Saturday, January 31, 2015
AC Circuits: Calculating the Total Impedance Problem #1
A 100-ohm resistor, 5mH inductor, and a 10uF capacitor are connected in series to a 7V (Volts), 1kHz (kiloHertz) source. Calculate the total reactance and impedance of the circuit.
Here is how to get the total impedance, if you do not know yet.
Solution:
Z_t = R + jX_{eq}
Z_t = R + j(X_L - X_C)
Z_t = 100\Omega + j(31.42\Omega - 15.92\Omega)
Rectangular form:
Z_t = 100\Omega + j15.5\Omega
Polar form:
Z_t = 101.19\angle8.81^{\circ}\Omega
Check below for more relevant sample problems with their answers and solutions. If you have questions about the solution or answer, place a comment below.
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