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Magnetic Field due to a Current Physics - Magnetic Field due to a Current

Rajasthan Board (RBSE) - STD 12 Science - Physics (Rajasthan - English Medium). 85 questions in this chapter.

Question types

Magnetic Field due to a Current question types

85 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

85
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5
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5
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Sample Questions

Magnetic Field due to a Current 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
Two parallel, long wires carry currents $i_1$ and $i_2$ with $i_1 > i_2$. When the currents are in the same direction, the magnetic field at a point midway between the wires is $10 \mu\text{T}.$ If the direction of $i_2$ is reversed, the field becomes $30 \mu\text{T}.$ The ratio $\frac{\text{i}_1}{\text{i}_2}$ is:
  • A
    $4$
  • B
    $3$
  • ✓
    $2$
  • D
    $1$

Answer: C.

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Q 3M.C.Q (1 Marks)1 Mark
Two particles $X$ and $Y$ having equal charge, after being accelerated through the same potential difference enter a region of uniform magnetic field and describe circular paths of radii $R_1$ and $R_2$ respectively. The ratio of the mass of $X$ to that of $Y$ is:
  • A
    $\Big(\frac{\text{R}_1}{\text{R}_2}\Big)^{\frac{1}{2}}$
  • B
    $\frac{\text{R}_1}{\text{R}_2}$
  • ✓
    $\Big(\frac{\text{R}_1}{\text{R}_2}\Big)^2$
  • D
    $\text{R}_1\text{R}_2.$

Answer: C.

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Q 4M.C.Q (1 Marks)1 Mark
A vertical wire carries a current in upward direction. An electron beam sent horizontally towards the wire will be deflected:
  • A
    Towards right.
  • B
    Towards left.
  • ✓
    Upwards.
  • D
    Downwards.

Answer: C.

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Q 5M.C.Q (1 Marks)1 Mark
A circular loop is kept in that vertical plane which contains the north-south direction. It carries a current that is towards north at the topmost point. Let A be a point on the axis of the circle to the east of it and B a point on this axis to the west of it. The magnetic field due to the loop
  • A
    Is towards east at A and towards west at B.
  • B
    Is towards west at A and towards east at B.
  • C
    Is towards east at both A and B.
  • ✓
    Is towards west at both A and B.

Answer: D.

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Q 61 Marks Question1 Mark
A circular loop of radius 4.0cm is placed in a horizontal plane and carries an electric current of 5.0A in the clockwise direction as seen from above. Find the magnetic field:
  1. At a point 3.0cm above the centre of the loop.
  2. At a point 3.0cm below the centre of the loop.
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Q 71 Marks Question1 Mark
Two proton beams going in the same direction repel each other whereas two wires carrying currents in the same direction attract each other. Explain.
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Q 81 Marks Question1 Mark
A long solenoid is fabricated by closely winding a wire of radius 0.5mm over a cylindrical nonmagnetic frame so that the successive turns nearly touch each other. What would be the magnetic field B at the centre of the solenoid if it carries a current of 5A?
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Q 91 Marks Question1 Mark
Consider the situation described in the previous problem. Suppose the current i enters the loop at the point A and leaves it at the point B. Find the magnetic field at the centre of the loop.
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Q 112 Marks Questions2 Marks
A current of 10A is established in a long wire along the positive z-axis. Find the magnetic field $\overrightarrow{\text{B}}$ at the point (1m, 0, 0).
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Q 122 Marks Questions2 Marks
You are facing a circular wire carrying an electric current. The current is clockwise as seen by you. Is the field at the centre coming towards you or going away from you?
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Q 132 Marks Questions2 Marks
In order to have a current in a long wire, it should be connected to a battery or some such device. Can we obtain the magnetic due to a straight, long wire by using Ampere's law without mentioning this other part of the circuit?
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Q 142 Marks Questions2 Marks
A conducting circular loop of radius a is connected to two Iong, straight wires. The straight wires carry current I as shown in figure. Find the magnetic field B at the centre of the loop.
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Q 153 Marks Question3 Marks
A straight, long wire carries a current of 20A. Another wire carrying equal current is placed parallel to it. If the. force acting on a length of 10cm of the second wire is $2 \times 10^{-5}N$, what is the separation between them?
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Q 163 Marks Question3 Marks
Consider the situation of the previous problem. A particle having charge q and mass m is projected from the point Q in a direction going into the plane of the diagram. It is found to describe a circle of radius r between the two plates. Find the speed of the charged particle.
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Q 173 Marks Question3 Marks
A piece of wire carrying a current of 6.00A is bent in the form of a circular arc of radius 10.0cm, and it subtends an angle of 120° at the centre. Find the magnetic field B due to this piece of wire at the centre.
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Q 183 Marks Question3 Marks
A long, cylindrical tube of inner and outer radii a and b carries a current i distributed uniformly over its cross section. Find the magnitude of the magnetic field at a point (a) just inside the tube (b) just outside the tube.
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Q 193 Marks Question3 Marks
A straight wire carrying an electric current is placed along the axis of a uniformly charged ring. Will there be a magnetic force on the wire if the ring starts rotating about the wire? If yes, in which direction?
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Q 205 Marks Questions5 Marks
Consider a straight piece of length x of a wire carrying a current i. Let P be a point on the perpendicular bisector of the piece, situated at a distance d from its middle point. Show that for d >> x, the magnetic field at P varies as $\frac{1}{\text{d}^2}$ whereas ford d << x, it varies as $\frac{1}{\text{d}}.$
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Q 215 Marks Questions5 Marks
If the outer coil of the previous problem is rotated through 90° about a diameter, what would be the magnitude of the magnetic field B at the centre?
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Q 225 Marks Questions5 Marks
A tightly-wound solenoid of radius a and length l has n turns per unit length. It carries an electric current i. Consider a length dx of the solenoid at a distance x from one end. This contains n(dx) turns and may be approximated as a circular current in (dx).
  1. Write the magnetic field at the centre of the solenoid due to this circular current. Integrate this expression under proper limits to find the magnetic field at the centre of the solenoid.
  2. Verify that if a >> l, the field tends to $\text{B}=\frac{\mu_0\text{nil}}{2\text{a}}.$ Interpret these results.
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Q 235 Marks Questions5 Marks
Two long, straight wires, each carrying a current of 5A, are placed along the X and Y-axes respectively. The currents point along the positive directions of the axes. Find the magnetic fields at the points (a) (1m, 1m), (b) (-1m, 1m), (c) (-1m,-1m) and (d) (1m, -1m),
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Q 245 Marks Questions5 Marks
Sometimes we show an idealised magnetic field which is uniform in a given region and falls to zero abruptly. One such field is represented in figure. Using Ampere's law over the path PQRS, show that such a field is not possible.
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