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Electromagnetic Induction Physics - Electromagnetic Induction

UP Board (UPMSP) - STD 11 Science - Physics (UPMSP - English Medium). 132 questions in this chapter.

Question types

Electromagnetic Induction question types

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

132
Questions
6
Question groups
5
Question types
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.

Q 1M.C.Q (1 Marks)1 Mark
A rod $AB$ moves with a uniform velocity $v$ in a uniform magnetic field as shown in figure.
  • A
    The rod becomes electrically charged.
  • ✓
    The end $A$ becomes positively charged.
  • C
    The end $B$ becomes positively charged.
  • D
    The rod becomes hot because of Joule heating.

Answer: B.

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Q 2M.C.Q (1 Marks)1 Mark
Consider the situation shown in figure. If the switch is closed and after some time it is opened again, the closed loop will show:
  • A
    An anticlockwise current-pulse.
  • B
    A clockwise current-pulse.
  • C
    An anticlockwise current-pulse and then a clockwise current-pulse.
  • ✓
    A clockwise current-pulse and then an anticlockwise current-pulse.

Answer: D.

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Q 3M.C.Q (1 Marks)1 Mark
Consider the following statements:
  1. An $\text{emf}$ can be induced by moving a conductor in a magnetic field.
  2. An $\text{emf}$ can be induced by changing the magnetic field.
  • ✓
    Both $A$ and $B$ are true.
  • B
    $A$ is true but $B$ is false.
  • C
    $B$ is true but $A$ is false.
  • D
    Both $A$ and $B$ are false.

Answer: A.

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Q 4M.C.Q (1 Marks)1 Mark
A conducting loop is placed in a uniform magnetic field with its plane perpendicular to the field. An $\text{emf}$ 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.
  • A
    only $A$
  • B
    $A$ and $B$
  • ✓
    $C$ and $D$
  • D
    None of these

Answer: C.

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Q 5M.C.Q (1 Marks)1 Mark
The switches in figure are closed at $t = 0$ and reopened after a long time at $t = t_0$:
  • A
    The charge on $C$ just after $t = 0$ is $\in\text{C}.$
  • B
    The charge on $C$ long after $t = 0$ is $\in\text{C}.$
  • ✓
    Both $A$ and $B$
  • D
    The current in $L$ long after $t = t_0$ is $\frac{\in}{\text{R}}.$

Answer: C.

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Q 61 Marks Question1 Mark
Two circular loops are placed with their centres separated by a fixed distance. How would you orient the loops to have:
  1. The largest mutual inductance.
  2. The smallest mutual inductance?
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Q 81 Marks Question1 Mark
A metallic metre stick moves with a velocity of $2 \mathrm{~m} / \mathrm{s}^{-1}$ 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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Q 91 Marks Question1 Mark
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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Q 112 Marks Questions2 Marks
Figure shows a conducting square loop placed parallel to the pole faces of a ring magnet. The Pole-faces have an area of $1cm^2$ 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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Q 122 Marks Questions2 Marks
Figure shows a circular wheel of radius 10.0cm 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 142 Marks Questions2 Marks
Calculate the dimensions of:
  1. $\int\vec{\text{E}}.\vec{\text{dl}}.$
  2. $\text{vBl}$
  3. $\frac{\text{d}\psi_{\text{B}}}{\text{dt}}$
The symbols have their usual meanings.
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Q 152 Marks Questions2 Marks
Figure shows a wire sliding on two parallel, conducting rails placed at a separation l. A magnetic field B exists in a direction perpendicular to the plane of the rails. What force is necessary to keep the wire moving at a constant velocity v?
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Q 163 Marks Question3 Marks
Consider a variation of the previous problem (figure). Suppose the circular loop lies in a vertical plane. The rod has a mass m. The rod and the loop have negligible resistances but the wire connecting O and C has a resistance R. The rod is made to rotate with a uniform angular velocity $\omega$ in the clockwise direction by applying a force at the midpoint of OA in a direction perpendicular to it. Find the magnitude of this force when the rod makes an angle $\theta$ with the vertical.
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Q 173 Marks Question3 Marks
The current generator $I_g$ shown in figure, sends a constant current i through the circuit. The wire cd is fixed and ab is made to slide on the smooth, thick rails with a constant velocity v towards right. Each of these wires has resistance r. Find the current through the wire cd.
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Q 183 Marks Question3 Marks
A circular coil of one turn of radius $5.0\ cm$ 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 193 Marks Question3 Marks
Figure shows a smooth pair of thick metallic rails connected across a battery of $\text{emf} \in$ 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 203 Marks Question3 Marks
Figure shows a conducting disc rotating about its axis in a perpendicular magnetic field B. A resistor of resistance R is connected between the centre and the rim. Calculate the current in the resistor. Does it enter the disc or leave it at the centre? The radius of the disc is 5.0cm, angular speed $\omega=10 \ \text{rad/s}, \ \text{B}=0.40\text{T}$ and $\text{R}=10\Omega.$
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Q 215 Marks Questions5 Marks
The current in a discharging LR circuit without the battery drops from 2.0A to 1.0A in 0.10s.
  1. Find the time constant of the circuit.
  2. If the inductance of the circuit is 4.0H, what is its resistance?
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Q 225 Marks Questions5 Marks
Figure shows a situation similar to the previous problem. All parameters are the same except that a battery of emf $\in$ and a variable resistance R are connected between O and C. The connecting wires have zero resistance. No external force is applied on the rod (except gravity, forces by the magnetic field and by the pivot). In what way should the resistance R be changed so that the rod may rotate with uniform angular velocity in the clockwise direction? Express your answer in terms of the given quantities and the angle $\theta$ made by the rod OA with the horizontal.
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Q 245 Marks Questions5 Marks
A wire of length $10cm$ translates in a direction making an angle of $60°$ 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 $20cm/s^{-1}$.
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Q 255 Marks Questions5 Marks
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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