Calculating Peak Current in a Microfarad Capacitor Circuit

[Sarah88]

Homework Statement

A .30 microfarad capacitor is connected across an AC generator that produces a peak voltage of 10.0 V. What is the peak current through the capacitor if the emf frequency is 100 Hz?

Homework Equations

Ic (peak current)= Vc/Xc, Xc= 1/(2*pi*f*C)

The Attempt at a Solution

I solved the equation as: 10V/(2*pi*100 Hz*.30*10^-6 F)= 53051 A, however the book answer is completely different (1.8*10^-3 A), so any hints toward a better equation to use (or better method) would be great. Thank you!

 

[SammyS]

Look at X_C again!

V_C/X_C = V_C/(1/(2·π·f·C))

What you computed was V_C·X_C

 

[Sarah88]

Ohh, that makes a lot more sense! Thank you! :)