The voltage across a 5-μF capacitor is known to be vc = 125t e^(−1000t) V for t ≥ 0.
(a) Find the current through the capacitor for t > 0. Assume the passive sign convention.
(b) Find the power at the terminals of the capacitor when t = 15 μs.
(c) Is the capacitor absorbing or delivering power at t = 15 μs?
(d) Find the energy stored in the capacitor at t = 15μs.

a) i(t)=2.5*(e^(-2500*t))*(1-2500*t) mA

b) P=16.7 μW

c) the capacitor is absorbing power.

d) E = 1.29x10^-10 nJ

Explanation:

In this exercise we will use the concepts and formulas of electric current. The step-by-step solution is seen in the attached image.

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i just did this and got a 100.

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.