PHY101 GDB 1 Solution Fall 2021
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Solution
1. Electric
field diverges from electric charge, an expression of the Coulomb force,
2.
There are no isolated
magnetic poles. but the Coulomb force acts between the poles of a magnet,
3.
Electric fields are produced
by changing magnetic fields, an expression of Faraday's law of induction, and
4.
Circulating magnetic fields
are produced by changing electric fields and by electric currents, Maxwell's
extension of Ampere's law (q.v.) to include the interaction of changing fields.
The
most compact way of writing these equations in the meter-kilogram-second (mks)
system is in terms of the vector operators div (divergence) and curl. In these
expressions the Greek letter rho. p is charge density; J is the current
density. E is the electric field. and B is the magnetic field: here, D and H
are field quantities that are proportional to E and B, respectively.
The four Maxwell equations, corresponding to the four statements above, are:
1.
div D = p,
2. div B = 0,
3. curl E
= -dB/dt, and
4. curl H
= dP/dt + J.
The devices that are working according to Maxwell equations are as following:
1. MRI
2.
Magnetic tap
2.
Electric generator
3. Electric motor
4.
Radio
5.
Mobile phone
6. radar