Free-Ed: Basic Electronics Fundamentals

AC Components and Circuits
RLC Circuit Analysis

Section 8-2 Parallel RLC Circuits

Parallel RLC Circuit

When I_C is greater than I_L, the phase is positive.

When I_C is less than I_L, the phase is negative

When I_C = I_L the current for the resistance is equal to the total current (I_T)

Procedure

Analysis of a parallel RLC circuit, given the values of V_T, X_L, X_C, and R

Step 1: Determine the voltage for each component

V_R = V_L = V_C = V_T

Step 2: Calculate I_R, I_L, and I_C

I_R = V_R

R

I_L = V_L

X_L

I_C = V_C

X_C

Step 3 Calculate the total current

I_T = �

I_R² + (I_C � I_L)²

Step 3 Determine the current for each component

I_R = I_L = I_C = I_T

Step 4 Calculate the voltage for each component

V_R = I_T x R

V_L = I_T x X_L

V_C = I_T x X_C

Step 5 Determine the phase angle for each component and the total phase angle

q_R = 0�

q_L = �90�

q_C = 90�

q_T = I_C - I_L

I_R