Magnetic effect of current questions with solutions

Showing 1–10 of 415 questions

• MCQmediumMagnetic effect of current

  Two parallel wires carry equal currents of 10 A along the same direction and are separated by a distance of 2.0 cm. Find the magnetic field at a point which is 2.0 cm away from each of these wires.

  Options

  • Option A

    3.4 × 10⁻⁴ T in a direction parallel to the plane of the wires and perpendicular to the wires

  • Option B

    1.7 × 10⁻⁴ T in a direction parallel to the plane of the wires and parallel to the wires

  • Option C

    1.7 × 10⁻⁴ T in a direction parallel to the plane of the wires and perpendicular to the wires

  • Option D

    3.4 × 10⁻⁴ T in a direction parallel to the plane of the wires and parallel to the wires

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• Multi-correctmediumMagnetic effect of current

  A square loop carrying current I lies in the xy-plane in a non-uniform magnetic field B⃗=(B₀z/L)ĵ+(B₀y/L)k̂, where B₀>0. Which statements are correct?

  

  Select all that apply

  • Option A

    Force on side (0,0)→(0,L) is (B₀IL/2)î

  • Option B

    Force on side (0,L)→(L,L) is -B₀IL ĵ

  • Option C

    Net magnetic force on the loop is zero

  • Option D

    Force on side (L,0)→(0,0) is zero

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• MCQmediumMagnetic effect of currentmotion of charge particle in magnetic field

  A charged particle moves undeflected through mutually perpendicular fields E and B. Which vector condition is required?

  Options

  • Option A

    E+v×B=0

  • Option B

    E-v×B=0

  • Option C

    E·B=0 only

  • Option D

    v is parallel to B

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• MCQmediumMagnetic effect of currentmagnetic moment and torque on current carring loop in magnetic field

  The number of turns of the coil of a moving coil galvanometer is increased in order to increase current sensitivity by 50%. The percentage change in voltage sensitivity of the galvanometer will be:

  Options

  • Option A

    100%

  • Option B

    50%

  • Option C

    75%

  • Option D

    0%

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• NumericmediumMagnetic effect of current

  Six perpendicular wires carry currents I₁=1 A, I₂=2 A, I₃=3 A, I₄=1 A, I₅=5 A and I₆=4 A as shown. If ∮B⃗·dℓ⃗=αμ₀/2, find α.

  

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• Multi-correctmediumMagnetic effect of currentMagnetic Force on Current carrying conductor

  An arbitrary current-carrying wire joins fixed endpoints A and B in a uniform magnetic field. Which statements are correct?

  Select all that apply

  • Option A

    Its net force is I L×B, where L points from A to B.

  • Option B

    The detailed path does not affect the net force.

  • Option C

    Changing the path while keeping endpoints fixed leaves the net force unchanged.

  • Option D

    The same endpoint rule is generally valid in a non-uniform magnetic field.

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• MCQmediumMagnetic effect of current

  A particle of mass m and charge q is at distance d from the current sheet of the previous question and is projected directly toward the sheet. What is the maximum speed for which it just avoids hitting the sheet?

  Options

  • Option A

    μ₀qKd/(2m)

  • Option B

    μ₀qKd/m

  • Option C

    μ₀qK/(2md)

  • Option D

    μ₀qK√d/(2m)

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• NumericmediumMagnetic effect of current

  A long cylindrical conductor of radius R has two cylindrical cavities of diameter R as shown and carries uniform current density J. At Q (x=2R), B=(α/68)μ₀JR. Find α.

  

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• NumericmediumMagnetic effect of currentmagnetic moment and torque on current carring loop in magnetic field

  A current loop has magnetic moment 5 A·m² and is placed in a 2 T uniform magnetic field. It is slowly rotated from 60° to 120°. Determine the increase in magnetic potential energy in joule.

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• MCQmediumMagnetic effect of current

  A compass needle points 30° west of north on a horizontal table. In the vertical plane containing this direction, it points 30° below horizontal. If the compass is instead kept in the vertical plane containing the true north-south direction, the needle makes what angle with the horizontal?

  Options

  • Option A

    tan⁻¹(3/2)

  • Option B

    tan⁻¹(2/3)

  • Option C

    tan⁻¹(2)

  • Option D

    tan⁻¹(1/2)

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