An AC source with Delta V max = 160 V and f = 75.0 Hz is connected between point

Question

An AC source with Delta V max = 160 V and f = 75.0 Hz is connected between points a and d in the figure. Calculate the maximum voltages between points a and b. The maximum potential across the resistor will not be equal to the maximum of the source because the two maxima do not occur at the same time. V Calculate the maximum voltages between points b and c. How does the maximum potential across an inductor de end on the maximum value of the current? V Calculate the maximum voltages between points c and d. How does the maximum potential across a ca actor de end on the maximum value of the current? V Calculate the maximum voltages between points b and d . You a ear to be calculating this correctly using your incorrect values for arts (b) and (c). V

Explanation / Answer

resistances offered by inductor and capacitor in an ac source :
Zc = 1/wc
Zl = wl
w = 2* (pi)*n where, n= 75 Hz
w = 471.238
Zc = 32.647
Zl = 87.18
equivalent impedence = {R^2 + (Zl-Zc)^2)}^1/2= 67.63 ohms
I max = Vmax/ Zeq
= 160 / 67.63 = 2.365 A
a> Vmax (a-b) = 2.365 * 40 - 94.63 V
b> Vmax (b-c) = 2.365 * 87.18 = 206.09 V
c> Vmax( c-d) = 2.365 * 32.647 = 77.21 V
d> Vmax (b-d) = 206.09 - 77.21 = 128.88 V

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