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?

Respuesta :

Answer:

[tex]I_{rms}[/tex] = 1.132 A

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  [tex]I_{max}[/tex] =    1.60 A

what is the rms value of the current in this circuit i.e the [tex]I_{rms}[/tex] = ????

The relation between  [tex]I_{max}[/tex]  and  [tex]I_{rms}[/tex]  can be expressed by the formula:

[tex]I_{max}[/tex]   = [tex]\sqrt{2 * I_{rms}}[/tex]

1.60  = 1.414 *  [tex]I_{rms}[/tex]

[tex]I_{rms}[/tex] =  [tex]\frac{1.60}{1.414}[/tex]

[tex]I_{rms}[/tex] = 1.132 A

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

Answer:

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

Explanation:

Data given:

Imax = 1.6 A

The rms value is equal to:

[tex]I_{rms} =\frac{I_{max} }{\sqrt{2} } =\frac{1.6}{\sqrt{2} } =1.131A[/tex]