Question

An electrical system comprise of a resistance of 5 ohms connected in series with an inductance...

An electrical system comprise of a resistance of 5 ohms connected in series with an inductance of 6Henry and a capacitance of 3 picofarads across a 12 volts supply voltage V, which causes a current I to flow.

a) Draw the circuit diagram.

aii)
Apply Kirchoffs law to the circuit and
Obtain its mathematical model in the form of a second order ordinary differential equations.(ODE)

b)
By the method of LAPLACE transform, obtain the current I(s), flowing through the circuit.
c)
Obtain the relationship V(s)/ I(s)
and explain its importance to the system

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