The power absorbed by the BOX is 0.1e^{-4t} W. Calculate the energy absorbed by the BOX during this same time interval.
Image from: J. D. Irwin and R. M. Nelms, Basic engineering circuit analysis, 10th ed. Hoboken, NJ: John Wiley, 2011.
Solution:
To solve this question, we must remember the following equation:
\,\displaystyle W=\int^{t_2}_{t_1}p\,dt
(Where, W is energy, and p is power)
Substitute the power equation:
\,\displaystyle W=\int^{\infty}_{0}0.1e^{-4t}\,dt
W=-0.025e^{-4t}\Big|^{\infty}_{0}
W=0.025 J
W=-0.025e^{-4t}\Big|^{\infty}_{0}
W=0.025 J