The current through a 20.0-mH inductor is LaTeX: i(t)=8t\exp(-t/5) i ( t ) = 8 t exp ⁡ ( − t / 5 ) for LaTeX: t\geq0 t ≥ 0 , where LaTeX: t t is given in seconds and LaTeX: i(t) i ( t ) is given in mA. What is the magnitude of the induced emf across the inductor when LaTeX: t=3.0~\mathrm{s} t = 3.0 s ?

An ideal otto cycle with air as the working fluid has a compression ratio of 8. the minimum and maximum temperatures in the cycle are 300 k and 1340 k. use constant specific heats at room temperature to determine (a) the amount of heat transferred to the air during the heat- addition kj/kg, (b) the thermal efficiency, and (c) the thermal efficiency of a carnot cycle ope limits. process, in rating between the same temperature