When an uncharged capacitor is charged by a constant current of 4.5 μA for 60 s the pd
across it becomes 4.4 V.
(i) Calculate the capacitance of the capacitor.
capacitance ......................................... F (3)
(ii) The capacitor is charged using a circuit The battery emf is 6.0 V and its internal resistance is negligible. In order to keep the current constant at 4.5 μA, the resistance of the variable resistor R is decreased steadily as the charge on the capacitor increases.
Calculate the resistance of R when the uncharged capacitor has beencharging for 30 s.
resistance ........................................ Ω (3)
I got the first part, 6.14 x 10^-5 F, but for part two, I couldn't do it. Mark scheme says :
since V(of capacitor) was 4.4V after 60s, when t = 30s VC = 2.2 (V)
∴ pd across R is (6.0 – 2.2) = 3.8 (V)
Using V=IR, R=844kohms
My question is, why do u assume that during half the time, u get half the voltage? I swear its not linear its exponential right?