What is the Capacitance of the Unknown Capacitor in the Circuit?

[xswtxoj]

Homework Statement

a series combinations is 11.6k ohms resistor and an unknown capacitor is connected to the a 180 V battery. One second after the circuit is completed, the voltage across the capacitor is 16.8v. determine the capacitance of the capacitor?

Homework Equations

V=18
C?
1 sec later
V=16.8v

The Attempt at a Solution

c= q/v
i=v/r

 

[swuster]

Derive the differential equation for the current/voltage across the capacitor when it's charging, using Kirchoff's Voltage Law, and solve.

Or if you're allowed to, just look up the solution of this equation, which should be in the form V_c (t) = V_o (1 - e^{-t/\tau}) where \tau is the time constant RC. You can then plug in your known values of V_c to solve for the capacitance.