We have a spherical volume with R=1m. Inside a uniform charge density increases with a constant rate of 2 C/(m^3s). The increase is related to a uniform charge density that enters radially through the surface. Use the continuity equation to calculate the current density through the surface. See attached© BrainMass Inc. brainmass.com October 10, 2019, 7:25 am ad1c9bdddf
This solution shows step-by-step calculations to determine the current density using the radially inward charge density flow rate.