It would have been a mathematics question if it had an ambiguity towards calculus; here calculus is used (without any problems in its application) and the real problem is with the derivation.HallsofIvy said:I don't see why this is in the physics section rather than the mathematics section- its purely a mathematics question.
But [itex](\frac{1}{2}Ri_{max}^2)[/itex] is the energy delivered in T/2 seconds right?derek e said:The energy delivered in one second is
[itex]
\left(\frac{1}{2}Ri_{max}^2\right)\cdot(1 sec)
[/itex]
It would help if you stated the problem exactly. Some useful relations areOk suppose I take [itex]
\left(\frac{1}{2}Ri_{max}^2\right)\cdot(1 sec)
[/itex] as correct, then it will return [itex]i_{max} \sqrt \frac{1}{2}[/itex]...that is wrong.
:surprised[itex]P_{avg} &= i_{rms}^2R[/itex]
Average value for the whole time period will be 0.why use a half period?