please help and please show work! A resistor (R 900 n), a capacitor (C 0.25 HF),
ID: 2296080 • Letter: P
Question
please help and please show work!
A resistor (R 900 n), a capacitor (C 0.25 HF), and an inductor (L 2.0 H) are connected in series across a 240 Hz AC source for which AV 120 V. Calculate the ma following. (a) the impedance of the circuit (b) the maximum current delivered by the source (c) the phase angle between the current and voltage (d) Is the current leading or lagging behind the voltage? The current lags behind the voltage. The current leads the voltage. o There is no phase difference between the current and voltage.Explanation / Answer
a)
Inductive reactance
XL=2pifL=2pi*240*2
XL=3015.93 ohms
Capacitive reactance
XC=1/2pifC =1/2pi*240*(0.25*10^-6)
Xc=2652.58 ohms
Impedance
Z-sqrt[R^2+(XL-Xc)^2]
Z=sqrt[900^2+(3015.93-2652.58)^2]
Z=970.58 ohms
b)
Maximum current
I=Vmax/Z=120/970.58
I=0.1236 A
c)
phase angle
o=tan^-1(XL-Xc/R) =tan^-1(3015.93-2652.58/900)
o=22 degrees
d)
the current lags behind the voltage
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