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All questions of Electromagnetic Induction for JEE Exam

Eddy currents have negative effects. Because they produce
  • a)
    Harmful radiation
  • b)
    Heating and damping
  • c)
    Damping only
  • d)
    Heating only
Correct answer is option 'B'. Can you explain this answer?

Mamali . answered
When a conductive material is subjected to a time-varying magnetic flux, eddy currents are generated in the conductor. These eddy currents circulate inside the con- ductor generating a magnetic field of opposite polarity as the applied magnetic field. The interaction of the two magnetic fields causes a force that resists the change in magnetic flux. However, due to the internal resistance of the conductive material, the eddy currents will be dissipated into heat and the force will die out. As the eddy currents are dissipated, energy is removed from the system, thus producing a damp- ing effect.

Suppose there are two coils of length 1m with 100 and 200 turns and area of cross section of 5 x 10-3 m2. Find the mutual inductance.
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

Om Desai answered
The magnetic field through the secondary of N2 turns of each other of area S is given as,
N2= Φ2=N2(BS)
     =μ0n1N2i1S
M= N2Φ2/i1
M= μ0n1N2S
Substituting the values.
M=(4πx10-7) x100x200x5x10-3
   =1287142.86x10-10
   =12.57x10-5H

Which of the following will not increase the size and effect of eddy current?
  • a)
    Low resistivity materials
  • b)
    Strong magnetic field
  • c)
    Thicker material
  • d)
    Thinner material
Correct answer is option 'D'. Can you explain this answer?

Hansa Sharma answered
Stronger magnetic field, thicker material and low resistivity material will increase the size and effect of eddy current whereas thinner material will reduce the effect of eddy currents.

Which of the following quantities can be written in SI units in K gm2 A-2 S-3 ?
  • a)
    Resistance
  • b)
    Inductance 
  • c)
    Capacitance
  • d)
    Magnetic flux
Correct answer is option 'A'. Can you explain this answer?

Nikita Singh answered
The dimensional formula of a given unit is [ML2T−3A−2].
So, from the given option only resistance has this dimensional formula so resistance is the correct answer.

The mutual induction does not depend on which of the following factors
  • a)
    Number of turns
  • b)
    Shape of the two coils
  • c)
    Distance between two coils
  • d)
    Current through both the coils
Correct answer is option 'D'. Can you explain this answer?

Rajat Patel answered
The factors which determine the value of mutual inductance are —
a. number of turns of the coils
b. separation of coils
c. geometric shape and size of coils
d. angular orientation between the coils

Identify the type of commercial motor which works as a consequence of eddy currents.
  • a)
    Compressors
  • b)
    Induction motors
  • c)
    Turbines
  • d)
    Hydropowered motors
Correct answer is option 'B'. Can you explain this answer?

Varun Kapoor answered
A rotating magnetic field is produced employing two single-phase currents. A metallic rotor placed inside the rotating magnetic field starts rotating due to large eddy currents produced in it. These motors are commonly used in fans.

Eddy currents do not cause:
  • a)
    sparking
  • b)
    heating
  • c)
    loss of energy
  • d)
    damping
Correct answer is option 'A'. Can you explain this answer?

During braking, the metal wheels are exposed to a magnetic field from an electromagnet, generating eddy currents in the wheels. So, by Lenz's law, the magnetic field formed by the Eddy current will oppose its cause. Thus the wheel will face a force opposing the initial movement of the wheel.

A magnet is moved towards the coil (a) quickly and (b) slowly, and then the work done is​
  • a)
    does not depend on the motion of the magnet.
  • b)
    smaller in case (a)
  • c)
    equal in both cases
  • d)
    larger in case (a)
Correct answer is option 'D'. Can you explain this answer?

Jayant Mishra answered
A magnet is moved towards the coil (a) quickly and (b) slowly, and then the work done is This is because when the magnet is moved quickly, opposing emf induced in the coil will be more.

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 currents in wires AB and CD are
                   
  • a)
     B to A and D to C 
  • b)
    A to B and C to D
  • c)
    A to B and D to C
  • d)
    B to A and C to D
Correct answer is option 'A'. Can you explain this answer?

Preeti Khanna answered
Consider the surface facing upwards having points A, B, C and D in anticlockwise direction when viewing towards the surface from above. Let this be S
flux = S×B
As the flux increases, by Lenz's Law the induced current will be in the direction C B A D C, so as to oppose the increase in flux.

The role of inductance is equivalent to:
  • a)
    energy
  • b)
    force
  • c)
    inertia
  • d)
    momentum
Correct answer is option 'C'. Can you explain this answer?

Rahul Bansal answered
Self induction is that phenomenon in which a change in electric current in a coil produces an induced emf in the coil itself.
Now, it is also known as inertia of electricity as for if we were to change electric current through a current carrying coil it will tend to oppose any further change in its emf. This is similar to inertial behavior in mechanics where bodies in either rest or motion tend to oppose any change in their state. Here mass is the inertial property analogous to self inductance.

The no-load current drawn by transformer is usually what per cent of the full-load current ?
  • a)
    0.2 to 0.5 per cent
  • b)
    2 to 5 per cent
  • c)
    12 to 15 per cent
  • d)
    20 to 30 per cent
Correct answer is option 'B'. Can you explain this answer?

The no load current is about 2-5% of the full load current and it accounts for the losses in a transformer. These no-load losses include core(iron/fixed) losses, which contains eddy current losses & hysteresis losses and the copper(I2*R) losses due to the no Load current.

Find the dimension of the quantity , where symbols have usual meaning.
  • a)
    A-1
  • b)
    A-2
  • c)
    A
  • d)
    A2
Correct answer is option 'A'. Can you explain this answer?

Harsh Singhal answered
On multiply w in upper & lower side we get inductive reactance & capacitive reactance
so on cancel out in term of unit we get R/V
which is equal to 1/i= A-1

When a wire loop is rotated in a magnetic field, the direction of induced emf changes once in each
  • a)
    2 revolutions
  • b)
    1 revolution
  • c)
    1/2 revolution
  • d)
    12 revolution
Correct answer is option 'C'. Can you explain this answer?

Rajeev Saxena answered
Flux of the magnetic field through the loop is ϕ=Bπr2coswt
Where θ= angle the normal makes with the portion of the loop in duced emf.
∈=wBπr2sinwt
These is zero when wt=nπ ie
When θ=0,π,2π.... etc.
So, the induced emf changes direction every half rotation.

Inductance is a _______ quantity. Its dimension is ________.
  • a)
    scalar, [ML2T-2 A-2]
  • b)
    scalar, [MLT-2 A-2]
  • c)
    vector, [ML2T-2 A-2]
  • d)
    scalar, [ML2T2 A-2]
Correct answer is option 'A'. Can you explain this answer?

Preeti Iyer answered
It is also called the Coefficient of induction. Coefficient of induction is about the ratio of current induced with respect to magnetic flux. This constant of proportionality is known as Inductance. It is a scalar quantity.
The dimension of inductance- M1·L2·T−2·A−2

Figure shown plane figure made of a conductor located in a magnetic field along the inward normal to the plane of the figure. The magnetic field starts diminishing. Then the induced current
                       
  • a)
     At point P is clockwise 
  • b)
    At point Q is anticlockwise
  • c)
    At point Q is clockwise 
  • d)
    At point R is zero
Correct answer is option 'A,C,D'. Can you explain this answer?

Divey Sethi answered

As the field diminishes the current is induced in the coils such that if opposes the diminishing of the field. Hence, current is induced in clockwise directing in both the loops.
And as the loops are closed no current will come out of the loops and no current at point R.
Hence option A C D is the correct option.

In the given circuit the maximum deflection in the galvanometer occurs when
  • a)
    magnet is rotated inside the coil
  • b)
    magnet is stationary at the center of the coil.
  • c)
    numbers of turns in the coil is reduced.
  • d)
    magnet is pushed into the coil.
Correct answer is option 'D'. Can you explain this answer?

sankalp raj answered
This question based on lenz law. as the bar magnet is moving , there is a change in magnetic flux.This will give polarity in the coil. Hence the current developed in the coil. so the option d is right.

A constant current I is maintained in a solenoid. Which of the following quantities will not increase if an iron rod is inserted in the solenoid along its axis?
  • a)
    Magnetic field at the centre.
  • b)
    Self-inductance of the solenoid.
  • c)
    Magnetic flux linked with the solenoid.
  • d)
    Rate of joule heating.
Correct answer is option 'D'. Can you explain this answer?

Fahad Chauhan answered
Magnetic field is directly proportional to permiability and when iron rod is inserted the relative permeability changes and thus magnetic field , self inductance is proportional to flux which is proportional to magnetic field and thus follow above explanation, and remaining last option rate of heating =I²R and both these factors doesn't get affected by iron rod , and hence this is correct option.

A coil of 100 turns is pulled in 0.04 sec. between the poles of a magnet, if its flux changes from 40 x 10-6 Wb per turn to 10-5 Wb per turn, then the average emf induced in the coil is​
  • a)
    0.75V
  • b)
    7.5V
  • c)
    0.0075V
  • d)
    0.075V
Correct answer is option 'D'. Can you explain this answer?

Shalini Basu answered
Given:
Number of turns, N = 100
Time taken, t = 0.04 sec
Initial flux per turn, Φ1 = 40 x 10^-6 Wb
Final flux per turn, Φ2 = 10^-5 Wb

To find: Average emf induced in the coil

Formula used:
The average emf induced in a coil is given by
E = ΔΦ/Δt
where ΔΦ is the change in magnetic flux and Δt is the time taken for the change.

Calculation:
Change in magnetic flux, ΔΦ = Φ2 - Φ1
= (10^-5 - 40 x 10^-6) Wb
= 6 x 10^-6 Wb

Time taken for the change, Δt = t/N
= 0.04/100 sec
= 4 x 10^-4 sec

Average emf induced in the coil, E = ΔΦ/Δt
= (6 x 10^-6)/(4 x 10^-4) V
= 0.075 V

Therefore, the average emf induced in the coil is 0.075 V, which is option D.

The magnetic flux linked with a coil is changed from 1 Wb to 0.1 Wb in 0.1 second. The induced emf is​
  • a)
    0.9V
  • b)
    0.09V
  • c)
    9.0V
  • d)
    0.009V
Correct answer is option 'C'. Can you explain this answer?

Nikita Singh answered
Change n in magnetic flux Δϕ=0.1−1=−0.9 Weber
Time taken  Δt=0.1 sec
So, emf induced in the coil  E=− Δϕ​/Δt
⟹ E=− (−0.9)​/ 0.1=9 Volts
Hence option C is the correct answer.

In Faraday’s experiment if the magnet is moved towards the coil, it results in ____________ in magnetic field B at any point on the wire loop. The _________ shows deflection. Thus emf is induced by changing B.
  • a)
    Decrease, galvanometer
  • b)
    Increase, ammeter
  • c)
    Increase, galvanometer
  • d)
    Decrease, ammeter
Correct answer is option 'C'. Can you explain this answer?

Imk Pathsala answered
Initailly the loop taken have no current or no magnetic field associated with it when the magnet moved towards the loop the galvanometer show deflection showing the presence of current and current moving in loop also has magnetic field around it
 

electromagnetic induction i.e currents can be induced in coils (Select the best)
  • a)
    Only if the coil moves
  • b)
    Only if the coil moves and magnet also moves in the same direction
  • c)
    if relative motion of coil and magnet is present.
  • d)
    Only if the magnet moves
Correct answer is option 'C'. Can you explain this answer?

Consider a cylindrical copper coil connected serially to a galvanometer . a strong magnet with north or south pole is taken towards it. and coil is moved up and down.
when ever there is a relative motion between coil and the magnet the galvanometer shows deflection . indicating flow of induced current.
the deflection is momentary . it last so long as there is relative motion between coil and magnet.
the direction of induced current changes if magnet or coil is moved towards or away frm it
the deflection is more when the relative motion is faster or less when it is slow.
t

A bar magnet is moved along the axis of copper ring placed far away from the magnet. Looking from the side of the magnet, an anticlockwise current is found to be induced in the ring. Which of the following may be true?
  • a)
    The south pole faces the ring and the magnet moves towards it.
  • b)
    The north pole faces the ring and the magnet moves towards it.
  • c)
    The south pole faces the ring and the magnet moves away from it.
  • d)
    The north pole faces the ring and the magnet moves away from it.
Correct answer is option 'B,C'. Can you explain this answer?

When magnet is moving towards the ring, as the current flows in anti-clockwise direction when seen from magnet, a magnetic field directed towards the magnet from the ring is observed.
By Lenz's law this field is to oppose the movement of the magnet towards the ring.
Therefore the N-pole should be facing the ring, as only then will the induced field by the ring will oppose the movement of the approaching magnet.
Therefore, the north pole faces the ring and the magnet moves towards it  and the  south pole faces the ring and the magnet moves away from it.

Two similar circular co-axial loops carry equal current in the same direction. If the loops be brought nearer, the currents in them will
  • a)
    Change direction
  • b)
    Decrease
  • c)
    Increase
  • d)
    Remain same
Correct answer is option 'B'. Can you explain this answer?

Rohit Shah answered
The answer is B. Its Faraday's law of magnetic induction. As the loops are brought closer to each other, the magnetic field from one loop to another increases, increasing the flux. The loops will want to counter this increase in flux, creating a back EMF that will oppose the original current. This reduces the current in each loop.

The total number of magnetic lines of force crossing a surface normally is termed as
  • a)
    Magnetic field.
  • b)
    Magnetic permeability.
  • c)
    Magnetic flux.
  • d)
    Magnetic susceptibility.
Correct answer is option 'C'. Can you explain this answer?

The measurement of the total magnetic field that passes through a given area is known as magnetic flux. It is helpful in describing the effects of the magnetic force on something occupying a given area.
If we consider a simple flat area A as our example and angle θ as the angle between the normal to the surface and a magnetic field vector, then the magnetic flux is given by the equation:
ϕ=BAcosΘ
 

A magnet is moved towards the coil (i) quickly, (ii) slowly, the induced emf is​
  • a)
    more in (i) than in (ii) case.
  • b)
    Smaller in (i) than in (ii) case.
  • c)
    Same in both.
  • d)
    Nothing can be said.
Correct answer is option 'A'. Can you explain this answer?

Rajesh Gupta answered
When a magnet is moved towards the coil quickly, the rate of change of flux is larger than that if the magnetic field is moved slowly, thus larger emf is induced due to quick movement of the coil.

Foucault Currents are also called
a)Both eddy and induced current
b)Direct Currents
c)Induced Current
d)Eddy Currents
Correct answer is option 'D'. Can you explain this answer?

Nandini Patel answered
Eddy currents are the currents which are induced in a conductor whenever the amount of linked magnetic flux with the conductor changes. These were discovered by Foucault in the year 1895 and hence they are also called Foucault currents.

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