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Methods of Mathematical Physics, Third Edition by Bertha Jeffreys, Harold Jeffreys

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Chapter 8PHYSICAL APPLICATIONS OF THE OPERATIONAL METHOD

Cut the cackle and come to the hosses.

8·01. Charging of a condenser.

An electric circuit contains a cell, a condenser and a coil with self-induction and resistance. Initially the circuit is open. It is suddenly completed; find how the charge on the plates varies with the time.

    Let y be the charge on the condenser, t the time, C the capacity of the condenser, L the self-induction, R the resistance of the circuit and E the electromotive force of the cell. The current is images, and the charging of the condenser produces a potential difference y/C tending to oppose the original e.m.f. Then ...

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