An electric generator supplies power as a function of time according to the expression where the units are SI.The electric energy provided by the generator between t = 0 and t = 1 s is
A)1.8 J
B)2.0 J
C)2.5 J
D)5.0 J
E)8.0 J

Question

An electric generator supplies power as a function of time according to the expression  where the units are SI.The electric energy provided by the generator between t = 0 and t = 1 s is
A)1.8 J 
B)2.0 J 
C)2.5 J 
D)5.0 J 
E)8.0 J

Quizplus · Accepted Answer

We need to find out the electric energy provided by the generator between t = 0 and t = 1 s. To do this, we need to integrate the power function with respect to time over the given interval:

∫(0 to 1) 11e^(3t) dt = [11/3 e^(3t)](0 to 1)

= 11/3 (e^3 - 1)

≈ 2.0 J (to two significant figures)

Therefore, the correct answer is choice B, 2.0 J.

An Electric Generator Supplies Power as a Function of Time