The volume charge density for the sphere is 1.25 x 10-7 C/m3.
This value is calculated by dividing the total charge of the sphere by its volume. Here’s a breakdown:
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Total Charge (Q): 6.68 x 10-9 C
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Radius (R): 4.00 cm (or 0.04 m when converted to meters)
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Volume of Sphere (V): Calculated using the formula V = (4/3)πR3
- V = (4/3) π (0.04 m)3
- V ≈ 2.68 x 10-4 m3
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Volume Charge Density (ρ): Calculated by ρ = Q/V
- ρ = (6.68 x 10-9 C) / (2.68 x 10-4 m3)
- ρ ≈ 1.25 x 10-7 C/m3
Therefore, the volume charge density, which is a measure of how much charge is packed into each unit volume, is approximately 1.25 x 10-7 Coulombs per cubic meter for this specific sphere.
