The current through the resistor changes according to the law i = 36sin128t. The effective value

The current through the resistor changes according to the law i = 36sin128t. The effective value of the current in the circuit is equal to.

To solve the problem, compare the AC equation with the problem conditions, with the equation in the general case: i = Im * sin (ω * t + α),

in this equation:

i is the instantaneous value of the current strength,

Im is the amplitude value of the current strength,

ω – cyclic frequency,

t – time,

α is the initial phase.

In our case, Im = 36.

The relationship between the effective value of the alternating current and the peak value is described by the formula:

I = Im / √2,

Where

I is the effective value of the current strength.

In our case, Im = 36.

Let’s define I:

I = Im / √2 = 36 / √2 ≈ 25.53.

Answer: I ≈ 25.53.