Question

In treating a continuous charge distribution, each infinitesimal volume element \[\Delta v\] carries a charge equal to:

Options

• \[\rho \cdot \Delta v\]

• \[\rho / \Delta v\]

• \[\rho + \Delta v\]

• \[\rho^2 \cdot \Delta v\]

Answer 1

The volume charge density \[\rho\] is charge per unit volume, so the charge contained in an infinitesimal volume element \[\Delta v\] is the product \[\rho \cdot \Delta v\]. This element-wise charge is then used in the integration for potential.