Question

A 120-V rms voltage at 60.0 Hz is applied across an inductor, capacitor and a 100- resistor in series. If the maximum value of the current in this circuit is 1.60 A, what is the rms value of the current in this circuit?

Answer 1

The rms value of the current in this circuit is 1.131 A

Step-by-step explanation:

Data given:

Imax = 1.6 A

The rms value is equal to:

`I_(rms) =(I_(max) )/(√(2) ) =(1.6)/(√(2) ) =1.131A`

Answer 2

`I_(rms)` = 1.132 A

Step-by-step explanation:

Given that:

A 120-V rms voltage at 60.0 Hz which applied across an inductor, capacitor and a 100- resistor in series.

If the maximum value of the current in this circuit
`I_(max)` = 1.60 A

what is the rms value of the current in this circuit i.e the
`I_(rms)` = ????

The relation between
`I_(max)` and
`I_(rms)` can be expressed by the formula:

`I_(max)` =
`\sqrt{2 * I_(rms)}`

1.60 = 1.414 *
`I_(rms)`

`I_(rms)` =
`(1.60)/(1.414)`

`I_(rms)` = 1.132 A

Thus, the value of the current this circuit = 1.132 A