Question

The root mean square (r.m.s) value of alternating current i=60sin100πt is

Answer 1

Answer:

root mean square (r.m.s) value of alternating current i=60sin100πt is

= 60/root2

= 42.4264069

Answer 2

The r.m.s value of current is 42.42 Ampere.

Given:

Te equation of current in an AC circuit is  i=60sin100πt

To Find:

The r.m.s value of current

Solution:

The equation of current  i=60sin100πt

compare it with the general equation of current i=i₀sinwt

i₀=60

$\frac{i_{0} }{\sqrt{2} }=i r.m.s \\\frac{60}{\sqrt{2} }=42.42A$

Hence, the r.m.s. value pf current is 42.42A

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