A 1.0 micro Farads capacitor is connected in series with a 16 Ohms resistor as shown in the figure. If the voltage across the capacitor is Vc(t) = 18 cos(1000t) V, what is the voltage across the resistor, VR, at t = 1 s?
Note: The voltage frequency is in radians per second.
the ends are connected in the picture given, eg: black box connected back to capacitor
V_c = 10*cos(1000t)
i_c = C dv/dt
The Attempt at a Solution
My professor was absent from class the day we were supposed to learn this, but the homework is still due in a couple days. Honestly, I'm not really sure where to start. I would think the current in the branch with the capacitor and resistor would need to be found, in order to find the voltage drop across the resistor. Any nudges in the right direction or help would be greatly appreciated!