3. You have seen how Kirchhoff's laws were used in your lectures to obtain a 2nd order differential equation where we solved for the current. This time we will use an even simpler concept: principle of conservation of energy to derive the 2nd order differential equation where we will solve for the charge. Take a look at the circuit below. IHE :2F In the circuit above, we have a capacitor with capacitance 2 F, an inductor of inductance 5 H and a resistor of 3N (d) Given that the coefficient of your cosine function is the time-dependent amplitude (for example A(t) is the amplitude of the function A(t) cos t). At what time Thals will the amplitude of the charge oscillations in the circuit be 50% of its initial value?

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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3. You have seen how Kirchhoff's laws were used in your lectures to obtain a 2nd
order differential equation where we solved for the current. This time we will
use an even simpler concept: principle of conservation of energy to derive the
2nd order differential equation where we will solve for the charge. Take a look
at the circuit below.
SHE
=2F
In the circuit above, we have a capacitor with capacitance 2 F, an inductor of
inductance 5 H and a resistor of 3N
(d) Given that the coefficient of your cosine function is the time-dependent
amplitude (for example A(t) is the amplitude of the function A(t) cos t).
At what time Thais will the amplitude of the charge oscillations in the
circuit be 50% of its initial value?
Transcribed Image Text:3. You have seen how Kirchhoff's laws were used in your lectures to obtain a 2nd order differential equation where we solved for the current. This time we will use an even simpler concept: principle of conservation of energy to derive the 2nd order differential equation where we will solve for the charge. Take a look at the circuit below. SHE =2F In the circuit above, we have a capacitor with capacitance 2 F, an inductor of inductance 5 H and a resistor of 3N (d) Given that the coefficient of your cosine function is the time-dependent amplitude (for example A(t) is the amplitude of the function A(t) cos t). At what time Thais will the amplitude of the charge oscillations in the circuit be 50% of its initial value?
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