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

Gujarat Board (GSEB) - STD 12 Science - Physics (GSEB - English Medium). 92 questions in this chapter.

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Magnetic Field due to a Current question types

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

92
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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 12 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 22 Marks Questions2 Marks
In Ampere's $\oint\overrightarrow{\text{B}}.\text{d}\overrightarrow{\text{l}}=\mu_0\text{i},$ the current outside the curve is not included on the right hand side. Does it mean that the magnetic field B calculated by using Ampere's law, gives the contribution of only the currents crossing the area bounded by the curve?
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Q 32 Marks Questions2 Marks
A copper wire of diameter 1.6 mm carries 20A. Find the maximum magnitude of the magnetic field $\overrightarrow{\text{B}}$ due to this current.
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Q 42 Marks Questions2 Marks
The magnetic field inside a tightly wound, long solenoid is $\text{B}=\mu_0\text{ni}.$ It suggests that the field does not depend on the total length of the solenoid, and hence if we add more loops at the ends of a solenoid the field should not increase. Explain qualitatively why the extra-added loops do not have a considerable effect on the field inside the solenoid.
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Q 52 Marks Questions2 Marks
Using the formula $\overrightarrow{\text{F}}=\text{q}\overrightarrow{\text{v}}\times\overrightarrow{\text{B}}$ and $\text{B}=\frac{\mu_0\text{i}}{2\pi\text{r}},$ show that the SI units of the magnetic field B and the permeability constant $\mu_0$ may be written as N/A-m and NA2 respectively.
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Q 63 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 73 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 83 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 93 Marks Question3 Marks
Consider a 10cm long piece of a wire which carries a current of 10A. Find the magnitude of the magnetic field due to the piece at a point which makes an equilateral triangle with the ends of the piece.
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Q 103 Marks Question3 Marks
A long cylindrical wire of radius b carries a current i distributed uniformly over its cross-section. Find the magnitude of the magnetic field at a point inside the wire at a distance a from the axis.
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Q 111 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 121 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 131 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 141 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 15M.C.Q (1 Marks)1 Mark
Two parallel, long wires carry currents i1 and i2 with i1 > i2. 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 i2 is reversed, the field becomes $30 \mu\text{T}.$ The ratio $\frac{\text{i}_1}{\text{i}_2}$ is:
  1. 4
  2. 3
  3. 2
  4. 1
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Q 17M.C.Q (1 Marks)1 Mark
A long, straight wire of radius R carries a current distributed uniformly over its cross section. T he magnitude of the magnetic field is:
  1. Maximum at the axis of the wire.
  2. Minimum at the axis of the wire.
  3. Maximum at the surface of the wire.
  4. Minimum at the surface of the wire.
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Q 18M.C.Q (1 Marks)1 Mark
Consider three quantities $\text{x}=\frac{\text{E}}{\text{B}},\ \text{y}=\sqrt{\frac{1}{\mu_0\in_0}}$ and $\text{z}=\frac{1}{\text{CR}}.$ Here, l is the length of a wire, C is a capacitance and R is a resistance. All other symbols have standard meanings.
  1. x, y have the same dimensions.
  2. y, z have the same dimensions.
  3. z, x have the same dimensions.
  4. None of the three pairs have the same dimensions.
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Q 19M.C.Q (1 Marks)1 Mark
In a coaxial, straight cable, the central conductor and the outer conductor carry equal currents in opposite directions. The magnetic field is zero:
  1. Outside the cable.
  2. Inside the inner conductor.
  3. Inside the outer conductor.
  4. In between the tow conductors.
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Q 205 Marks Questions5 Marks
A long, straight wire carrying a current of 30A is placed in an external, uniform magnetic field of 4.0 × 10-4T parallel to the current. Find the magnitude of the resultant magnetic field at a point 2.0cm away from the wire.
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Q 225 Marks Questions5 Marks
A long, straight wire carries a current i. Let B1, be the magnetic field at a point Pat a distance d from the wire. Consider a section of length l of this wire such that the point P lies on a perpendicular bisector of the section. Let B2 be the magnetic field at this point due to this section only. Find the value of $\frac{\text{d}}{\text{l}}$ so that B2 differs from B1, by 1%.
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Q 235 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 245 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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