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Physics Alternating CurrentAlternating Current OverviewClass 12thPhysics

An AC current is given by I = I₁sinωt + I₂cosωt. A hot wire ammeter will give a reading:

Option 1 - <p>(I₁ + I₂) / 2√2<br><!-- [if !supportLineBreakNewLine]--><br><!--[endif]--></p>
Option 2 - <p>√((I₁² + I₂²)/2)</p>
Option 3 - <p>(I₁ + I₂) / √2<br><!-- [if !supportLineBreakNewLine]--><br><!--[endif]--></p>
Option 4 - <p>√((I₁² - I₂²)/2)</p>
14 Views|Posted 5 months ago
Asked by Shiksha User
1 Answer
V
5 months ago
Correct Option - 2
Detailed Solution:

I = I? sin (ωt) + I? cos (ωt)

This can be written as I = I? sin (ωt + φ), where I? = √ (I? ² + I? ²)

A hot wire ammeter reads the rms value of the current.

I_rms = I? /√2 = √ (I? ² + I? ²)/√2

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