Calculate the impedance in this RC circuit

[joelkato1605]

Homework Statement

By calculating impedance, find the amplitude and phase of the current flowing in the
RC circuit shown below (Figure 3.1

Relevant Equations

Z =sqrt[ R^2 + (1/wc )^2]

I=v/Z

So Z = sqrt[ R^2 + (1/wc )^2] and V=Ecos(wt) so I= Ecos(wt) / sqrt[ R^2 + (1/jwc )^2] but how do I use this to find the amplitude and phase of the current?

 

[BvU]

Hi,

Are you familiar with working with complex numbers ?

$\$

 

[joelkato1605]

yeah I've done a bit on them

 

[Gordianus]

Can you write the impedance as a complex number (not only its modulus)?

 

[BvU]

https://www.electrical4u.com/rc-circuit-analysis/#:~:text=An%20RC%20circuit%20is%20defined,RL%20circuit%20or%20RLC%20circuit.