1. An RLC circuit consists of three elements: a resistor (R), and inductor (L) and a capacitor (C), as shown. By Kirchhoff's voltage rule, the algebraic sum of the voltage drops around a closed circuit is zero. Resistor Inductor Capacitor Ldi dt iR Thus, iR+L di 9 + dt C where i= current in amperes (A), R = resistance in ohms (Q), L = inductance in henrys (H), q = charge in coulombs (C) and C = capacitance in farads (F). (Note: Solve for di in the equation above)

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1. An RLC circuit consists of three elements: a resistor (R), and inductor (L) and a capacitor (C), as
shown. By Kirchhoff's voltage rule, the algebraic sum of the voltage drops around a closed circuit is zero.
Resistor Inductor Capacitor
Ldi
dt
iR
mell
Thus,
iR +L
di +9
= 0
where i = current in amperes (A), R= resistance in ohms (2), L = inductance in henrys (H), q = charge
in coulombs (C) and C = capacitance in farads (F).
di
(Note: Solve for -
dt
in the equation above)
Also, the current is related to the charge given by
dq
dt
(a) If the initial values are i(0) = 0 and q(0) = 1.5 C, use Euler's method to solve this pair of differential
equations from t = 0 to t = 0.01 s using a step size of At = 0.01 s. Use R= 2002, L= 5 H, and
C = 10 F.
The table is similar to this:
i
(b) Plot i vs. t and q vs. t curves using google sheet or excel on a single chart.
Transcribed Image Text:1. An RLC circuit consists of three elements: a resistor (R), and inductor (L) and a capacitor (C), as shown. By Kirchhoff's voltage rule, the algebraic sum of the voltage drops around a closed circuit is zero. Resistor Inductor Capacitor Ldi dt iR mell Thus, iR +L di +9 = 0 where i = current in amperes (A), R= resistance in ohms (2), L = inductance in henrys (H), q = charge in coulombs (C) and C = capacitance in farads (F). di (Note: Solve for - dt in the equation above) Also, the current is related to the charge given by dq dt (a) If the initial values are i(0) = 0 and q(0) = 1.5 C, use Euler's method to solve this pair of differential equations from t = 0 to t = 0.01 s using a step size of At = 0.01 s. Use R= 2002, L= 5 H, and C = 10 F. The table is similar to this: i (b) Plot i vs. t and q vs. t curves using google sheet or excel on a single chart.
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