A metal sphere has a charge of −6 µC. When 5 × 10¹² electrons are r...

Question

A metal sphere has a charge of −6 µC. When 5 × 10¹² electrons are removed from the sphere, what would be the net charge on it?

Accepted Answer

Given:
• Initial charge on sphere = -6 µC = -6 × 10⁻⁶ C
• Number of electrons removed n = 5 × 10¹²
• Charge of one electron e = 1.6 × 10⁻¹⁹ C

Step 1: Calculate charge change due to electron removal
When electrons are removed, the body becomes more positive.

Magnitude of positive charge added:
|Δq| = n × e
|Δq| = 5 × 10¹² × 1.6 × 10⁻¹⁹
|Δq| = 8 × 10⁻⁷ C
|Δq| = +0.8 µC

Step 2: Calculate net charge
Net charge = Initial charge + Positive charge added
Net charge = (-6 µC) + (+0.8 µC)
Net charge = -5.2 µC

Answer: The net charge on the sphere = -5.2 µC

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