# Steady State Circuit Analysis with Phasors

**1. The problem statement, all variables and given/known data**

Hello everyone! I have the following circuit to solve, and my result is a bit wrong… can you tell me please where’s the mistake?

E=10sin(1000t)

Find the current delivered to the circuit. Find the equivalent impedance of the circuit. Find the equation of the current and voltage drop for each element of the circuit.

**2. Relevant equations**

I tried first to solve for the equivalent impedance.

Vrms=10/√2

Xc= -j * 1/wc

Xl = jwl

w=1000 rad/s

**3. The attempt at a solution**

R1=100Ω, R2=20Ω, R3=50Ω, Xc=-100j, Xl=40j

therefore equivalent impedance is: 100+40j+ ((1/(50-100j))+0.05)^(-1)=40j+100, in polar form: 107.7 < 21.8, so the impedance=107.7/√2(1000t+ 21.8°)Ω.

Is that correct?

http://ift.tt/1h0D8Kj

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