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Magnetic force vector on a moving charge from q v x B

This type of question, asked 7 times: 27 Jun 2022, 13 Apr 2023, 29 Jan 2024, 31 Jan 2024, 5 Apr 2024, 2 Apr 2026 S1, 2 Apr 2026 S2. All 7 questions below, oldest first.

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  1. Question 1

    27 Jun 2022

    103
    Two long parallel conductors S1S_{1} and S2S_{2} are separated by a distance 10 cm10\text{ }cm and carrying currents of 4 A4\text{ }A and 2 A2\text{ }A respectively. The conductors are placed along XX-axis in X−YX - Y plane. There is a point PP located between the conductors (as shown in figure). A charge particle of 3π3\pi coulomb is passing through the point PP with velocity v→=(2i^+3j^)m/s;\overrightarrow{v}= (2\widehat{i}+ 3\widehat{j})m/s; where i^&j^\widehat{i}\&\widehat{j} represents unit vector along x&yx\& y axis respectively. The force acting on the charge particle is 4π×10−5(−xi^+2j^)N4\pi \times10^{- 5}( - x\widehat{i}+ 2\widehat{j})N. The value of xx is:

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  2. Question 2

    13 Apr 2023

    101
    An electron is moving along the positive xx-axis. If the uniform magnetic field is applied parallel to the negative zz-axis. then (A) The electron will experience magnetic force along positive yy-axis (B) The electron will experience magnetic force along negative yy-axis (C) The electron will not experience any force in magnetic field (D) The electron will continue to move along the positive xx-axis (E) The electron will move along circular path in magnetic field Choose the correct answer from the options given below:

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  3. Question 3

    29 Jan 2024

    114
    A charge of 4.0μC4.0\mu C is moving with a velocity of 4.0×106 ms−14.0 \times10^{6}{\text{ }ms}^{- 1} along the positive y-axis under a magnetic field B→\overrightarrow{B} of strength (2k^)T(2\widehat{k})T. The force acting on the charge is xi^Nx\widehat{i}N. The value of xx is ____

  4. Question 4

    31 Jan 2024

    21
    An electron moves through a uniform magnetic field B→=B0i^+2B0j^ T\overrightarrow{B}=B_{0}\widehat{i}+ 2B_{0}\widehat{j}\text{ }T. At a particular instant of time, the velocity of electron is u→=3i^+5j^ m/s\overrightarrow{u}= 3\widehat{i}+ 5\widehat{j}\text{ }m/s. If the magnetic force acting on electron is F→=5ekN\overrightarrow{F}= 5ekN, where ee is the charge of electron, then the value of B0B_{0} is _____ T.

  5. Question 5

    5 Apr 2024

    98
    The electrostatic force (F→1)\left( {\overrightarrow{F}}_{1} \right) and magnetic force (F→2)\left( {\overrightarrow{F}}_{2} \right) acting on a charge qq moving with velocity vv can be written:

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  6. Question 6

    2 Apr 2026 S1

    23
    1μC1\mu C charge moving with velocity v→=(i^−2j^+3k^)m/s\overrightarrow{v} = (\widehat{i} - 2\widehat{j} + 3\widehat{k})m/s in the region of magnetic field B→=(2i^+3j^−5k^)\overrightarrow{B} = (2\widehat{i} + 3\widehat{j} - 5\widehat{k}) T. The magnitude of force acting on it is α×10−6 N\sqrt{\alpha} \times 10^{- 6}\text{ }N. The value of α\alpha is ____\_\_\_\_ .

  7. Question 7

    2 Apr 2026 S2

    4
    A particle having charge 10−9C10^{- 9}C moving in x−yx-y plane in fields of 0.4j^ N/C0.4\widehat{j}\text{ }N/C and 4×10−3k^ T4 \times10^{- 3}\widehat{k}\text{ }T experiences a force of (4i^+2j^)×10−10 N(4\widehat{i}+ 2\widehat{j}) \times10^{- 10}\text{ }N. The velocity of the particle at that instant is ____\_\_\_\_ m/sm/s.

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