A generator delivers an AC voltage of the form v = (84.0 V)sin(65 t ) to a capac

Question

A generator delivers an AC voltage of the form v = (84.0 V)sin(65t) to a capacitor. The maximum current in the circuit is 0.560 A. Find the following. Please ashow me every step and be as simple and clear as possible as i have an exam coming up and need to know how to solve this

(a) rms voltage of the generator
                          Answer in V

(b) frequency of the generator
                           answer in Hz

(c) rms current
               answer in A

(d) the reactance
                   answer in

(e) the value of the capacitance
                    answer in F

Explanation / Answer

vrms = 84/root2 = 59.39 V

w = 65pi

w = 2pif = 65pi

f = 65/2 = 32.5 Hz

i rms = imax/root 2 = 0.358 amp

z = vrms/irms = 165.9 ohm

z = xc = 1/2pifc

c = 1/2piz = 959.8*10^-6 F

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