Chapter 4: Q14E (page 1044)
You have a 200Ω resistor, a 0.400-H inductor, and a 6.00µF capacitor. Suppose you take the resistor and inductor and make a series circuit with a voltage source that has voltage amplitude 30.0 V and an angular frequency of 250 rad/s. (a) What is the impedance of the circuit? (b) What is the current amplitude? (c) What are the voltage amplitudes across the resistor and across the inductor? (d) What is the phase angle ϕ of the source voltage with respect to the current? Does the source voltage lag or lead the current? (e) Construct the phasor diagram.
Short Answer
a) The impedance of the circuit is 224 Ω
b) The amplitude of the current in circuit is 0.134 A
c) The voltage drop across the resistor and inductor is 26.8 V and 13.4 V respectively
d) The phase angle of the voltage source with respect to current is +26.6°
e) The phasor diagram representing the magnitude and directional relationship between current and voltage in the circuit is given by