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CGP EDU Academic Team
Published on: September 12, 2026
Maximum charge resides on the sharp point of the conductor.
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In electrostatics, it is known that the maximum charge density occurs on sharp points or edges of a conductor. This phenomenon is due to the electric field being stronger at points where the surface curvature is greater, leading to an accumulation of charge.
- Step 1: Consider a conductor in electrostatic equilibrium.
- Step 2: Charge resides on the surface of the conductor, and the electric field inside the conductor is zero.
- Step 3: At sharp points, the radius of curvature is small, leading to high charge density due to the relationship between surface charge density and electric field.
- Step 4: The electric field, given by E = \frac{\sigma}{\epsilon_0} (where \sigma is surface charge density and \epsilon_0 is the permittivity of free space), demonstrates that higher \sigma at sharp points results in a stronger electric field.
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