- #1

Acuben

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## Homework Statement

You don't even have to read the whole thing... just the red part is sufficient.

I saw this on the homework: V= (100 v) sin (1 000t)

What does this mean?

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Can I treat it as having 100 real magnitude and 0 imaginary magnitude (and therefore 0 phase angle)? or does sin(1 000t) tells something about the phase angle?

or does sin (1 000t) tells something about angular velocity or frequency?

I can't solve this problem without knowing frequency or angular velocity

just for side note: let...

V= delta voltage

v= unit volts

uF= micro farad

H= Henries

RLC= i believe it stands for Resistance, Inductor, Capacitor

An AC voltage of the form V= (100 v) sin (1 000t) is applied to a series RLC circuit. Assume the resistance is 400 Ohms, the capacitance is 5.00 uF, and the inductance is 0.500 H. Find the average power delivered to the circuit

## Homework Equations

w= angular velocity (supposed to be omega)

L= inductor

C= capacitor

j= complex coefficent = sqrt(-1)

Zl= resistance of inductor

Zc= resistance of capacitor

Ztot= total resistance

R= resistance of resistor

P= Power

Xl=wL

Xc=1/wc

Zl=j*Xl

Zc=-j*Xc

Ztot= R + Zl + Zc = R + j(Xl-Xc)

P=I*V*(P.F)

P.F= Power Factor. Is is cos [tex]\varphi[/tex]

the angle between voltage and current.

by default everything is in RMS (rootmeansquare), but it shouldn't matter in calculation)

## The Attempt at a Solution

well it's easy except I don't know frequency nor angular velocity.

Otherwise finding Ztot will be easy and finding power is easy as well

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