A resistor ( R = 9.00 10 2 ), a capacitor ( C = 0.250 F), and an inductor ( L =

Question

A resistor

(R = 9.00 102 ),

a capacitor

(C = 0.250 F),

and an inductor

(L = 1.70 H)

are connected in series across a 2.40 102-Hz AC source for which

Vmax = 1.45 102 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

Incuctive reactance (XL) = 2*pi*f*L= 2*pi*240*1.7 = 2563 Ohm

capacitive reactance (XC) = 1/(2*08*f*C) = 1/(2*pi*240*0.25E-6) = 2653 Ohm

(a) ==> Z = sqrt(R^2 + (XL - XC)^2) = sqrt(900^2 +90^2) = 904 Ohm

(b) I = V/Z = 145/904 = 0.16 Amp

(c) Tan(Theta) = (XL - XC)/R = 90/900 = 0.1

==> theta = 5.71 degrees

(d) Current is leading

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