Respuesta :

Answer:

[tex]I_{rms}=2.12\ A[/tex]

Explanation:

Given that,

The instantaneous current in the circuit is giveen by :

[tex]I=3\sin\theta\ A[/tex]

We need to find the rms value of the current.

The general equation of current is given by :

[tex]I=I_o\sin\theta[/tex]

It means, [tex]I_o=3\ A[/tex]

We know that,

[tex]I_{rms}=\dfrac{I_o}{\sqrt2}\\\\=\dfrac{3}{\sqrt2}\\\\=2.12\ A[/tex]

So, the rms value of current is 2.12 A.