Simple AC circuit theory problem

AI Thread Summary
The discussion revolves around solving a simple AC circuit problem involving a 100-ohm resistor and a 10mH inductor in series, with a voltage function of V = 20sin(5000t). The main goal is to find the peak current in the circuit. Participants clarify that the peak voltage is 20V and that the frequency can be derived from the given voltage function. The impedance (Z) is calculated using the formula Z = sqrt(R^2 + XL^2), where XL is the inductive reactance. Ultimately, the solution simplifies to using I = V/Z to find the peak current.
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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 + XL2
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 :)
 
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Welcome to PF.

Looks like you are on the right track, assuming you know how to calculate XL for the inductor.
 
thanks I've got it... I = V/Z... z= r+j(wl).. just didnt realize it's that simple.
 

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