Physics · Electrostatics
A thin metal ring carrying a positive charge and having radius R is fixed in the x-y plane with its center at the origin O. A negatively charged particle is initially placed at rest at a point along the z-axis at coordinates (0, 0, z0), where z0 > 0. The particle is then released. Based on the influence of the electric field due to the charged ring, determine the nature of the motion of the negatively charged particle.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Such that the particle crosses the origin and continues moving along the negative z-axis towards z = -∞.
- 2Approximately simple harmonic provided z0 is much smaller than R.✓
- 3Simple harmonic for all values of z0 such that 0 < z0 ≤ R.
- 4Periodic for all values of z0 such that 0 < z0 < ∞.
Correct answer
Approximately simple harmonic provided z0 is much smaller than R.
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