Amateur ExtraE5C10
Which point on Figure E5-1 best represents the impedance of a series circuit consisting of a 400-ohm resistor and a 38-picofarad capacitor at 14 MHz?
B
Answer
Electrical principles and calculations
Type

A
Point 2
B
Point 4
C
Point 5
D
Point 6
Answer Notes
To find the correct point, you must first calculate the capacitive reactance using the formula Xc = 1 / (2 * pi * f * C). Plugging in 14 MHz (14,000,000 Hz) and 38 pF (0.000000000038 F) yields approximately 300 ohms.
Because the component is a capacitor, the reactance is negative (-j300). The resistance is given as 400 ohms. In the rectangular coordinate system, you move to +400 on the horizontal X-axis (resistance) and down to -300 on the vertical Y-axis (capacitive reactance), which corresponds to Point 4 on the exam's standard figure.
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When using rectangular coordinates to graph the impedance of a circuit, what do the axes represent?
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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?