Question

The rms value of current given by equation I = (2 + 4 sinωt) A for a complete cycle is given by​

Answer 1

Answer:

6A

explanation

I = ( 2+4 sinwt)

(2+4)

(6)

answer = 6A

Answer 2

Given:

Alternating current given by equation I = (2 + 4 sinωt) Ampere.

To find:

RMS Value for a complete cycle ?

Calculation:

So, RMS value for a sinusoidal AC is :

$\boxed{ i_{RMS} = \dfrac{ i_{0} }{ \sqrt{2} } }$

• 'i_(0)' represents the alternating component of the current.

So, in our question, the answer will be :

$\boxed{ i_{RMS} = i_{c} + \dfrac{ i_{0} }{ \sqrt{2} } }$

• 'i_(c)' is the constant component.

$\implies i_{RMS} = 2 + \dfrac{ 4 }{ \sqrt{2} }$

$\implies i_{RMS} = 2 + 2 \sqrt{2}$

$\implies i_{RMS} = 2 (1 + \sqrt{2} ) \: ampere$

So, RMS value is 2(1+√2) A.