Exam 18: Direct-Current Circuits Sources of EMF: Part A

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A "sandwich" is constructed of two flat pieces of metal (2.00 cm on a side)with a 3.00-mm thick piece of a dielectric called rutile (κ = 100)in between them.What is the capacitance? (ε₀ = 8.85 × 10−¹² C²/N⋅m²)

(Multiple Choice)

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Question 41

Capacitor #1 has parallel plates of length L and width W,plate separation d,and is filled with dielectric with constant κ.Capacitor #2 has parallel plates of length 2L and width 2W,plate separation 2d,and is filled with dielectric with constant 2κ.If a voltage V is applied to capacitor #1 and a voltage 2V is applied to capacitor #2,which capacitor stores more energy and by what factor?

(Multiple Choice)

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Question 42

Two capacitors with capacitances of 1.0 μF and 0.50 μF,respectively,are connected in series.The system is connected to a 50-V battery.What electrical potential energy is stored in the 1.0-μF capacitor?

(Multiple Choice)

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Question 43

A 0.50-μF capacitor is connected to a 400-V battery.What potential energy is stored in the capacitor?

(Multiple Choice)

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Question 44

A pair of parallel plates,forming a capacitor,are connected to a battery.While the capacitor is still connected to the battery maintaining a constant voltage,the plates are pulled apart to triple their original distance.What is the ratio of the final energy stored to the original energy stored?

(Multiple Choice)

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Question 45

A parallel-plate capacitor has dimensions 4.0 cm × 5.0 cm.The plates are separated by a 1.0-mm thickness of paper (dielectric constant κ = 3.7).What is the charge that can be stored on this capacitor,when connected to a 6.0-V battery? (ε₀ = 8.85 × 10−¹² C²/N⋅m²)

(Multiple Choice)

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Question 46

A point charge of +3.0 μC is located at the origin of a coordinate system and a second point charge of −9.0 μC is at x = 1.00 m.What is the electric potential at the x = 0.50 m point? (k_e = 8.99 × 10⁹ N⋅m²/C²)

(Multiple Choice)

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Question 47

If an electron is accelerated from rest through a potential difference of 300 V,find its approximate speed at the end of this process.(e = 1.6 × 10−¹⁹ C;m_e = 9.1 × 10−³¹ kg)

(Multiple Choice)

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Question 48

An electron is released from rest at the negative plate of a parallel-plate capacitor.If the distance across the plates is 5.0 mm and the potential difference across the plates is 20 V,with what velocity does the electron hit the positive plate? (m_e = 9.1 × 10−³¹ kg,e = 1.6 × 10−¹⁹ C)

(Multiple Choice)

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Question 49

A 0.50-μF capacitor is connected to a 400 V battery.Find the charge on the capacitor.

(Multiple Choice)

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Question 50

A parallel plate capacitor has the voltage applied to it doubled.Is the force between the plates attractive or repulsive,and what happens to the force between the plates when the voltage is doubled?

(Multiple Choice)

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Question 51

If a doubly-ionized oxygen atom is accelerated from rest by going through a potential difference of 10 V,what will be the change in its kinetic energy?

(Multiple Choice)

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Question 52

If the plane x = 4 m is an equipotential surface,in which of the following directions can the electric field be in the region immediately adjacent to this plane?

(Multiple Choice)

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Question 53

A uniform electric field,with a magnitude of 600 N/C,is directed parallel to the positive x axis.If the potential at x = 4.0 m is 1000 V,what is the potential at x = 2.0 m?

(Multiple Choice)

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Question 54

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Exam 18: Direct-Current Circuits Sources of EMF: Part A

A "sandwich" is constructed of two flat pieces of metal (2.00 cm on a side)with a 3.00-mm thick piece of a dielectric called rutile (κ = 100)in between them.What is the capacitance? (ε0 = 8.85 × 10−12 C2/N⋅m2)

Two capacitors with capacitances of 1.0 μF and 0.50 μF,respectively,are connected in series.The system is connected to a 50-V battery.What electrical potential energy is stored in the 1.0-μF capacitor?

A 0.50-μF capacitor is connected to a 400-V battery.What potential energy is stored in the capacitor?

A pair of parallel plates,forming a capacitor,are connected to a battery.While the capacitor is still connected to the battery maintaining a constant voltage,the plates are pulled apart to triple their original distance.What is the ratio of the final energy stored to the original energy stored?

A parallel-plate capacitor has dimensions 4.0 cm × 5.0 cm.The plates are separated by a 1.0-mm thickness of paper (dielectric constant κ = 3.7).What is the charge that can be stored on this capacitor,when connected to a 6.0-V battery? (ε0 = 8.85 × 10−12 C2/N⋅m2)

A point charge of +3.0 μC is located at the origin of a coordinate system and a second point charge of −9.0 μC is at x = 1.00 m.What is the electric potential at the x = 0.50 m point? (ke = 8.99 × 109 N⋅m2/C2)

If an electron is accelerated from rest through a potential difference of 300 V,find its approximate speed at the end of this process.(e = 1.6 × 10−19 C;me = 9.1 × 10−31 kg)

An electron is released from rest at the negative plate of a parallel-plate capacitor.If the distance across the plates is 5.0 mm and the potential difference across the plates is 20 V,with what velocity does the electron hit the positive plate? (me = 9.1 × 10−31 kg,e = 1.6 × 10−19 C)

A 0.50-μF capacitor is connected to a 400 V battery.Find the charge on the capacitor.

A parallel plate capacitor has the voltage applied to it doubled.Is the force between the plates attractive or repulsive,and what happens to the force between the plates when the voltage is doubled?

If a doubly-ionized oxygen atom is accelerated from rest by going through a potential difference of 10 V,what will be the change in its kinetic energy?

If the plane x = 4 m is an equipotential surface,in which of the following directions can the electric field be in the region immediately adjacent to this plane?

A uniform electric field,with a magnitude of 600 N/C,is directed parallel to the positive x axis.If the potential at x = 4.0 m is 1000 V,what is the potential at x = 2.0 m?

Introduction

Introduction: Part A

Motion in One Dimension

Motion in One Dimension: Part A

Vectors and Two-Dimensional Motion

Vectors and Two-Dimensional Motion: Part A

The Laws of Motion

The Laws of Motion: Part A

Energy

Energy: Part A

Momentum and Collisions

Momentum and Collisions: Part A

Rotational Motion and the Law of Gravity

Rotational Motion and the Law of Gravity: Part A

Rotational Equilibrium and Rotational Dynamics

Rotational Equilibrium and Rotational Dynamics: Part A

Solids and Fluids

Solids and Fluids: Part A

Thermal Physics

Thermal Physics: Part A

Energy in Thermal Processes Heat and Internal Energy

Energy in Thermal Processes Heat and Internal Energy: Part A

The Laws of Thermodynamics Work in Thermodynamic Processes

The Laws of Thermodynamics Work in Thermodynamic Processes: Part A

Vibrations and Waves

Vibrations and Waves: Part A

Sound

Sound: Part A

Electric Forces and Electric Fields

Electric Forces and Electric Fields: Part A

Electrical Energy and Capacitance

Electrical Energy and Capacitance: Part A

Current and Resistance Electric Current

Current and Resistance Electric Current: Part A

Direct-Current Circuits Sources of EMF

Magnetism Magnets

Magnetism Magnets: Part A

Induced Voltages and Inductance

Induced Voltages and Inductance: Part A

Alternating-Current Circuits and Electromagnetic Waves

Alternating-Current Circuits and Electromagnetic Waves: Part A

Reflection and Refraction of Light

Reflection and Refraction of Light: Part A

Mirrors and Lenses

Mirrors and Lenses: Part A

Wave Optics

Wave Optics: Part A

Optical Instruments

Optical Instruments: Part A

Relativity

Relativity: Part A

Quantum Physics Blackbody Radiation and Plancks Hypothesis

Quantum Physics Blackbody Radiation and Plancks Hypothesis: Part A

Atomic Physics

Atomic Physics: Part A

Nuclear Physics

Nuclear Physics: Part A

Nuclear Energy and Elementary Particles

Nuclear Energy and Elementary Particles: Part A

Particle Collisions, Mediating Photons, and Quark Structures: Exploring the Fundamentals of Physics

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A "sandwich" is constructed of two flat pieces of metal (2.00 cm on a side)with a 3.00-mm thick piece of a dielectric called rutile (κ = 100)in between them.What is the capacitance? (ε₀ = 8.85 × 10−¹² C²/N⋅m²)

A parallel-plate capacitor has dimensions 4.0 cm × 5.0 cm.The plates are separated by a 1.0-mm thickness of paper (dielectric constant κ = 3.7).What is the charge that can be stored on this capacitor,when connected to a 6.0-V battery? (ε₀ = 8.85 × 10−¹² C²/N⋅m²)

A point charge of +3.0 μC is located at the origin of a coordinate system and a second point charge of −9.0 μC is at x = 1.00 m.What is the electric potential at the x = 0.50 m point? (k_e = 8.99 × 10⁹ N⋅m²/C²)

If an electron is accelerated from rest through a potential difference of 300 V,find its approximate speed at the end of this process.(e = 1.6 × 10−¹⁹ C;m_e = 9.1 × 10−³¹ kg)

An electron is released from rest at the negative plate of a parallel-plate capacitor.If the distance across the plates is 5.0 mm and the potential difference across the plates is 20 V,with what velocity does the electron hit the positive plate? (m_e = 9.1 × 10−³¹ kg,e = 1.6 × 10−¹⁹ C)