Consider an LRC series circuit with a resistance of 2.5 ohms, capacitance of 0.1 farad, an inductance of 0.1 henry and electromotive force, volts. Given that Assume there is no initial charge and no initial current on the capacitor. a) Find the equation of the charge q(t), on the capacitor at any time t. (Do not solve the coefficients). b) Name two methods that can be used to find the particular solution qp(t). c) Write your assumption to solve for the particular solution based on each method answered in (b).

Consider an LRC series circuit with a resistance of 2.5 ohms, capacitance of 0.1 farad, an
inductance of 0.1 henry and electromotive force, volts. Given that
Assume there is no initial charge and no initial current on the
capacitor.
a) Find the equation of the charge q(t), on the capacitor at any time t.
(Do not solve the coefficients).
b) Name two methods that can be used to find the particular solution qp(t).
c) Write your assumption to solve for the particular solution based on each method
answered in (b).
d) State the equation of the current, i(t).
e) State the transient and the steady-state current.