First slide

Alternating Current and voltage

Question

If instantaneous current is given by $i = 4 \cos (ω t + φ)$ amperes, then the r.m.s. value of current is

Moderate

A

4 amperes
B

$2 \sqrt{2}$ amperes
C

$4 \sqrt{2}$ amperes
D

Zero amperes

Solution

$i_{r . m . s .} = \frac{i_{o}}{\sqrt{2}} = \frac{4}{\sqrt{2}} = 2 \sqrt{2} ampere$

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