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Principles of Technology Waxahachie High School Energy in Electrical Systems PIC Chapter 5.3 PT TEKS

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Principles of Technology Waxahachie High School. Energy in Electrical Systems PIC Chapter 5.3. PT TEKS. Energy in Electrical Systems. Objectives : Describe a capacitor. Explain how a capacitor stores energy. Define capacitance. Calculate the electrical energy stored in a capacitor. - PowerPoint PPT Presentation

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Page 1: Principles of Technology Waxahachie High School

Principles of TechnologyWaxahachie High School

Principles of TechnologyWaxahachie High School

Energyin

Electrical Systems

PIC Chapter 5.3

Energyin

Electrical Systems

PIC Chapter 5.3

PT TEKS PT TEKS

Page 2: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

Objectives:

Describe a capacitor.Explain how a capacitor stores energy.Define capacitance.Calculate the electrical energy stored in a capacitor.Describe an inductor.Explain how a conductor stores energy.Calculate the electrical energy stored in an inductor.

Objectives:

Describe a capacitor.Explain how a capacitor stores energy.Define capacitance.Calculate the electrical energy stored in a capacitor.Describe an inductor.Explain how a conductor stores energy.Calculate the electrical energy stored in an inductor.

Page 3: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

A capacitor is an electrical device that stores energy in an electric field.

A power supply removes electrons from one plate in a capacitor and deposits them on a second plate.

A capacitor is an electrical device that stores energy in an electric field.

A power supply removes electrons from one plate in a capacitor and deposits them on a second plate.

Page 4: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

This causes the plate that loses electrons to become positively charged and the plate that gains electrons to become negatively charged.

The work done to create this electric field is equal to the potential energy stored in the field.

This causes the plate that loses electrons to become positively charged and the plate that gains electrons to become negatively charged.

The work done to create this electric field is equal to the potential energy stored in the field.

Page 5: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

Equation for Potential Energy in an electric field =

½ x charge x Voltage

W = ½ q V

Equation for Potential Energy in an electric field =

½ x charge x Voltage

W = ½ q V

Page 6: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

If the charge is 10 C (coulombs) and the change in Voltage is 6 V, what is the work done?

W = ½ q x V

W = .5 x 10 x 6

W = 30 J

If the charge is 10 C (coulombs) and the change in Voltage is 6 V, what is the work done?

W = ½ q x V

W = .5 x 10 x 6

W = 30 J

Page 7: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

The charge on either plate of a capacitor is equal to the Capacitance x voltage

Capacitors have fixed values of capacitance.

The charge on either plate of a capacitor is equal to the Capacitance x voltage

Capacitors have fixed values of capacitance.

Page 8: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

The symbol C is used to represent capacitance.

Charge of a plate in a capacitor = Capacitance x voltage

q = C x V

The unit for capacitance is the farad (F).

1 farad = 1 coulomb per volt, or 1 F = 1 C/V

The symbol C is used to represent capacitance.

Charge of a plate in a capacitor = Capacitance x voltage

q = C x V

The unit for capacitance is the farad (F).

1 farad = 1 coulomb per volt, or 1 F = 1 C/V

Page 9: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

If the Capacitance is .0005 F (500 µF) and the Voltage is 200 V, what is the charge?

q = C x V

q = .0005 F x 200 V

q = .1 C

Most capacitors are measured in microfarads (µF) or picofarads (pF)

1 µF = 10-6 F 1pF = 10-12 F

If the Capacitance is .0005 F (500 µF) and the Voltage is 200 V, what is the charge?

q = C x V

q = .0005 F x 200 V

q = .1 C

Most capacitors are measured in microfarads (µF) or picofarads (pF)

1 µF = 10-6 F 1pF = 10-12 F

Page 10: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

Potential energy in a capacitor =

½ (Capacitance) (Voltage)2

PE = ½CV2

Potential energy in a capacitor =

½ (Capacitance) (Voltage)2

PE = ½CV2

Page 11: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

If the Capacitance is .0005 F and the Voltage is 200 V, what is the Potential Energy stored?

PE = ½CV2

PE = .5 (.0005)(200)2

PE = .5 (.0005)(40,000)

PE = 10 J

If the Capacitance is .0005 F and the Voltage is 200 V, what is the Potential Energy stored?

PE = ½CV2

PE = .5 (.0005)(200)2

PE = .5 (.0005)(40,000)

PE = 10 J

Page 12: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

If an electric charge is moving, it will create a magnetic field.If an electric charge is moving, it will create a magnetic field.

Page 13: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

Magnetic field lines with the electric current in the center:

Magnetic field lines with the electric current in the center:

Page 14: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

If two currents are in the same direction, the wires are attracted.If two currents are in the same direction, the wires are attracted.

Page 15: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

If two currents are in opposite directions, the wires are repelled.If two currents are in opposite directions, the wires are repelled.

Page 16: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

The Earth’s magnetic field is caused by currents in the molten iron core found at the center of the earth.

The Earth’s magnetic field is caused by currents in the molten iron core found at the center of the earth.

Page 17: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

The Earth’s Magnetic Field causes the Northern Lights by attracting electrically charged particles given off by the sun.

The Earth’s Magnetic Field causes the Northern Lights by attracting electrically charged particles given off by the sun.

Page 18: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

A magnetic field can also create an electric field. This is called electromagnetic induction (EMF).

A magnetic field can also create an electric field. This is called electromagnetic induction (EMF).

Page 19: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

If a loop of wires moves through a magnetic field, a current is produced in the wire.

If a loop of wires moves through a magnetic field, a current is produced in the wire.

Page 20: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

To increase the electricity created by a magnetic field:• Use a larger magnet• Use a coil (wire) with a larger diameter• Use more turns of the wire• Move the magnet faster

To increase the electricity created by a magnetic field:• Use a larger magnet• Use a coil (wire) with a larger diameter• Use more turns of the wire• Move the magnet faster

Page 21: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

A capacitor stores energy in an electric field and an inductor is an electrical device that stores energy in a magnetic field.

A capacitor stores energy in an electric field and an inductor is an electrical device that stores energy in a magnetic field.

Page 22: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

The amount of energy that an inductor can hold is called inductance.

Use the symbol L to represent Inductance and the unit is the Henry.

Equation for EMF =

-inductance (current/time)

EMF = -L (I/t)

The amount of energy that an inductor can hold is called inductance.

Use the symbol L to represent Inductance and the unit is the Henry.

Equation for EMF =

-inductance (current/time)

EMF = -L (I/t)

Page 23: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

A coil with an inductance of .0045 Henrys and a current of 1000 amps for 2 seconds. What is the EMF?

EMF = -L (I/t)

EMF = -.0045 (1000/2)

EMF = -.0045 (500)

EMF = -2.25 V

A coil with an inductance of .0045 Henrys and a current of 1000 amps for 2 seconds. What is the EMF?

EMF = -L (I/t)

EMF = -.0045 (1000/2)

EMF = -.0045 (500)

EMF = -2.25 V

Page 24: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

Potential energy in inductors (Equation) =

½ inductance (current)2

PE = ½ L I2

Potential energy in inductors (Equation) =

½ inductance (current)2

PE = ½ L I2

Page 25: Principles of Technology Waxahachie High School

Energy in Electrical SystemsEnergy in Electrical Systems

A coil with an inductance of 8 Henrys and a current of 15 A has how much PE is stored?

PE = ½ L I2

PE = ½ (8) 152

PE = ½ (8)(225)

PE = 900 J

A coil with an inductance of 8 Henrys and a current of 15 A has how much PE is stored?

PE = ½ L I2

PE = ½ (8) 152

PE = ½ (8)(225)

PE = 900 J