2010014701 | math4u.vsb.cz

SubArea:

Applications of definite integral

Level:

Project ID:

2010014701

Source Problem:

Accepted:

0

Clonable:

1

Easy:

0

The time characteristic of an alternating current

i

is given in the figure, where

I_{m}

is the peak value of

i

. Find the effective value

I

of the alternating current

i

provided the following relation holds:

I^{2} T = \int_{0}^{T} i^{2} d t

.

I = \frac{\sqrt{3}}{3} I_{m}

I = \frac{\sqrt{2}}{2} I_{m}

I = \frac{1}{3} I_{m}

I = \frac{1}{2} I_{m}