Question

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.

Answer 1

Current = 0.889 A

Step-by-step explanation:

Given:

rms Voltage ,
`V_(rms)` = 220 V

resistance, R = 350 Ω

We know current across resistance

`I_(R)=(V)/(R)`

where
`I_(R)` is current across voltage

R is resistance

V is voltage

From relation between rms volatge,
`V_(rms)` and source voltage, V

`V = √(2).V_(rms)`

`V = √(2)* 220`

`V = 311.2` volt

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

`I_(R)=(V)/(R)`

`I_(R)=(311.12)/(350)`

`I_(R)= 0.889` A

Therefore, amplitude of current across resistance is 0.889 A