A series RLC circuit consists of a 100 W resistor, a 0.15 H inductor, and a 30 µF capacitor. It is attached to a 120 V/60 Hz power line (the voltage 120V is the root mean square value). What are



a. The emf εrms


b. The phase angle ϕ


c. The average power loss

Answers

Answer 1
B……………………………………………..
Answer 2

(a) The root mean square value of current in the circuit is 1.14 A.

(b) The phase angle ϕ of the circuit is 17.7⁰.

(c) The average power loss in the circuit is 136.4 W.

Capacitive and inductive reactance of the RLC circuit

The capacitive and inductive reactance of the series RLC circuit is calculated as follows;

Xc = 1/ωC

[tex]X_c = \frac{1}{2\pi f C} = \frac{1}{2\pi (60)(30 \times 10^{-6})} = 88.42 \ ohms[/tex]

Xl = ωL

Xl = 2πfL

Xl = 2π(60)(0.15)

Xl = 56.55 ohms

Impedance of the circuit

The impedance of the circuit is calculated as follows;

[tex]Z = \sqrt{R^2 + (X_c - X_l)^2} \\\\Z = \sqrt{100^2 + (88.42 -56.55)^2} \\\\Z = 104.96 \ ohms[/tex]

Rms current of the circuit

[tex]I_{rms} Z = V_{rms}\\\\I_{rms} = \frac{V_{rms}}{Z} \\\\I_{rms}= \frac{120}{104.96} \\\\I_{rms}= 1.14 \ A[/tex]

Phase angle

The phase angle of the circuit is calcuated as follows;

[tex]tan \phi = \frac{X_c - X_l}{R} \\\\tan\phi = \frac{88.42 - 56.55}{100} \\\\tan\phi = 0.3187\\\\\phi = tan^{-1}(0.3187) \\\\\phi = 17.7 \ ^0[/tex]

Average power loss in the circuit

The average power loss in the circuit is calculated as follows;

[tex]P = I_{rms}^2 Z\\\\P = (1.14)^2 (104.96)\\\\P = 136.4 \ W[/tex]

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Related Questions

True or false?

Shops can mix refrigerants

Answers

Answer:

False

Explanation:

The statement "Shops can mix refrigerants" is false.

What are refrigerants?

Refrigerants are the chemicals that are used in the refrigerator's cycle of the air conditioner. They are fluid. Examples of refrigerants are CFC, HCFC, FC, ammonia, etc.

They are changed to form a phase of liquid to gas and gas to liquid. They are their transition stages. There are four types of refrigerants. They are Evaporative Cooling, Mechanical-Compression Refrigeration Systems, absorption, and thermoelectric.

Inadequate system pressures and temperatures can be brought on by mixed refrigerants. This may lead to inadequate cooling of the compressor, potential compressor damage, inadequate cooling, and metering device malfunction.

Thus, the statement is false regarding shops can mix refrigerants.

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If a motor or transformer has a low-frequency hum, what can be done to reduce/ eliminate the noise?

Answers

no because has a power and it still with noise

5. In an automotive shop, asbestos is found in
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B) O Tires
CO Wiper fluid
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Answers

In an automotive shop, asbestos is found in Brake linings.

What is Asbestos? Asbestos is a fibrous silicate material which was occurring naturally. These minerals have been used in construction and manufacturing for many reasons.In an Automotive shop, asbestos are used in wide variety of auto parts, including brakes, clutches, liners, gaskets, heat shields , etc.,.Drum brakes and disc brakes are usually manufactured using 30% to 60% of asbestos.Decal stripes, spark plugs, undercoating, Sound proofing, Insulation, etc., are also made up of asbestos.Old cars will contain more asbestos parts than new cars. Both professional auto mechanics and car owners who repair themselves are at an increased risk of developing mesothelioma and other asbestos-related diseases.

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Answer:

D

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Brake linings

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Answers

37 students in the class
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2
Tech A says the Wengine consists of two VR cylinder banks in a
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that slide back and forth inside a straight cylinder. Who is correct?
of

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Answer:tech A

Explanation:

To properly dispose of oily rags they must be

Answers

Answer:

tp put them in a oil safe container. or throw away

Answer:

oil can't be dispose

Explanation:

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Solve the inequality. Then graph your solution.
-9v – 10 < 7y +6

Answers

16

if you add 9+10 you get 18 - 7+6

TEST ANSWER

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22. The word biodegradable on a label doesn't necessarily mean a product is environmentally safe.
A) O True
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Answers

That would be A( O True

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Answers

Answer:

the major jobs of a nurse are

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3.to help doctors in operation time

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[tex]\tt \ huge \orange{ oh }[/tex]

Apollo 13 Describe how the flight controllers developed and used models. What kind of drawings might they have used to solve the problem

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Answer:

In order to power the fuel cells that provided most of the electricity used during the flight, the Apollo spacecraft carried two tanks of liquid hydrogen and two tanks of liquid oxygen. ... The testing team decided to solve this problem by heating the tank overnight to force the liquid oxygen to burn off

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Answer:

Design. Modern headframes are built out of steel, concrete or a combination of both. Timber headframes are no longer used in industrialized countries, but are still used in developing nations

This is all I could find online hope this helps

The first vertical shafts had a rectangular cross section and were lined with wood. The first Headgears were also made of wood, but as shaft depths and skip payloads increased, steel became the material of choice for building a Headgear.

Which of these does OSHA require employers to construct and install to minimize electrocution hazards?

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Answer:

OSHA requires that the exposed and operating elements of an electrical installation, lighting, equipment, motors, machines, appliances, switches, controls, and enclosures must be constructed and installed so as to minimize workplace electrocution hazards.

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Answer:

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3. Which of these tools is typically not used by Automotive Technicians?
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C. Defibrillator
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Answers

The answer is "Option c", and more explanation can be defined as follows:

Automotive and mechanical service technicians alter their vehicles using oil. Autonomous service technicians and mechanics often referred to as service technicians or services technology experts, inspection, repair, and maintenance of automobiles & commercial vehicles.It contains fundamental rectangles, wrenches, sockets, flips & pinions. Tool to measure torques: As a technician, you will always take things apart and reassemble them. These tools tighten the attachments so that pieces can be reassembled properly. It uses oxyfuel cutters, diagnostic computers, and test instruments.

Therefore, "Option C" is correct.

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Employees are working within an excavation that is more than 4 foot deep and cannot safely exit the site. What is a hazard that needs to be addressed in this situation?
Select the best option.

Access/Egress


Oxygen Deficiency and Toxic Fumes


Water Accumulation

Answers

The answer is Access/egress because the victim can get oxygen from the top and water from the other workers.

A hazard that needs to be addressed in the given situation is Access/Egress. Option A is correct.

What is the significance of Access and Egress?

When handling a security or emergency scenario, access and egress points are crucial. It is crucial to have rapid access to and exit from the building in case of an emergency.

Planning entrance and egress locations should be done while creating evacuation routes. A safe escape that people can use in an emergency is called emergency egress. In an emergency circumstance like a fire, emergency access and escape are crucial.

In the given case, Employees are working within an excavation that is more than 4 foot deep and cannot safely exit the site, this is clearly deined that the Access/Egress is a hazard that must be dealt.

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t/f

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Answers

Answer:

Im pretty sure its True.


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A) O Air-based
B) O Oil-based
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Answers

D) O Water - Based Is the 1000000000000000000% correct answer

Answer:

D

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Answers

Answer:

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Explanation:

i just know its right because its the sample response :D

The personal water filter meets the following requirements: It cleans tap water for domestic use, is reasonably priced, and is easy to transport.

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A water filter reduces water contamination through the use of a thin physical barrier, a chemical reaction, or a biological reaction to remove contaminants.

Conditions were satisfied in the example scenario:

Functionality: The personal water filter is capable of effectively removing germs and other pollutants from water.The filter is portable and convenient to use while traveling or camping because it is small and light.Affordability: The filter is a reasonable solution for those on a tight budget, costing around $20 or so.Durability: The filter can resist the wear and tear of continuous use thanks to its durable plastic design.

Unmet requirements:

Heavy Metal Removal: In locations where water sources are tainted with such substances, the filter's inability to remove heavy metals from water raises some questions.In locations where water supplies are contaminated with these bacteria, the filter's ineffectiveness at removing viruses may be a problem.In regions where only saltwater is accessible, the filter's inability to remove salt from the water could be a problem.Longevity: The filter is sturdy, however depending on usage, it might not last as long as other filtering systems and might need to be changed rather frequently.

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Answer:

b because if u got the sewer and septic system

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Answers

Answer:

He/She can use gears or an animal

Explanation:

He/She can use gears or an animal like a donkey

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Answers

I think it is

Sensitivity to design
skill in drawing techniques
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Answers

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Answer:

true

Explanation:

True .the chlorofluorocarbons also known as CFC’s also contribute on depleting the ozone layer

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Answers

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Answer:

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TEST ANSWER

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Answers

Answer:

[tex] {10}^{ - 3} \\ because \: the \: small \: measurement \\ \: by \: using \: scale \: is \: milli \: metere \\ \: it \:i s \: {10}^{ - 3 } \\ thank \: you[/tex]

Drag each label to the correct location.
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Answers

Answer:

coal = not processed

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Explanation:

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Student A

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Answers

Answer:

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Explanation:

hope this helps have a great day


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Answer:

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