Question

4. Write the continuity equation from amperes law.

Answer 1

Explanation:

The Ampere-Maxwell equation relates electric currents and magnetic flux. It describes the magnetic fields that result from a transmitter wire or loop in electromagnetic surveys. For steady currents, it is key for describing the magnetometric resistivity experiment.

Integral Equation

The Ampere-Maxwell equation in integral form is given below:

(62)¶

∫S∇×b⋅da=∮Cb⋅dl=μ0(Ienc+ε0ddt∫Se⋅n^ da),

where:

b is the magnetic flux

e is the electric field

Ienc is the enclosed current

μ0 is the magnetic permeability of free space

ε0 is the electric permittivity of free space

n^ is the outward pointing unit-normal