1.

A current in circuit is given by i = 3 + 4 sinwt then the effective value of current is

Answer»

If an instantaneous current is \bold{I=I_{dc}+I_{ac}}
= a + bsinωt , where IDC denotes DIRECT current and Iac denotes alternating current.
Then, EFFECTIVE current is given by \bold{I_{eff}=\sqrt{a^2+\frac{b^2}{2}}}

Given, I = 3 + 4sinωt
Compare from above equation
a = 3 and b = 4
Now, Ieff = \bold{I_{eff}=\sqrt{3^2+\frac{4^2}{2}}} =\sqrt{17}A

Hence, answer is √17 A


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