In an A.C. circuit, I_{{rms}} and I₀ are related as (1994)

Correct Answer is : Irms=I02I_{{rms}}={I₀}{{2}}Irms=2I0

In an A.C. circuit, I_{{rms}} and I₀ are related as (1994)

Correct Answer is : Irms=I02I_{{rms}}={I₀}{{2}}Irms=2I0

NEET Biology Complete Course by Moniba Madam - Watch Full Playlist

Test Index

Class 12 NEET Physics Electromagnetic Induction and Alternating Currents 1

Question : 85 of 100

Marks: +1, -0

In an A.C. circuit,

I_{\mathrm{rms}}

and

I_{0}

are related as

(1994)

$I_{\mathrm{rms}}=\frac{\pi I_{0}}{1}$
$I_{\mathrm{rms}}=\frac{\sqrt{2} I_{0}}{1}$
$I_{\mathrm{rms}}=\frac{I_{0}}{\pi}$
$I_{\mathrm{rms}}=\frac{I_{0}}{\sqrt{2}}$

Validate

Solution:

Concept:

The root-mean-square (RMS) value of a sinusoidal alternating current is its peak value divided by the square root of two.

Explanation:

In an AC circuit with a sinusoidal current,

I_0

represents the peak or maximum current. The RMS current,

I_{\mathrm{rms}}

, is the effective value of this current, which produces the same heating effect as a direct current of the same magnitude. The standard relationship between the two is given by the formula:

I_{\mathrm{rms}} = \frac{I_0}{\sqrt{2}}

Answer:

The correct option is D, which states that

I_{\mathrm{rms}}=\frac{I_{0}}{\sqrt{2}}

Go to Question:

Prev Question

Next Question