Write and solve pertinent differential equations to answer this problem.
A series circuit contains an electromotive force of 120v, a capacitance of 10^-5 Farads, and an initial current of 1 ampere. The charge after 10 seconds is equal to 0.012 Coulombs (i.e. q(10) = 0.012).
a) What is the value of the resistance?
b) What is the initial charge, q(0)?
c) What is the solution function that determines charge at time (t)?
d) If 1milliamp (1/1000 amp) is sufficient to stop a human heart, how long must this circuit run before it is safe to touch it?