Im having major issues with this problem, I just dont undertsand what I am doing
ID: 3278452 • Letter: I
Question
Im having major issues with this problem, I just dont undertsand what I am doing wrong. please help, thank you in advance
Now let's apply Z=R2+[L(1/C)]2 and tan=X/R to a specific R-L-C circuit. The circuit layout is shown in (Figure 1) . Suppose that its components have values R=300, L=60mH, C=0.50F, V=50V, and =10,000rad/s. Find the reactances XL, XC, and X, the impedance Z, the current amplitude I, the phase angle , and the voltage amplitude across each circuit element.
Part A - Practice Problem:
In a series circuit, suppose R=110, L=360mH, C=0.85F, V=85V, and =3300rad/s. Find the reactance XL.
Express your answer in ohms to two significant figures.
Part B - Practice Problem:
Find the reactance XC.
Express your answer in ohms to two significant figures.
Part C - Practice Problem:
Find the impedance Z.
Express your answer in ohms to two significant figures.
Part D - Practice Problem:
Find the current amplitude I.
Express your answer in amperes to two significant figures.
Part E - Practice Problem:
Find the phase angle .
Express your answer in degrees to two significant figures.
Part F - Practice Problem:
Find the voltage amplitude across the resistor.
Express your answer in volts to two significant figures.
Part G - Practice Problem:
Find the voltage amplitude across the inductor.
Express your answer in volts to two significant figures.
Part H - Practice Problem:
Find the voltage amplitude across the capacitor.
Express your answer in volts to two significant figures.
Explanation / Answer
A) Reactance Xl = wL
= 3300*0.36 = 1188 ohm
B) Xc = 1/wC = 1/3300*0.85*10^-6
= 356.5 ohm
C) Z = sqrt(R^2 + (Xl - Xc)^2 )
= sqrt(110^2 + (1188 - 356.5)^2)]
= 838.74 ohm
D) I = V/Z = 85 / 838.74 = 0.101 A
E) phase angle = tan^-1(Xl - Xc)/R
= tan^-1( 1188 - 356.5) / 110
= 82.46o
F) Vr = I*R = 0.101*110 = 11.14 V
G) Vi = I*Xl = 0.101*1188 = 119.98 V
H) Vc = I*Xc = 0.101*356.5 = 36 V