A resistor (R = 9.00 102 ), a capacitor (C = 0.250 F), and an inductor (L = 1.20

Question

A resistor (R = 9.00 102 ), a capacitor (C = 0.250 F), and an inductor (L = 1.20 H) are connected in series across a 2.40 102-Hz AC source for which Vmax = 1.15 102 V.

(a) Calculate the impedance of the circuit. k

(b) Calculate the maximum current delivered by the source. A

(c) Calculate the phase angle between the current and voltage. °

(d) Is the current leading or lagging behind the voltage?

__The current leads the voltage.

__ The current lags behind the voltage.

__ There is no phase difference between the current and voltage.

Explanation / Answer

R = 900 , C = 0.25 F, L = 1.2 H

f = 240 Hz, V = 115 V

XL = wL = 2pi*f*L = 2pi*240*1.2 = 1809.56 ohm

Xc = 1/2pi*f*C = 2652.58 ohm

X = Xc - XL = 843.02 ohm

a) Impedence = Z = sqrt[R^2 + X^2] = 1233.16 ohm

b) the maximum current = I = V/Z = 93.26 mA

c) X = XC – XL = 843.02 ohms (capacitive)

phase angle = sin-1 (843.02/900) = 69.5 degrees.

d) the reactance is capacitive, the voltage lags the current.

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