Finding voltage and current expressions (capacitance)

[appleraja]

Homework Statement

The charge on a 2-microfarad capacitor is given by q(t)=10^-6 * sin(10^5*t) C find the dexpression for the voltage and current?

Homework Equations

The Attempt at a Solution

the answer is v(t)=0.5sin(10^5t) , i(t)=0.1cos(10^5t) i don't get how they found the answer

 

[grzz]

Note that q = Cv and i = $\frac{dq}{dt}$.

 

[appleraja]

what I am confused is when they say, charge is microfarad does that mean q=2x10^-6 or is the capacitor 2 microfarad meaning c=2x10^-6

 

[gneill]

what I am confused is when they say, charge is microfarad does that mean q=2x10^-6 or is the capacitor 2 microfarad meaning c=2x10^-6

Capacitance is given in farads (microfarads in this case), while charge is given in coulombs (C).