Electrostatic Shielding of a Charged Object?
A small charged object of 10 cm radius is placed inside a hollow metal sphere of 20 cm radius. What happens to the electric field and potential outside the sphere when the object is brought near the center of the sphere, and how does it affect the capacitance of the sphere?
1 Answer
📌 CONCEPT: The electrostatic shielding of a charged object occurs when a conductor, such as a hollow metal sphere, is placed around it, effectively shielding the external electric field and potential.
📐 RULE / FORMULA: The electric field and potential outside the conductor are zero, and the capacitance of the conductor is not affected by the presence of the charged object.
💡 WORKED EXAMPLE: Consider a small charged object of 10 cm radius placed inside a hollow metal sphere of 20 cm radius. When the object is brought near the center of the sphere, the electric field and potential outside the sphere remain zero, and the capacitance of the sphere remains unchanged.
⚠️ COMMON MISTAKE: Students often assume that the capacitance of the sphere will increase when the charged object is brought near the center, but in reality, the capacitance remains the same due to the shielding effect of the conductor.
06 Nov 26
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