I need some help on this question please! A generator delivers an AC voltage of
ID: 1741614 • Letter: I
Question
I need some help on this question please! A generator delivers an AC voltage of the formv = (70 V) sin(70t) to acapacitor. The maximum current in the circuit is 1.00 A. Find the following. (a) rms voltage of the generator1 V
(b) frequency of the generator
2 Hz
(c) rms current
3 A
(d) reactance
4
(e) value of the capacitance
5 F I need some help on this question please! A generator delivers an AC voltage of the formv = (70 V) sin(70t) to acapacitor. The maximum current in the circuit is 1.00 A. Find the following. (a) rms voltage of the generator
1 V
(b) frequency of the generator
2 Hz
(c) rms current
3 A
(d) reactance
4
(e) value of the capacitance
5 F (a) rms voltage of the generator
1 V
(b) frequency of the generator
2 Hz
(c) rms current
3 A
(d) reactance
4
(e) value of the capacitance
5 F
Explanation / Answer
Given that A generator delivers an AC voltage of the formv = (70 V) sin(70t) to acapacitor. The maximum current in the circuit is (Imax)=1.00 A From the above expression we get that Vmax =70V a) The rms voltage of the generator is Vrms =Vmax/2 = 70V/1.414 = 49.50V b) The frequency of the generator is = 70 2f =70 f = 70/2 =35Hz c) The rms current is given by Irms =Imax/2 = 1.00A/1.414 =0.707A d) Then the reactance is Xc =Vrms/Irms = 49.50V/0.707A = 69.993 e) Then the value of the capacitance is given by Xc = 1/C then the capacitance is C =1/Xc =1/(70)(3.14)(69.993) =1/15384.4614 = 6.50*10-5F = 6.50*10-5F