Question types

Electromagnetic Induction question types

133 questions across 6 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

133
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6
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5
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Sample Questions

Electromagnetic Induction questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

 A rod of length l rotates with a small but uniform angular velocity $\omega$ about its perpendicular bisector. A uniform magnetic field B exists parallel to the axis of rotation. The potential difference between the centre of the rod and an end is:
  1. $\text{zero}$
  2. $\frac{1}{8}\omega\text{Bl}^2$
  3. $\frac{1}{2}\omega\text{Bl}^2$
  4. $\text{B}\omega\text{l}^2$ 
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A rod $AB$ moves with a uniform velocity $v$ in a uniform magnetic field as shown in figure.
  • A
    The rod becomes electrically charged.
  • B
    The end $A$ becomes positively charged.
  • The end $B$ becomes positively charged.
  • D
    The rod becomes hot because of Joule heating.

Answer: C.

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Consider the situation shown in figure. If the switch is closed and after some time it is opened again, the closed loop will show:
  1. An anticlockwise current-pulse.
  2. A clockwise current-pulse.
  3. An anticlockwise current-pulse and then a clockwise current-pulse.
  4. A clockwise current-pulse and then an anticlockwise current-pulse.
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Consider the following statements:
  1. An emf can be induced by moving a conductor in a magnetic field.
  2. An emf can be induced by changing the magnetic field.
  1. Both A and B are true.
  2. A is true but B is false.
  3. B is true but A is false.
  4. Both A and B are false.
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A conducting loop is placed in a uniform magnetic field with its plane perpendicular to the field. An emf is induced in the loop if:
  1. It is translated.
  2. It is rotated about its axis.
  3. It is rotated about a diameter.
  4. It is deformed.
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If the magnetic field outside a copper box is suddenly changed, what happens to the magnetic field inside the box? Such low-resistivity metals are used to form enclosures which shield objects inside them against varying magnetic fields.
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A metallic bob A oscillates through the space between the poles of an electromagnet. The oscillations are more quickly damped when the circuit is on, as compared to the case when the circuit is off. Explain.
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A metallic metre stick moves with a velocity of $2m/s^{-1}$ in a direction perpendicular to its length and perpendicular to a uniform magnetic field of magnitude $0.2 T.$ Find the emf induced between the ends of the stick.
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An inductor-coil carries a steady-state current of 2.0A when connected across an ideal battery of emf 4.0V. If its inductance is 1.0H, find the time constant of the circuit.
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A $10m$ wide spacecraft moves through the interstellar space at a speed $3 \times 10^7m/s^{-1}.$ A magnetic field $B = 3 \times 10^{-10}T$ exists in the space in a direction perpendicular to the plane of motion. Treating the spacecraft as a conductor, calculate the emf induced across its width.
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Figure shows a conducting square loop placed parallel to the pole faces of a ring magnet. The Pole$-$faces have an area of $1\ cm^2 $ each and the field between the poles is $0.10T$. The wires making the loop are all outside the magnetic field. If the magnet is removed in $1.0s$, what is the average emf induced in the loop?
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Figure shows a circular wheel of radius $10.0\ cm$ whose upper half, shown dark in the figure, is made of iron and the lower half of wood. The two junctions are joined by an iron rod. A uniform magnetic field $B$ of magnitude $2.00 \times 10^{-4} T$ exists in the space above the central line as suggested by the figure. The wheel is set into pure rolling on the horizontal surface. If it takes $2.00$ seconds for the iron part to come down and the wooden part to go up, find the average emf induced during this period.
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Q 163 Marks Question3 Marks
A circular coil of one turn of radius 5.0cm is rotated about a diameter w!th a constant angular speed of 80 revolutions per minute. A uniform magnetic field B = 0.010T exists in a direction perpendicular to the axis of rotation. Find
  1. The maximum emf induced.
  2. The average emf induced in the coil over a long period.
  3. The average of the squares of emf induced over a lone period.
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Q 173 Marks Question3 Marks
Figure shows a smooth pair of thick metallic rails connected across a battery of emf $\epsilon$ having a negligible internal resistance. A wire ab of length l and resistance r can slide smoothly on the rails. The entire system lies in a horizontal plane and is immersed in a uniform vertical magnetic field B. At an instant t, the wire is given a small velocity u towards right.
  1. Find the current in it at this instant. What is the direction of the current?
  2. What is the force acting on the wire at this instant?
  3. Show that after some time the wire ab will slide with a constant velocity. Find this velocity.
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Q 183 Marks Question3 Marks
Figure shows a metallic square frame of edge a in a vertical plane. A uniform magnetic field B exists in the space in a direction perpendicular to the plane of the figure. Two boys pull the opposite corners of the square to deform it into a rhombus. They start pulling the corners at t = 0 and displace the corners at a uniform speed u.
  1. Find the induced emf in the frame at the instant when the angles at these corners reduce to 60°.
  2. Find the induced current in the frame at this instant if the total resistance of the frame is R.
  3. Find the total charge which flows through a side of the frame by the time the square is deformed into a straight line.
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Q 193 Marks Question3 Marks
An average emf of 20V is induced in an inductor when the current in it is changed from 2.5A in one direction to the same value in the opposite direction in 0.1s. Find the self-inductance of the inductor.
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Q 203 Marks Question3 Marks
A short magnet is moved along the axis of a conducting loop. Show that the loop repels the magnet if the magnet is approaching the loop and attracts the magnet if it is going away from the loop.
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 An inductor-coil of inductance 20mH having resistance $10\Omega$ is joined to an ideal battery of emf 5.0V. Find the rate of chenge of the induced emf at:
  1. t = 0
  2. t = 10ms
  3. t = 1.0s. 
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A wire of length $10\ cm$ translates in a direction making an angle of $60^\circ$ with its length. The plane of motion is perpendicular to a uniform magnetic field of $1.0T$ that exists in the space. Find the emf induced between the ends of the rod if the speed of translation is $20\ cm/s^{-1}.$
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The magnetic field in a region is given by $\vec{\text{B}}=\vec{\text{k}}\frac{\text{B}_0}{\text{L}}\text{y}$ where L is a fixed length. A conductihg rod of of length lies along the Y-axis between the origin and the point (0, L, 0). If the rod moves with a velocity $\text{v}=\text{v}_0\vec{\text{i}},$ find the emf induced between the ends of the rod.
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A long wire carries a current of 4.00A. Find the energy stored in the magnetic field inside a volume ot 1.00mm at a distance of 10.0cm from the wire.
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A conducting square loop having edges of length 2.0cm is rotated through 180° about a diagonal in 0.20s. A magnetic field B exists in the region which is perpendicular to the loop in its initial position. If the average induced emf during the rotation is 20mV, find the magnitude of the magnetic field.
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