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Electrical Energy and Capacitance. Chapter 18. Electrical Potential Energy. Electrical Potential Energy - potential energy associated with an object due to its position relative to a source of electric force. Electrical Potential Energy. Electrical Potential Energy in a Uniform Electric Field.

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electrical potential energy
Electrical Potential Energy
  • Electrical Potential Energy - potential energy associated with an object due to its position relative to a source of electric force.
electrical potential energy1
Electrical Potential Energy
  • Electrical Potential Energy in a Uniform Electric Field
electrical potential energy2
Electrical Potential Energy
  • Electrical Potential Energy for a Pair of Charges
potential difference section 18 2
Potential DifferenceSection 18-2
  • Electric Potential – at any point in an E-field is the potential energy of a test charge at that location divided by the value of that test charge.
potential difference
Potential Difference
  • Potential Difference – the change in electrical potential energy associated with a charged particle divided by the charge of the particle.
potential difference1
Potential Difference
  • Potential Difference in a Uniform Electric Field
potential difference2
Potential Difference
  • Potential Difference between an infinite distance and some location near a point charge
problems section 18 2
ProblemsSection 18-2
  • Two large, charged parallel plates are 4.0 cm apart. The magnitude of the electric field between them is 625 N/C. a) What is the potential difference between the plates? b) What work is done moving a charge equal to that of one electron from one plate to another?
problems section 18 21
ProblemsSection 18-2
  • A voltmeter measures the potential difference between two large parallel plates to be 60.0 V. The plates are 3.0 cm apart. What is the magnitude of the electric field between them?
problems section 18 22
ProblemsSection 18-2
  • The electric field intensity between two large, charged, parallel metal plates is 8000 N/C. The plates are 0.05 m apart. What is the potential difference between them?
problems section 18 23
ProblemsSection 18-2
  • A voltmeter reads 500 V when placed across two charged, parallel plates. The plates are 0.020 m apart. What is the electric field between them?
problems section 18 24
ProblemsSection 18-2
  • What potential difference is applied to two metal plates 0.500 m apart if the electric field between them is 2500 N/C?
problems section 18 25
ProblemsSection 18-2
  • What work is done when 5.0 C is raised in potential by 1.5 V?
problems section 18 26
ProblemsSection 18-2
  • Using a zero reference potential at infinity, determine the amount by which a point charge of 4.0 x 10-8 C alters the electric potential at a spot 1.2 m away when the charge is (a) positive and (b) negative.
problems section 18 27
ProblemsSection 18-2
  • At locations A and B in the figure, find the total electric potential due to the two point charges.
capacitance section 18 3
CapacitanceSection 18-3
  • Capacitance – the ability of a conductor to store energy in the form of electrically separated charges.
capacitance section 18 31
CapacitanceSection 18-3
  • Capacitance for a Parallel-Plate Capacitor
capacitance section 18 32
CapacitanceSection 18-3
  • Electrical Potential Energy stored in a charged capacitor
problems section 18 3
ProblemsSection 18-3
  • 1. (a) How much charge is on each plate of a 4.00 µF capacitor when it is connected to a 12.0 V battery?

(b) If the same capacitor is connected to a 1.50 V battery, what charge is stored?

problems section 18 31
ProblemsSection 18-3
  • 2. A parallel-plate capacitor has an area A = 2.00 x 10-4 m2 and a plate separation d = 1.00 mm. Find the capacitance.
problems section 18 32
ProblemsSection 18-3
  • 3. If the voltage on a capacitor doubles, the amount of charge that can be stored by that capacitor __________.
  • A. doubles
  • B. is halved
  • C. is quadrupled
  • D. is unchanged
  • E. None of these
problems section 18 33
ProblemsSection 18-3
  • 4. How much charge is stored by a 1.5 µF capacitor when 1.0 V is maintained across its terminals?
  • A. 1.0 µC
  • B. 0.67 MC
  • C. 1.0 µF
  • D. 1.5 x 10-6 C
  • E. none of these
problems section 18 34
ProblemsSection 18-3
  • 5. How might you double the capacitance of a parallel plate capacitor?
  • A. double the area and the separation
  • B. double the area and halve the separation
  • C. double either the dielectric constant, or the area, or halve the separation
  • D. double either the dielectric constant, the area or the separation
  • E. none of these
problems section 18 35
ProblemsSection 18-3
  • 6. How much energy is stored in a 3.0 µF capacitor when it is placed across the terminals of a 12 V battery?
  • A. 4.3 x 10-4 J
  • B. 1.8 x 10-5 J
  • C. 24 x 106 J
  • D. 2.2 x 10-4 J
  • E. none of these