RLC Circuits

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a) A *LC* circuit has an inductance of *L*_{0} and a capacitance of *C*_{0}.
Another *LC* circuit has inductance *L* = *nL*_{0} and capacitance
*L* = *nL*_{0}. What is the ratio of the frequencies of oscillations between the latter
and the frequency of oscillations of the first circuit?

b) An*LC* circuit oscillates with frequency *f*_{0}, for an inductance
*L*_{0} and a capacitance *C*_{0}. Keeping the same value of *C*_{0},
replace the coil with another one with inductance *L* = *nL*_{0}. Determine the new
resonant frequency.

b) An

The current flowing in a circuit is given by

a) The average current;

b) The rms current;

\[
\begin{gather}
i=2\sin 4t
\end{gather}
\]

Determine:a) The average current;

b) The rms current;

For a series *RLC* circuit, determine:

a) The equation for the oscillations given by the charge as a function of time*q*(*t*);

b) The solution for the equation of the circuit, in the case of subcritical damping, and the angular frequency of the oscillations.

a) The equation for the oscillations given by the charge as a function of time

b) The solution for the equation of the circuit, in the case of subcritical damping, and the angular frequency of the oscillations.

A series *RLC* circuit contains a resistor with resistance *R* = 75 Ω, an inductor with i
nductance *L* = 10 mH, and a capacitor with capacitance C = 0.20 μF. The initial charge stored
in the capacitor is equal to *q*_{0} = 0.4 mC and the current is zero. Determine:

a) The equation of electric charge as a function of time;

b) What is the type of oscillations in this circuit;

c) The graph of charge*q* versus time *t*.

a) The equation of electric charge as a function of time;

b) What is the type of oscillations in this circuit;

c) The graph of charge

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Fisicaexe - Physics Solved Problems by Elcio Brandani Mondadori is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License .