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Hi,

A pure capacitor C is in an a.c. circuit.

Vc = V0 * sin(w*t)

Q = C * Vc

= C * V0 * sin(w*t)

I = dQ/dt

= wCV0 sin(wt)

then I0 = wCV0

Xc = V0 / I0 = 1/(wC)

So why people would say V = I * Xc?

Is it a must to include complex number?

A pure capacitor C is in an a.c. circuit.

Vc = V0 * sin(w*t)

Q = C * Vc

= C * V0 * sin(w*t)

I = dQ/dt

= wCV0 sin(wt)

then I0 = wCV0

Xc = V0 / I0 = 1/(wC)

So why people would say V = I * Xc?

Is it a must to include complex number?

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