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E5C12

ELECTRICAL PRINCIPLES · Coordinate systems and phasors in electronics: rectangular coordinates; polar coordinates; phasors; logarithmic axes

E5C12E5C →

Which point on Figure E5-1 best represents the impedance of a series circuit consisting of a 300-ohm resistor and a 19-picofarad capacitor at 21.200 MHz?

Figure E5-1 from the NCVEC question pool
  1. APoint 1
  2. BPoint 3
  3. CPoint 7
  4. DPoint 8
Why For a series RC circuit the impedance is Z = R - jXc, with Xc = 1/(2*pi*f*C). Here Xc = 1/(2*pi*21.2e6*19e-12) = about 395 ohms, so Z is approximately 300 - j395 ohms. On the rectangular graph that means going right 300 units on the resistance axis and down about 400 units on the reactance axis, which is where Point 1 falls.
Watch out The point at 300 + j400 is the mirror image above the real axis, which would be a 300-ohm resistor in series with an inductor, not a capacitor; other points swap the resistance and reactance values.
Capacitors go DOWN on the graph (negative j), inductors go UP. Read R across, X up or down.
HamSandwich explanation, first draft. The question and answers are the NCVEC text.
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The rest of E5C

  1. E5C01 Which of the following represents pure capacitive reactance of 100 ohms in rectangular notation?
  2. E5C02 How are impedances described in polar coordinates?
  3. E5C03 Which of the following represents a pure inductive reactance in polar coordinates?
  4. E5C04 What type of Y-axis scale is most often used for graphs of circuit frequency response?
  5. E5C05 What kind of diagram is used to show the phase relationship between impedances at a given frequency?
  6. E5C06 What does the impedance 50 - j25 ohms represent?
  7. E5C07 Where is the impedance of a pure resistance plotted on rectangular coordinates?
  8. E5C08 What coordinate system is often used to display the phase angle of a circuit containing resistance, inductive…
  9. E5C09 When using rectangular coordinates to graph the impedance of a circuit, what do the axes represent?
  10. E5C10 Which point on Figure E5-1 best represents the impedance of a series circuit consisting of a 400-ohm resistor…
  11. E5C11 Which point in Figure E5-1 best represents the impedance of a series circuit consisting of a 300-ohm resistor…
  12. E5C12 Which point on Figure E5-1 best represents the impedance of a series circuit consisting of a 300-ohm resistor…
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