Study › Amateur Extra › E5C › E5C11

E5C11

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

E5C11E5C →

Which point in Figure E5-1 best represents the impedance of a series circuit consisting of a 300-ohm resistor and an 18-microhenry inductor at 3.505 MHz?

Figure E5-1 from the NCVEC question pool
  1. APoint 1
  2. BPoint 3
  3. CPoint 7
  4. DPoint 8
Why Compute the inductive reactance first: XL = 2*pi*f*L = 2*pi*(3.505e6)(18e-6), which comes to about 396 ohms, essentially 400 ohms. In series the resistance and reactance add as a complex number, so Z = 300 + j396, roughly 300 + j400 ohms. On the graph that is a point 300 units to the right on the resistance axis and about 400 units up on the positive (inductive) reactance axis, which is Point 3.
Watch out The mirror-image point below the axis represents 300 - j400, a capacitive reactance, and points with the 400 and 300 swapped correspond to a different resistor and reactance pair, so check which axis carries which number.
XL = 2*pi*f*L; inductive means plot ABOVE the axis, capacitive below.
HamSandwich explanation, first draft. The question and answers are the NCVEC text.
← E5C10 All of E5C E5C12 →

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…
ARRL Ham Radio License ManualSponsored · View on Amazon →BaoFeng BF-F8HP 8W Dual Band HandheldSponsored · View on Amazon →