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Rev 2.02<br />
Admittance = 1/100 +(-j/100) or 0.01 +j 0.01 Angle =arc tan .01/.01 or 45° (-45° in polar coordinates)<br />
Impedance = 1/ (√ ( (.01)² x (.01)² )) or 1/(.0141) or 70.71 Ώ<br />
E5C08<br />
In polar coordinates, the impedance of a network comprised of a 300-ohm-reactance inductor in series with a 400ohm<br />
resistor is 500 ohms at an angle of 37 degrees.<br />
Z= √(X² + (XL –Xc)²) or Z= √( 400² + (0-300)²) or Z= √(250,000) or Z= 500 Ω<br />
Angle is arc tan (reactance/resistance) or arc tan (300/400) or arc tan (.75) or 36.86°<br />
-<br />
j300<br />
400Ω<br />
E5C09<br />
When using rectangular coordinates to graph the impedance of a circuit, the horizontal axis represents the voltage<br />
or current associated with the resistive component.<br />
E5C10<br />
When using rectangular coordinates to graph the impedance of a circuit, the vertical axis represents the voltage or<br />
current associated with the reactive component.<br />
E5C11<br />
The two numbers used to define a point on a graph using rectangular coordinates represent the coordinate values<br />
along the horizontal and vertical axes.<br />
E5C12<br />
If you plot the impedance of a circuit using the rectangular coordinate system and find the impedance point falls on<br />
the right side of the graph on the horizontal line, you know the circuit is equivalent to a pure resistance.<br />
E5C13<br />
The Rectangular coordinate system is often used to display the resistive, inductive, and/or capacitive reactance<br />
components of impedance.<br />
E5C14<br />
The Polar coordinate system is often used to display the phase angle of a circuit containing resistance, inductive<br />
and/or capacitive reactance.<br />
E5C15 (A)<br />
In polar coordinates, the impedance of a circuit of 100 -j100 ohms impedance is 141 ohms at an angle of -45<br />
degrees.<br />
Z= √(X² + (XL –Xc)²) or Z= √( 100² + ( -100)²) or Z= √(20,000) or Z= 141.42 Ω<br />
Angle is arc tan (reactance/resistance) or arc tan (-100/100) or arc tan (1) or -45°<br />
Jack Tiley <strong>AD7FO</strong> Page 46 3/15/2009