350 −Ω resistor and a 6.40 −μF capacitor are connected in parallel to an ac generator that supplies an rms voltage of 220 V at an angular frequency of 360 rad/s.Find the current amplitude in the resistor.

Respuesta :

Answer:

Current = 0.889 A

Explanation:

Given:

rms Voltage , [tex]V_{rms}[/tex] = 220 V

resistance, R = 350 Ω

We know current across resistance

[tex]I_{R}=\frac{V}{R}[/tex]

where [tex]I_{R}[/tex] is current across voltage

           R is resistance

            V is voltage

From relation between rms volatge,[tex]V_{rms}[/tex] and source voltage, V

[tex]V = \sqrt{2}.V_{rms}[/tex]

[tex]V = \sqrt{2}\times 220[/tex]

[tex]V = 311.2[/tex] volt

Therefore substituting 311.12 volt and 350 Ω for voltage and resistance respectively in the current across resistance equation, we get

[tex]I_{R}=\frac{V}{R}[/tex]

[tex]I_{R}=\frac{311.12}{350}[/tex]

[tex]I_{R}= 0.889[/tex] A

Therefore, amplitude of current across resistance is 0.889 A