Question

How long will it take to discharge a 10μF capacitor from 10V to zero if the current through the capacitor is constant and equal to 2A ?

Answer 1

q=Cv

Answer 2

Thank you.

Answer 3

something along those lines

Answer 4

wait that question is dodgy

Answer 5

current cant be constant through a capacitor

Answer 6

wait , take back what I said

Answer 7

\[i= c \frac{dv}{dt}\]

Answer 8

\[c \frac{dv}{dt} = 2 \]

Answer 9

divide both sides by c , integrate, use the initial condition to find the constant of integration

Answer 10

etc

Answer 11

2 amperes represent 2 coulombs/sec. Since there is only 10^-4 coulomb of charge, if the currents was constant, the capacitor would be completely discharged in 50 micro seconds.

Answer 12

\[v = \frac{2t}{c} +D\]

where D is integration constant, which is 10 from the initial condition

Answer 13

O.K.Thank you.

Answer 14

The amount of charge was computed from the equation provided by elecengr above.
Q=CV where Q is charge in Coulombs, C is Capacitancer in farads, v voltage in volts.

Answer 15

\[Q=10volts x 10 x 10^{-6} farads=10^{-4}Coulombs\]

Answer 16

O.K.Thank you radar.