## finding voltage and current expressions (capacitance)

1. The problem statement, all variables and given/known data

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?

2. Relevant equations

3. The attempt at a solution
the answer is v(t)=0.5sin(10^5t) , i(t)=0.1cos(10^5t) i dont get how they found the answer

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 Note that q = Cv and i = $\frac{dq}{dt}$.
 what im confused is when they say, charge is microfarad does that mean q=2x10^-6 or is the capacitor 2 microfarad meaning c=2x10^-6

Recognitions:
Homework Help

## finding voltage and current expressions (capacitance)

 Quote by appleraja what im 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).