1. (10 points) The cumulative amount of charge in Coulombs that passes through a certain device is

0; t < 0

2; 0≤t≤ 4

0.5t; 4≤t≤ 8'

4e-0.2(t-8); t≥8

q(t) =

where t is given in seconds.

a. Sketch the plot for charge from 0 to 12 seconds.

b. What is the current at t = 2 s?

c. What is the current at t = 6 s?

d. What is the current at t = 12 s?

2. (10 points) The current through a certain device is i(t) = 2(1 — e−¹⁰t) A, and the voltage across it is

v(t) = 12e-1⁰t V.

a. How much charge enters the device from t = 0 s to t = 1 s?

b. What is the maximum power delivered to the device?