Question

An
R = 58.9 Ω resistor is connected in series with a C = 18.1 μF
capacitor and a 190 Hz, 114 V source. Calculate the current in the
circuit.

What is the value of the inductor that must be inserted in the
circuit to reduce the current to one half that found in the
previous problem?

Answer #1

A resistor (R = 9.00 ✕ 102 Ω), a
capacitor (C = 0.250 μF), and an
inductor (L = 2.30 H) are connected in series
across a 2.40 ✕ 102-Hz AC source for which
ΔVmax = 1.15 ✕ 102 V.
a.) Calculate the impedance of the circuit.
b.) Calculate the maximum current delivered by the source.
c.) Calculate the phase angle between the current and
voltage.
d.) Is the current leading or lagging behind the
voltage?

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 70 Ω resistor, an 7.0 μF capacitor, and a 34 mH inductor are
connected in series in an ac circuit. -Calculate the impedance for
a source frequency of 300 Hz. -Calculate the impedance for a source
frequency of 30.0 kHz.

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 70 Ω resistor, an 9.0 μF capacitor, and a 36 mH inductor are
connected in series in an ac circuit.
a.) Calculate the impedance for a source frequency of 300
Hz.
Express your answer with the appropriate units.
b.) Calculate the impedance for a source frequency of 30.0
kHz.
Express your answer with the appropriate units.

An L-R-C circuit has L = 4.5 H, R = 80 Ω, C = 45 μF (μF = 10-6
F) connected in series to the voltage source with an amplitude 45 V
and frequency 50 Hz.
Find the instantaneous values at t = 6 ms (ms = 10-3 s) of the
voltages (in V) across the voltage source v, resistor
vR, inductor vL, and capacitor
vC

A 1.15-kΩ resistor and a 590-mH inductor are connected in series
to a 1450-Hz generator with an rms voltage of 15.0 V .
What is the rms current in the circuit?
What capacitance must be inserted in series with the resistor
and inductor to reduce the rms current to half the value found in
part A?

A 1.15-k? resistor and a 600-mH inductor are connected in series
to a 1150-Hz generator with an rms voltage of 14.3 V .
A.) What is the rms current in the circuit?
3.19mA.
B.) What capacitance must be inserted in series with the
resistor and inductor to reduce the rms current to half the value
found in part A (in nF)?

A 180 Ω resistor is in series with a 0.105 H inductor and a
0.400 μF capacitor.
(A) Compute the impedance of the circuit at a frequency of
f1 = 500 Hz and at a frequency of f2 = 1000 Hz
.
(B) In each case, compute the phase angle of the source voltage
with respect to the current.

Consider a series RLC circuit with R
= 24 Ω, L = 6.0 mH, and C = 32
μF. The circuit is connected to a 10-V (rms), 600-Hz AC
source.
(a) Is the sum of the voltage drops across R,
L, and C equal to 10 V (rms)?
(b) Which is greatest, the power delivered to the resistor, to the
capacitor, or to the inductor?
(c) Find the average power delivered to the
circuit. W

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