We have claimed that the following equation for charge on the capacitor of a series RLC circuit: q(t) = que cos wtq(t) = que coswt, where T = 2L/RT = 2L/R and w² = 12²2 w² LC is a solution to the second-order differential equation, +R+=OL+R+=0. = LC R² L Show this is the case by sequential differentiation of the first equation.
We have claimed that the following equation for charge on the capacitor of a series RLC circuit: q(t) = que cos wtq(t) = que coswt, where T = 2L/RT = 2L/R and w² = 12²2 w² LC is a solution to the second-order differential equation, +R+=OL+R+=0. = LC R² L Show this is the case by sequential differentiation of the first equation.
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Transcribed Image Text:We have claimed that the following equation for charge on the capacitor of a series RLC circuit:
q(t) = que cos wtq(t) = que coswt.
where T = = 2L/RT2L/R and w²
1
LC
=
R²
4L²
is a solution to the second-order differential equation,
=w²
-
=
LC
R²
L+R+=L+.
+R + 2 = 0.
St
Show this is the case by sequential differentiation of the first equation.
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