Question

A 90 W lightbulb is designed to operate with an applied ac
voltage of 130 V rms. The bulb is placed in series with an inductor
*L*, and this series combination is then connected to a 50
Hz 200 V voltage source.

Part A

For the bulb to operate properly, determine the required value
for *L*. Assume the bulb has resistance *R* and
negligible inductance.

Express your answer using two significant figures.

L=........ H

Answer #1

A)

V_{rms} = 130 Volts

P = power = 90 W

R = resistance

using the equation

P = V^{2}_{rms} /R

90 = (130)^{2}/R

R = 187.8 ohm

current is given as

i_{rms} = V_{rms}/R = 130/187.8 = 0.69 A

z = impedence

impedence is given as

z = V_{rms}/i_{rms} = 200/0.69 = 289.86 ohm

inductive reactance is given as

X_{L} = 2fL

impedence is given as

z = sqrt(R^{2} + X_{L}^{2})

289.86 = sqrt(187.8^{2} + X_{L}^{2})

X_{L} = 220.8 ohm

2fL = 220.8

2 x 3.14 x 50 L = 220.8

L = 0.7

In RLC series circuit, an AC source with a rms voltage of 220 V
and frequency 60 Hz is connected to a resistor, a capacitor 65 µF
and an inductor of inductance 185 mH. If the observed current is
4.4 A, evaluate the resistance of the resistor.

A certain lightbulb is rated at 120.0 W when operating at an
rms voltage of 120 V.
(a) What is the peak voltage applied across the bulb?
V
(b) What is the resistance of the bulb?
Ω
(c) Does a 100-W bulb have greater or less resistance than a
120.0-W bulb?
greater
less
Explain.

An ac series circuit consists of a voltage source of frequency
60 Hz and voltage amplitude V, a 194-Ω resistor, and a
capacitor of capacitance 8.2 μF. What must be the source voltage
amplitude V for the average electrical power consumed in
the resistor to be 416 W? There is no inductance in the
circuit.
Express your answer using two significant
figures.

Consider an LR circuit when a 50.0-Hz 240-V
rms ac voltage is applied, where R = 2.30 kΩ , and
L = 410 mH .
What is the rms current the circuit?
Express your answer to three significant figures and include the
appropriate units.
What is the phase angle between voltage and current?
Express your answer using three significant figures.
How much power is dissipated?
Express your answer to three significant figures and include the
appropriate units.
What are the...

An AC source has a frequency f = 1200 HZ and peak voltage 3.5 V.
It is connected in series to a resistor resistance R = 15 Ohms, an
inductor of inductance L = 5 mH and a capacitor of capacitance C =
2 microfarads.
How would you optimize the power factor ( make it equal to
1)?
a. Add a capacitor in series with the existing
one
b. Add a capacitor in parallel with the existing
one
c. Add a capacitor in...

An ac generator with an rms voltage 120 V is and a frequency of
60 Hz is connected with a 15 µF capacitor, and a 30 mH inductor and
a resistor R.
What value must R have if the rms
current in this circuit it to be 5 mA?
Calculate the rms voltage across the
resistor.

1.An AC generator supplies an rms voltage of 220 V at 60.0 Hz.
It is connected in series with a 0.750 H inductor, a 3.50 μF
capacitor and a 211 Ω resistor. What is the impedance of the
circuit? You have to calculate the impedance for a series
RLC-combination.
2. What is the rms current through the resistor? You can use a
similar equation fo Ohm's law for an RLC circuit.
3. What is the average power dissipated in the...

An AC voltage of the form Δv = (110.0 V)sin(330t) is applied to
a series RLC circuit. If R = 32.0 Ω, C = 28.0 μF, and L = 0.220 H,
find the following. (a) impedance of the circuit Ω (b) rms current
in the circuit A (c) average power delivered to the circuit W.

1.)
A 2k resistor has a peak voltage of 10 v applied to it, calulate
the instantaneous value of current at 62 degrees?
2.) A sine wave with a peak value of 120 v has an rms value
of?
3.) A 0.047 uF capacitor will provide 100k of reactance at ___
Hz?
4.)what is the Xc if a 120 V 60Hz source is connected to a
capacitor and the IC is Equal to 0.12 A?
5.) A 60 uH inductor...

An AC voltage source is connected to a 22.0 Ω resistor. The
output voltage of the source is given by the function Δv = (100
V)sin[(50π rad/s)t].
(a) From the equation for the output voltage, what is the
maximum voltage across the resistor (in V)? V (b) From the equation
for the output voltage, what is the frequency of oscillation of the
current through the resistor (in Hz)? Hz (c) What is the rms
voltage across the resistor (in V)?...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 5 minutes ago

asked 8 minutes ago

asked 9 minutes ago

asked 9 minutes ago

asked 11 minutes ago

asked 12 minutes ago

asked 19 minutes ago

asked 20 minutes ago

asked 21 minutes ago

asked 21 minutes ago

asked 23 minutes ago