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

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:

$I_{rms} =\frac{I_{max} }{\sqrt{2} } =\frac{1.6}{\sqrt{2} } =1.131A$

Answer 2

Answer:

$I_{rms}$ = 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  $I_{max}$ =    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 *  $I_{rms}$

$I_{rms}$ =  $\frac{1.60}{1.414}$

$I_{rms}$ = 1.132 A

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