The simple RLC electrical circuit is set in the fig side. When Kirchoff's Law is used for get the differential ratio of the charge q (t) which is stated as follows: 2 H 16 ohm E 0,02 f e(t) = q(t)/C + R dq(t)/dt + L d^2q(t)/dt^2 where the inductor value is 2 henry, the capacitor 0.02 farad is connected in series with the 16 ohm resistor voltage source E = 300 volts. If the initial value condition is: q (0) = q '(0) = 0, then specify the charge q (t) for t> 0!
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The differential equation given is: \[ e(t) = R \frac{dq(t)}{dt} + L \frac{d^2q(t)}{dt^2} + \frac{q(t)}{C} \] where \( R = 16 \, \Omega \), \( L = 2 \, H \), \( C = 0.02 \, F \), and \( e(t) = 300 \, V \). Show more…
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