Physics · Moving Charges and Magnetic Field

JEE Main 2024 — 5 April, Shift 2 — Question 38

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

  1. Option A:

    F→1=qV→⋅E→,F→2=q(B→⋅V→)\overrightarrow{\mathrm{F}}_{1}=\mathrm{q} \overrightarrow{\mathrm{V}} \cdot \overrightarrow{\mathrm{E}}, \overrightarrow{\mathrm{F}}_{2}=\mathrm{q}(\overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{V}})

  2. Option B:

    F→1=qB→,F→2=q(B→×V→)\overrightarrow{\mathrm{F}}_{1}=\mathrm{q} \overrightarrow{\mathrm{B}}, \overrightarrow{\mathrm{F}}_{2}=\mathrm{q}(\overrightarrow{\mathrm{B}} \times \overrightarrow{\mathrm{V}})

  3. Option C:

    F⃗1=qE→,F→2=q(V→×B→)\vec{F}_{1}=\mathrm{q} \overrightarrow{\mathrm{E}}, \overrightarrow{\mathrm{F}}_{2}=\mathrm{q}(\overrightarrow{\mathrm{V}} \times \overrightarrow{\mathrm{B}})

    Correct
  4. Option D:

    F→1=qE→,F→2=q(B→×V→)\overrightarrow{\mathrm{F}}_{1}=\mathrm{q} \overrightarrow{\mathrm{E}}, \overrightarrow{\mathrm{F}}_{2}=\mathrm{q}(\overrightarrow{\mathrm{B}} \times \overrightarrow{\mathrm{V}})

Answer: C

Step-by-step solution

F→1=qE→\quad \overrightarrow{\mathrm{F}}_{1}=\mathrm{q} \overrightarrow{\mathrm{E}} \quad (Theory)

F→2=q(V→×B→)\overrightarrow{\mathrm{F}}_{2}=\mathrm{q}(\overrightarrow{\mathrm{V}} \times \overrightarrow{\mathrm{B}})

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Subject
Physics
Chapter
Moving Charges and Magnetic Field
Topic
Motion of Charged Particles in Combined Electric and Magnetic Fields
The electrostatic force (overrightarrow F 1 ) and magnetic force… | JEE Main 2024 PYQ with Solution · DhiX AI