The current in a coil of self inductance 2.0 henry is increasing according to `i= 2 sin t^(2)` ampere. Find the amount of energy spent during the period when the current changes from 0 to 2 apere.

Explanation

Here, `L = 2.0` henry , `i= 2 sin t^(2)`
Energy spent, `E = ?`
Increase in current,
`i_(0) = i_(max) - i_(min) = 2 - 0 - 2` amp
As energy spent = energy stored in magnetic field of inductor.
`:.` Energy spent `= (1)/(2) L i_(0)^(2)`
`(1)/(2) xx 2 xx (2)^(2) = 4` Joule