An AC source with ? V max = 145 V and f = 25.0 Hz is connected between points a

Question

An AC source with ?Vmax = 145 V and f = 25.0 Hz is connected between points a and d in the figure.

(a) Calculate the maximum voltages between points a and b.
_______________ V

(b) Calculate the maximum voltages between points b and c.
_______________ V

(c) Calculate the maximum voltages between points c and d.
_______________ V

(d) Calculate the maximum voltages between points b and d.
_______________ V

An AC source with ?Vmax = 145 V and f = 25.0 Hz is connected between points a and d in the figure. (a) Calculate the maximum voltages between points a and b. _______________ V (b) Calculate the maximum voltages between points b and c. _______________ V (c) Calculate the maximum voltages between points c and d. _______________ V (d) Calculate the maximum voltages between points b and d. _______________ V

Explanation / Answer

Inductive reactance

XL=2pi*f*L=2pi*25*0.185=29.06 ohms

Capacitive reactance

XC=1/2pi*f*C =1/2pi*25*(65*10-6) =97.94 ohms

Impedance

Z=sqrt[R2+(XL-XC)2]=79.65 ohms

Maximum current

Imax=Vmax/Z =145/79.65=1.82 A

a)

Vab=I*R =1.82*40 =72.8 Volts

b)

Vbc=I*XL=1.82*29.06=52.9 Volts

c)

Vcd=I*XC=1.82*97.94=178.3 Volts

d)

Vbd=Vbc-Vcd=-125.4 Volts

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