Question

a) When the capacitor is charged and the circuit is closed, find
the condition for the current to be oscillatory.

b) When the circuit is connected to an AC source V = ?0 cos??, find
the voltage across the inductor and the angular frequency at which
the voltage across the inductor is maximized.

Answer #1

] Consider a series RLC circuit.
a) When the capacitor is charged and the circuit is closed, find
the condition for the current to be oscillatory.
b) When the circuit is connected to an AC source V = ?0 cos??, find
the voltage across the inductor and the angular frequency at which
the voltage across the inductor is maximized.

An L-R-C series circuit consists of a
60.0 Ω resistor, a 16.0 μF capacitor, a 4.00 mH inductor,
and an ac voltage source of voltage amplitude 55.0 V operating at
1500 Hz .
The current amplitude across the inductor, the resistor, and the
capacitor is 0.814A...now, double the frequency and...
a. Find new current amplitude across the inductor, the resistor,
and the capacitor.
b. Find new voltage amplitudes across the inductor, the
resistor, and the capacitor.

A battery is connected to a resistor and an uncharged capacitor.
The switch for the circuit is closed at t = 0 s. (Assume all
circuit elements are connected in series.)
(a) While the capacitor is being charged, which of the following
is true?
A. Current through and voltage across the resistor decrease.
B. Current through and voltage across the resistor first
increase and then decrease.
C. Current through and voltage across the resistor first
decrease and then increase.
D....

. A series circuit consists of a 4 mF
capacitor, originally charged at 1 C, a 6 mH inductor and a switch
initially open. After the switch is closed find:
a. The angular frequency of the oscillations.
b. The charge in the capacitor at 1 ms.
c. The current in the inductor at 1 ms.

The elements in series RCL circuit are a 800 W resistor, a 600
mF capacitor, and a 200 mH inductor. The frequency of
the ac signal is 60 Hz. If Vmax is 170 V, what is the
voltage across the (a) resistor (b) capacitor and (c)
inductor? What is the impedance of the
circuit? Calculate the current in the circuit. What is
the resonance frequency of the circuit?

An L-R-C series circuit consists of a
60.0 Ω resistor, a 16.0 μF capacitor, a 4.00 mH inductor,
and an ac voltage source of voltage amplitude 55.0 V operating at
1500 Hz .
a. Find the current amplitude across the inductor, the resistor,
and the capacitor.
b. Find the voltage amplitudes across the inductor, the
resistor, and the capacitor. Enter your answers numerically
separated by commas. (VL, VR,
VC)
e. Find new current amplitude across the inductor, the resistor,
and...

A circuit is constructed with an AC generator, a resistor,
capacitor and inductor as shown. The generator voltage varies in
time as ε =Va - Vb = εmsinωt,
where εm = 120 V and ω = 651 radians/second. The values
for the remaining circuit components are: R = 97 Ω, L = 114.8 mH,
and C = 11.9μF.
3)
What is φ, the phase angle between the generator voltage and the
current in this circuit. The phase φ is defined...

A 10 .0 Ω resistor, 10.0 mH inductor, and a 10.0μF capacitor are
connected in series with a 10.0 kHz voltage source. The current
through the circuit is 0.20 A. Find the voltage drop across each of
the 3 elements. What is the resonance frequency of this circuit? Is
the voltage lagging or leading the current in this circuit?

Q4. A science project exhibit, a capacitor is connected in
series with a bulb connected to an ac source. If its voltage
amplitude is held constant, choose the correct option for the light
bulb to glow the brightest at (a) high frequencies (b) low
frequencies (c) The brightness will be same at all frequencies. At
what frequency the light bulb will glow the dimmest, if capacitor
is replaced by inductor? When an AC source is replaced by DC source
find...

An LC circuit is connected in series with the capacitor
initially charged. The period of oscillation is T. If at t=0, there
is no current in the circuit, what is the next time at which the
voltage across the inductor achieves a maximum magnitude? Pick the
correct choice from the following choices explaining your choice
clearly:
1) T/4
2) T/2
3) 3T/4
4) T
5) 2T

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