Simple AC circuit theory problem

[backstance]

Homework Statement

It's a simple AC circuit with a 100ohm resistor and a 10mH inductor connected in series. The voltage is given as a function rather than a quantity: V = 20sin (5000t).

Problem asks to find the peak current in the circuit.

Homework Equations

i = integral (V/L)dt
Z = sqrt (R² + X_L²
V=IZ

The Attempt at a Solution

Is it as simple as saying the peak voltage is 20V and the frequency is f = 5000/2pi , and then solving it like a normal AC circuit? Or is any integration required, or anything similar? I am quite clueless, any help would be appreciated thanks :)

 

[Redbelly98]

Welcome to PF.

Looks like you are on the right track, assuming you know how to calculate XL for the inductor.

 

[backstance]

thanks I've got it... I = V/Z... z= r+j(wl).. just didnt realize it's that simple.