For the circuit of Figure 1, determine the roots of the characteristic equation. State whether the system is under damped, over damped or critically damped. R= 2500 L= 100 mH C= 0.4 uF Figure 1: Natural response of Parallel RLC circuit. Find the expression for the voltage response of the capacitor (v.(t)) assuming the v(0)* = dv 12 V (Initial voltage of the capacitor) and initial value of dt -300 kV/s. Plot the voltage response of the capacitor using Matlab. Determine the resistor value (R) which causes the response to be critically damped.

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For the circuit of Figure 1, determine the roots of the characteristic equation. State whether
the system is under damped, over damped or critically damped.
2.1
R= 2500
L= 100 mH
C= 0.4 uF
Figure 1: Natural response of Parallel RLC circuit.
2.2
Find the expression for the voltage response of the capacitor (v.(t)) assuming the v(0)* =
dv
12 V (Initial voltage of the capacitor) and initial value of
dt
-300 kV/s. Plot the
voltage response of the capacitor using Matlab.
2.3
Determine the resistor value (R) which causes the response to be critically damped.
Transcribed Image Text:For the circuit of Figure 1, determine the roots of the characteristic equation. State whether the system is under damped, over damped or critically damped. 2.1 R= 2500 L= 100 mH C= 0.4 uF Figure 1: Natural response of Parallel RLC circuit. 2.2 Find the expression for the voltage response of the capacitor (v.(t)) assuming the v(0)* = dv 12 V (Initial voltage of the capacitor) and initial value of dt -300 kV/s. Plot the voltage response of the capacitor using Matlab. 2.3 Determine the resistor value (R) which causes the response to be critically damped.
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