1.10) A series RCL circuit includes a resistance of 224, an inductive reactance of 638, and a capacitive reactance of 577. The current in the circuit is 0.312 A. What is the voltage of the generator?
-
A series RCL circuit includes a resistance of 224, an inductive reactance of 638, and a capacitive reactance of 577. The current in the circuit is 0.312 A. What is the voltage of the generator?
In a circuit containing a resistor, an inductor, and a capacitor in series, each of these “impedes” the current. The equation for the impedance is shown below.
Z = [R^2 + (Xl – Xc)^2]^0.5
Z = impedance
R = resistance = 224 Ω
Xl = inductance of a coil of wire = 638 Ω
Xc = capacitance reactance = 577 Ω
Z = [224^2 + (638 – 577)^2]^0.5 ≈ 232 Ω
As in all electric circuits, V = I * R
The unit of impedance is ohms, so impedance is the equivalent resistance of a circuit containing a resistor, an inductor, and a capacitor!
V = 0.312 amp * 232 ohm = 72.384 volts
Xl = 2 * π * frequency * inductance
Inductance = Xl ÷ 2 * π * frequency
Xc= 1 ÷ (2 * π * frequency * capacitance)
Capacitance = 1 ÷ (2 * π * frequency * Xc)
This is a method of comparing the “impedance”, of resistors, inductors, and capacitors.
In a circuit containing a resistor, an inductor, and a capacitor in series, each of these “impedes” the current. The equation for the impedance is shown below.
Z = [R^2 + (Xl – Xc)^2]^0.5
Z = impedance
R = resistance = 224 Ω
Xl = inductance of a coil of wire = 638 Ω
Xc = capacitance reactance = 577 Ω
Z = [224^2 + (638 – 577)^2]^0.5 ≈ 232 Ω
As in all electric circuits, V = I * R
The unit of impedance is ohms, so impedance is the equivalent resistance of a circuit containing a resistor, an inductor, and a capacitor!
V = 0.312 amp * 232 ohm = 72.384 volts
Xl = 2 * π * frequency * inductance
Inductance = Xl ÷ 2 * π * frequency
Xc= 1 ÷ (2 * π * frequency * capacitance)
Capacitance = 1 ÷ (2 * π * frequency * Xc)
This is a method of comparing the “impedance”, of resistors, inductors, and capacitors.
-
V = I Z