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All questions of Electromagnetic Induction for NEET Exam

In the arrangement shown in given figure current from A to B is increasing in magnitude. Induced current in the loop will
  • a)
    have clockwise direction
  • b)
    have anticlockwise direction
  • c)
    be zero
  • d)
    oscillate between clockwise and anticlockwise
Correct answer is option 'A'. Can you explain this answer?

New Words answered
The direction of the induced current is as shown in the figure, according to Lenz’s law which states that the indeed current flows always in such a direction as to oppose the change which is giving rise to it.

A conducting square loop of side I and resistance R moves in its plane with a uniform velocity v perpendicular to one of its sides. A uniform and constant magnetic field B exists along the perpendicular to the plane of the loop in fig. The current induced in the loop is
  • a)
    RvB
  • b)
    zero
  • c)
    vBL/R 
  • d)
    vBL
Correct answer is option 'B'. Can you explain this answer?

Sivappriya answered
As the coil is neither moving inside the magnetic flux nor moving outside the magnetic flux the change is magnetic fulx is zero . therefore emf is zero hencecurrent induced in the coil is zero the thing is the coil moves in region of constant and uniform magnetic field ,so as said above current induced is zero option 2 is correct.

Two infinitely long conducting parallel rails are connected through a capacitor C as shown in the figure. A conductor of length l is moved with constant speed v0. Which of the following graph truly depicts the variation of current through the conductor with time ?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

Anaya Patel answered
By Faraday's Law of induction,
ε=− dϕ​/dt
=−Bl (dx/dt) ​=−Blv0​
This emf should induce the movement of charges creating a current. But due to the attached capacitor, all charges are conserved.
Thus I= dq/dt ​=0
The correct option is C.

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.

Two identical conductors P and Q are placed on two frictionless fixed conducting rails R and S in a uniform magnetic field directed into the plane. If P is moved in the direction shown in figure with a constant speed, then rod Q
  • a)
    will be attracted towards P
  • b)
    will be repelled away from P
  • c)
    will remain stationary
  • d)
    may be repelled or attracted towards P
Correct answer is option 'A'. Can you explain this answer?

Neha Sharma answered
As the conductor P moves away from Q, the area of the loop enclosed by the conductors and the rails increases. This in turn increases the flux through the loop.
EMF will be induced in such a way that the change in flux will be resisted. The induced current will cause Q to move towards P thereby reducing the area and thus the flux back.
 

A small conducting rod of length l, moves with a uniform velocity v in a uniform magnetic field B as shown in fig-
  • a)
    Then the end X of the rod becomes positively charged
  • b)
    the end Y of the rod becomes positively charged
  • c)
    the entire rod is unevely charged
  • d)
    the rod becomes hot due to joule heating
Correct answer is option 'B'. Can you explain this answer?

Dr Manju Sen answered
The rod is moving towards the right in a field directed into the page.
Now, if we apply Fleming's right hand rule, then the direction of induced current will be from end X to end Y.
But, according to Lenz's law the emf induced in the rod will be such that it opposes the motion of the rod.
Hence, the actual emf induced will be from end Y to end X. So, the current will also flow from end Y to end X.
Now, using the convention of current end Y should be positive and end X should be negative.
So, correct answer is option b

An air-cored solenoid with length 30 cm, area of cross-section 25 cm2 and number of turns 500, carries a current of 2.5 A. The current is suddenly switched off in a brief time of 10−3s. Average back emf induced across the ends of the open switch in the circuit is
  • a)
    6.5 V .
  • b)
    4.6 V
  • c)
    4.5 V
  • d)
    5 V3.
Correct answer is option 'A'. Can you explain this answer?

Arka Das answered
-4 seconds. Find the average induced emf in the solenoid during this time.

We can use Faraday's law of induction to find the average induced emf in the solenoid:

emf = -N (ΔΦ/Δt)

where N is the number of turns, ΔΦ is the change in magnetic flux, and Δt is the time interval.

Since the current is suddenly switched off, the magnetic flux through the solenoid changes from its maximum value to zero. The maximum value of magnetic flux through the solenoid is given by:

Φ = B A

where B is the magnetic field strength and A is the area of cross-section. Since the solenoid is air-cored, the magnetic field is given by:

B = μ0 N I / L

where μ0 is the permeability of free space, I is the current, and L is the length of the solenoid. Substituting the given values, we get:

B = (4π × 10^-7) × 500 × 2.5 / 0.3 = 1.05 T

Therefore, the maximum magnetic flux through the solenoid is:

Φ = 1.05 × 25 × 10^-4 = 2.625 × 10^-5 Wb

During the brief time of 10^-4 seconds, the change in magnetic flux is equal to the maximum flux, since the current is switched off suddenly. Therefore, ΔΦ = 2.625 × 10^-5 Wb.

Substituting the given values in the formula for emf, we get:

emf = -500 (2.625 × 10^-5) / (10^-4) = -1.3125 V

Therefore, the average induced emf in the solenoid during the brief time of 10^-4 seconds is 1.3125 V. Note that the negative sign indicates that the induced emf opposes the change in current.

The dimensions of permeability of free space can be given by
  • a)
    [MLT-2A-2]
  • b)
    [MLA-2]
  • c)
    [ML-3T2A2]
  • d)
    [MLA-1]
Correct answer is option 'A'. Can you explain this answer?

Lavanya Menon answered
In SI units, permeability is measured in Henries per meter H/m or Hm−1.
Henry has the dimensions of [ML2T−2A−2].
Dimensions for magnetic permeability will be [ML2T−2A−2]/[L]=[MLT−2A−2]

Consider the situation shown in fig. The resistanceless wire AB is slid on the fixed rails with a constant velocity. If the wire AB is replaced by a resistanceless semicircular wire, the magnitude of the induced current will
  • a)
    increase
  • b)
    remain the same
  • c)
    decrease
  • d)
    increase or decrease depending on whether the semicircle bulges towards the resistance or away from it
Correct answer is option 'B'. Can you explain this answer?

Om Rana answered
As we know I = B L V. But L would be a vector quantity here(If you have doubt why L would be vector quantity, see the derivation of induced current). So we have to take L effective. But L effective here will be diameter of the semicircle as it is perpendicular to both B and V vectors. As the diameter of the circle is same as the length of the wire we used first So there will be no change in the equation of induced current. So it remains same.

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.

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

The north pole of a magnet is brought near a coil. The induced current in the coil as seen by an observer on the side of magnet will be
  • a)
    in the clockwise direction
  • b)
    in the anticlockwise direction
  • c)
    initially in the clockwise and then anticlockwise direction
  • d)
    initially in the anticlockwise and then clockwise direction
Correct answer is option 'B'. Can you explain this answer?

Geetika Shah answered
The direction of the current will be anticlockwise.
 
According to Lenz's law, the current in the coil will be induced in the direction that'll oppose the external magnetic field .
As the flux due to the external magnet is increasing ( as the N-pole is brought close ) , the coil will have to induce current in the anticlockwise direction to oppose this increase in flux and not in clockwise direction as that'll end up supporting the external flux.

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
 

Two identical coaxial circular loops carry a current i each circulating in the same direction. If the loops approach each other
  • a)
    the current in each will decrease
  • b)
    the current in each will increase
  • c)
    the current in each will remain the same
  • d)
    the current in one will increase and in other will decrease
Correct answer is option 'A'. Can you explain this answer?

Tejas Desai answered
Ans.

Option (a)

As coils approach each other, the flux linked with each coil increases. A current will be induced in each coil which will try to decrease the flux. This implies induced current in each coil will be opposite to initial current. So, current in each coil decreases as the coils approach each other.

Eddy Currents are
  • a)
    plasma currents
  • b)
    induced solar currents that circulate throughout a river and are swirling .
  • c)
    gaseous currents
  • d)
    induced currents that circulate throughout the volume of a material similar to swirling eddies in a river.
Correct answer is option 'D'. Can you explain this answer?

Raghav Yadav answered
Explanation:Eddy currents  (also called Foucault currents) are loops of electrical current induced within conductors by a changing magnetic field in the conductor, due to Faraday's law of induction. Eddy currents flow in closed loops within conductors, in planes perpendicular to the magnetic field. By lenz's law an eddy current creates a magnetic field that opposes a change in the magnetic field that created it, and thus eddy currents react back on the source of the magnetic field.

An AC generator consists of
  • a)
    A coil that can rotate in a permanent magnetic field and is provided with slip rings.
  • b)
    A permanent magnet rotor and a stationary coil.
  • c)
    Two stationary coils close to each other
  • d)
    A stationary coil for emf and a movable coil fed with AC
Correct answer is option 'A'. Can you explain this answer?

Explanation:AC generators  operate on the same fundamental principles of electromagnetic induction.The turning of a coil in a magnetic field produces motional emfs in both sides of the coil.A slip ring  is a method of making an electrical connection through a rotating assembly. Formally, it is an electric transmission device that allows energy flow between two electrical rotating parts, such as in a motor.

The magnetic field between the Horizontal poles of an electromagnet is uniform at any time, but its magnitude is increasing at the rate of 0.020T/s.The area of a horizontal conducting loop in the magnetic field is 120cm2, and the total circuit resistance, including the meter, is 5Ω. Induced emf and the induced current in the circuit are
  • a)
    0.18 mV,0.048 mA
  • b)
    0.22 mV,0.048 mA
  • c)
    0.20 mV,0.048 mA
  • d)
    0.24 mV,0.048 mA
Correct answer is option 'D'. Can you explain this answer?

Anand Saha answered
Magnetic Field
- The magnetic field between the horizontal poles of an electromagnet is uniform at any time.
- The magnitude of the magnetic field is increasing at a rate of 0.020 T/s.

Conducting Loop
- The area of the horizontal conducting loop in the magnetic field is 120 cm^2.
- The total circuit resistance, including the meter, is 5 Ω.

Induced EMF
- The induced EMF can be calculated using Faraday's law of electromagnetic induction.
- Faraday's law states that the induced EMF is equal to the rate of change of magnetic flux through the loop.
- The magnetic flux through the loop can be calculated by multiplying the magnetic field strength by the area of the loop.
- The rate of change of magnetic flux is equal to the rate of change of the magnetic field strength multiplied by the area of the loop.
- Substituting the given values, the rate of change of magnetic flux is (0.020 T/s) * (120 cm^2) = 2.4 T cm^2/s.
- To convert the magnetic flux to Weber (Wb), divide by 10,000: 2.4 T cm^2/s / 10,000 = 0.00024 Wb/s.
- Therefore, the induced EMF is 0.00024 V/s or 0.24 mV/s.

Induced Current
- The induced current can be calculated using Ohm's law, which states that the current is equal to the voltage divided by the resistance.
- Substituting the given values, the induced current is (0.24 mV/s) / (5 Ω) = 0.048 mA.

Conclusion
- The induced EMF in the circuit is 0.24 mV and the induced current is 0.048 mA.
- Therefore, the correct answer is option 'D', 0.24 mV, 0.048 mA.

A metal sheet is placed in a variable magnetic field which is increasing from zero to maximum. Induced current flows in the directions as shown in figure. The direction of magnetic field will be -
  • a)
    normal to the paper, inwards
  • b)
    normal to the paper, outwards.
  • c)
    from east to west
  • d)
    from north to south
Correct answer is option 'B'. Can you explain this answer?

Nandini Iyer answered
The direction of these circular magnetic lines is dependent upon the direction of current. The density of the induced magnetic field is directly proportional to the magnitude of the current. Direction of the circular magnetic field lines can be given by Maxwell's right hand grip rule or Right handed cork screw rule.

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