Question

DIFFERENTIAL EQUATIONS

1. Find the maximum charge, Q, that can be stored in a capacitor of an RLC circuit connected in series to a 300 V voltage source, if it is known that L= 5/3 H, R=10 ohms, C =1/30 F. Furthermore, we have that Q(0)=0 C, and i(0)=0 A.

Remember that the current i (t) = dQ / dt

Answer #1

A capacitor is charged with a battery. When the energy stored in
the capacitor is 1 ??, the capacitor is disconnected from the
battery in the circuit and connected in series with an inductor
with an inductance of 6 ?H. What is the current in the inductor
when the load on the capacitor is half the initial maximum value?
(The resistance in the circuit can be neglected.)

] Consider a series RLC circuit.
a) When the capacitor is charged and the circuit is closed, find
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An RLC circuit consists of an AC voltage source with a maximum
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at the resonant frequency in amps?

An RLC circuit consists of an AC voltage source with a maximum
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less than the resonant frequency, Irms is 4 amps. What
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A 10 Ohm resistor and 2.329 F capacitor are connected in series
to a 37 V DC voltage source (RC Circuit). What will be the
charge stored in the capacitor 7.74 seconds after
the series is connected?
Please include the steps you take to solve the question, thank
you!

A resistor R = 4.0 omega, a capacitor C = 1 F and an inductor L
= 4 H are connected in series Determine the charge on the capacitor
and the current on the circuit at time t, if originally the
capacitor is discharged and the current is 6A In the following
cases:
a) V = 0, classify the current and make the graph
b) V = 120, in this case make the graph of the charge Q (t) and...

A resistor R = 4.0 omega, a capacitor C = 1 F and an inductor L
= 4 H are connected in series
Determine the charge on the capacitor and the current on the
circuit at time t, if originally the capacitor is discharged and
the current is 6A
In the following cases:
a) V = 0, classify the current and make the graph
b) V = 120, in this case make the graph of the charge Q (t) and...

1) In an LRC circuit, why does the sum of the voltages around
the circuit not equal the applied voltage as Kirchhoff’s rule
requires?
2) Using L = 20 mH, C = 50 ?F and R = 15 ohms, calculate the
resonant frequency of the series LRC circuit. Show your work in the
space below.
3) Using the values from pre-lab question 2 and an applied
voltage of 3.0 volts across the circuit, plot (on a separate sheet)
the voltage...

A series L-C-R circuit contains a 5.00 μF capacitor, a 0.900 H
coil, a 190 Ohms resistor, and a generator producing a maximum
voltage of 30.0 V at an angular frequency of 220 rad/s.
a. Calculate the impedance of the circuit.
b. Calculate the maximum current in the circuit.
c. Calculate the maximum voltage drop across the resistor, the
capacitor, and the inductor.
d. Does the current in this circuit lead the voltage or does the
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A 3.0M? resistor is connected in series with an initially
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connected across four 1.5-V batteries (also in series).
A)
What is the maximum current in the circuit?
B)
When does it occur? (sec)
C)
What percentage of the maximum current is in the circuit after
1.4s
D)
What is the maximum charge on the capacitor?
E)
When does it occur? (sec)
F)
What percentage of the maximum charge is on the capacitor after...

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