Problems in Classical Electromagnetism by Andrea Macchi Giovanni Moruzzi & Francesco Pegoraro

Author:Andrea Macchi, Giovanni Moruzzi & Francesco Pegoraro
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(S-4.2)

The current density is , where is the volume density of free electrons. From this we obtain the microscopic form of Ohm’s law

(S-4.3)

The value of the damping frequency for copper is

(S-4.4)

().

At the electron tangential velocity is . For , due to the absence of external forces the solution of Eq. (S-4.1) is

(S-4.5)

The total current is thus given by

(S-4.6)

and the decay time is .

b) The total charge flown in the ring is

(S-4.7)

Thus, measuring , S, and Q the value of e / m can be obtained. In the original experiment, Tolman and Stewart were able to measure Q using a ballistic galvanometer in a circuit coupled with a rotating coil.

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