png

  • Physics-Electromagnetic Induction-69535.png
In an L -R circuit connected to a battery the rate at which energy is stored in the inductor is plotted against time during the growth of the current in the circuit. Which of the following best represents the resulting curve

  • Physics-Electromagnetic Induction-69537.png
  • 2)
    Physics-Electromagnetic Induction-69538.png

  • Physics-Electromagnetic Induction-69539.png

  • Physics-Electromagnetic Induction-69540.png
Two coils have a mutual inductance 0.005 H The current changes in a coil according to equation I = Iosinωt Where Io = 10 A & ω = 100 π rad s–1 The maximum value of emf in second coil is.....
  • 2π
  • 5π
  • π
  • 4π
Switch S of the circuit shown in figure is closed at t = 0. If e denotes the induced z
e.m.f. in L and i the current flowing through the circuit at time t, which of the following graph is correct
Physics-Electromagnetic Induction-69542.png

  • Physics-Electromagnetic Induction-69543.png
  • 2)
    Physics-Electromagnetic Induction-69544.png

  • Physics-Electromagnetic Induction-69545.png

  • Physics-Electromagnetic Induction-69546.png
For previous objective, which of the following graphs is correct

  • Physics-Electromagnetic Induction-69547.png
  • 2)
    Physics-Electromagnetic Induction-69548.png

  • Physics-Electromagnetic Induction-69549.png

  • Physics-Electromagnetic Induction-69550.png
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