The following graph shows the voltage and current through a single circuit eleme
ID: 1644125 • Letter: T
Question
The following graph shows the voltage and current through a single circuit element, what is the frequency of the ac generator? V_P = 72.0 V, I_p = 4.90 A, t_1 = 0.0159 s. What is the average power dissipated in this element? The circuit element above is either a resistor, an inductor, or a capacitor. Use the graph and what you know of circuit elements to determine what type of element is shown in the graph. If it is a resistor, what is the value of its resistance? If it is an inductor, what is its inductance? If it is a capacitor, what is its capacitance?Explanation / Answer
a)
Number of Voltage cycles till t1 is 1.25
frequency
f=1.25/0.0159=78.6 Hz
b)
phase angle =90 degrees
average power
Pav=(1/2)VIcos90
Pav=0
c)
the element is inductor ,so inductive reactance
XL=V/I=72/4.9=14.7 ohms
inductance
L=XL/2pif=14.7/2pi*78.616
L=0.02975 H
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