In the case of a magnetic monopole which I think is what you are asking, an extra term involving the current of magnetic monopoles would need to be added to the right side of Faraday's Law in differential form.
Taking the divergence of both sides would give you zero on both sides correct? So the difference between Faraday’s and Ampere’s law is that Ampere’s law assumes that the currents are steady and so it is not dependent on time. Then because an electric field is generated by a "changing" magnetic...
Homework Statement
Why does the Faraday Law of Induction not suffer from the inconsistency encountered with the Ampere Law?
Homework Equations
\oint E * dl = - (N) d/dt \intB * dA
The Attempt at a Solution
The Ampere Law is inconsistent with the time varying equation of...
Homework Statement
Find an expression for the electrostatic self-energy of an arbitrary spherically symmetric charge density distribution ρ(r). You may not assume that ρ(r) represents any point charge, or that it is constant, or that it is piecewise constant, or that it does or does not cut off...
So if the E field is zero and the charge density is also zero, and then does it even matter what the E field has numbers? As long as the E field is constant then the charge density will always be zero.
So the divergence of an E field is basically taking partial derivatives with respect to x, y, and z of the E field, but since there are no variables in the E field that means the derivative of the constant E field is zero. Then since the constant E field has a divergence of zero, then does that...
The divergence of a constant electric field is zero, right? I don't understand if the divergence is zero and the divergence is multiplied by the Electric field how you would get a proper answer.
Homework Statement
A space has an uniform electric field
E=(5.00 x 10^3 N/C)\widehat{x} + (6.00 x 10^3 N/C)\widehat{y} + (7.00 x 10^3 N/C)\widehat{z}.
Find the electric-charge density distribution p(r) in this space.
Homework Equations
u = (1/2)(εo)(E^2) , where εo is the constant...
Given only an uniform electric field with unit vectors in the x, y, and z directions, how would you go about calculating the electric-charge density distribution p(r) for that electric field?