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Questions and Answers
What are the two types of electric charges?
What are the two types of electric charges?
How does the total charge of a system with multiple charges get calculated?
How does the total charge of a system with multiple charges get calculated?
What is the principle of conservation of charge?
What is the principle of conservation of charge?
What does the quantisation of charge indicate?
What does the quantisation of charge indicate?
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What is the charge of a proton denoted as?
What is the charge of a proton denoted as?
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What happens to the charge when two bodies are rubbed together?
What happens to the charge when two bodies are rubbed together?
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What unit is used to express electric charge in the International System of Units (SI)?
What unit is used to express electric charge in the International System of Units (SI)?
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What is charge compared to mass in terms of its properties?
What is charge compared to mass in terms of its properties?
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What happens to the gold leaves of an electroscope when a charged object touches the metal knob?
What happens to the gold leaves of an electroscope when a charged object touches the metal knob?
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How does a neutral body become charged?
How does a neutral body become charged?
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Why do insulators hold charge in one place instead of distributing it?
Why do insulators hold charge in one place instead of distributing it?
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Which of the following materials is considered a conductor?
Which of the following materials is considered a conductor?
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What happens to the gold leaves in a gold-leaf electroscope when a charged object touches its metal knob?
What happens to the gold leaves in a gold-leaf electroscope when a charged object touches its metal knob?
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What type of charge does a glass rod acquire when rubbed with silk?
What type of charge does a glass rod acquire when rubbed with silk?
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How can a neutral body be charged positively?
How can a neutral body be charged positively?
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Which of the following materials is classified as a conductor?
Which of the following materials is classified as a conductor?
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What characterizes semiconductors compared to conductors and insulators?
What characterizes semiconductors compared to conductors and insulators?
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What is the role of electrons in charging a solid material?
What is the role of electrons in charging a solid material?
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What is the primary reason why insulators do not conduct electricity well?
What is the primary reason why insulators do not conduct electricity well?
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When a charged insulator is touched, what is the expected outcome?
When a charged insulator is touched, what is the expected outcome?
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What occurs when charge is put on an insulator?
What occurs when charge is put on an insulator?
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Which process is responsible for charging a glass rod when rubbed with silk?
Which process is responsible for charging a glass rod when rubbed with silk?
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What characterizes semiconductors in comparison to conductors and insulators?
What characterizes semiconductors in comparison to conductors and insulators?
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What is the role of the gold-leaf electroscope in detecting charges?
What is the role of the gold-leaf electroscope in detecting charges?
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Why does a metal object not become electrified when combing dry hair?
Why does a metal object not become electrified when combing dry hair?
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How do charged bodies typically acquire charge?
How do charged bodies typically acquire charge?
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What is a characteristic of electric charge?
What is a characteristic of electric charge?
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How are multiple point charges combined to determine total charge?
How are multiple point charges combined to determine total charge?
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What does the conservation of charge imply?
What does the conservation of charge imply?
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Which statement reflects the quantization of charge?
Which statement reflects the quantization of charge?
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What happens to the charge of two bodies when they are rubbed together?
What happens to the charge of two bodies when they are rubbed together?
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What distinguishes mass from charge?
What distinguishes mass from charge?
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What is the elementary charge associated with an electron?
What is the elementary charge associated with an electron?
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What is true about point charges in an electric field?
What is true about point charges in an electric field?
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What would happen in an isolated system concerning charges?
What would happen in an isolated system concerning charges?
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What is the sum of charges +1, +2, -3, +4, and -5?
What is the sum of charges +1, +2, -3, +4, and -5?
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What defines the basic unit of charge, denoted by e?
What defines the basic unit of charge, denoted by e?
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What is the value of the basic unit of charge in the International System of Units?
What is the value of the basic unit of charge in the International System of Units?
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What happens to the total charge during the creation of a proton and an electron from a neutron?
What happens to the total charge during the creation of a proton and an electron from a neutron?
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What does the quantisation of charge imply?
What does the quantisation of charge imply?
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According to the quantisation of charge, the total charge on a body containing ne electrons and np protons is given by which equation?
According to the quantisation of charge, the total charge on a body containing ne electrons and np protons is given by which equation?
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Who first suggested the concept of quantisation of charge through the laws of electrolysis?
Who first suggested the concept of quantisation of charge through the laws of electrolysis?
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What does the term 'grainy nature of charge' refer to?
What does the term 'grainy nature of charge' refer to?
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At the macroscopic level, charges are typically measured in which units?
At the macroscopic level, charges are typically measured in which units?
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What is the basic unit of charge represented by e?
What is the basic unit of charge represented by e?
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What is the term used to describe that electric charge is always an integral multiple of the basic charge unit?
What is the term used to describe that electric charge is always an integral multiple of the basic charge unit?
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How many electrons are roughly contained in a charge of -1 C?
How many electrons are roughly contained in a charge of -1 C?
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What is the value of the elementary charge e in coulombs?
What is the value of the elementary charge e in coulombs?
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What is the relationship of total charge to electrons and protons in a body?
What is the relationship of total charge to electrons and protons in a body?
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Which of the following units is equivalent to 1 µC?
Which of the following units is equivalent to 1 µC?
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What is the common perception of charge at the macroscopic level compared to its quantized nature?
What is the common perception of charge at the macroscopic level compared to its quantized nature?
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Who first suggested the quantisation of charge based on experimental laws?
Who first suggested the quantisation of charge based on experimental laws?
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What device did Coulomb invent to measure electric force?
What device did Coulomb invent to measure electric force?
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What is the relationship established by Coulomb’s law?
What is the relationship established by Coulomb’s law?
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What does the variable 'k' in Coulomb's law represent?
What does the variable 'k' in Coulomb's law represent?
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How did Coulomb determine the charge distribution on multiple spheres?
How did Coulomb determine the charge distribution on multiple spheres?
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What happens to charges when two identical uncharged spheres are put in contact?
What happens to charges when two identical uncharged spheres are put in contact?
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What is the force experienced by a charge of 1 C placed 1 m from another charge of the same magnitude in vacuum?
What is the force experienced by a charge of 1 C placed 1 m from another charge of the same magnitude in vacuum?
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What assumption is implicit in the concept of charge additivity?
What assumption is implicit in the concept of charge additivity?
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At what scale was Coulomb's law established, according to the text?
At what scale was Coulomb's law established, according to the text?
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What was one of the uses of the torsion balance besides measuring electric force?
What was one of the uses of the torsion balance besides measuring electric force?
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What can Coulomb's law provide in terms of defining charge?
What can Coulomb's law provide in terms of defining charge?
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How many seconds are required to accumulate a charge of 1 C if 10⁹ electrons move out every second?
How many seconds are required to accumulate a charge of 1 C if 10⁹ electrons move out every second?
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What is the total charge present in a cup of water assumed to weigh 250 g?
What is the total charge present in a cup of water assumed to weigh 250 g?
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What is Coulomb's law primarily concerned with?
What is Coulomb's law primarily concerned with?
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What device did Coulomb use to measure the force between charged spheres?
What device did Coulomb use to measure the force between charged spheres?
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In Coulomb's law formula, what does the variable 'r' represent?
In Coulomb's law formula, what does the variable 'r' represent?
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How many electrons are there in one cubic centimeter of copper?
How many electrons are there in one cubic centimeter of copper?
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What is the molecular mass of water used to find the number of molecules in one cup?
What is the molecular mass of water used to find the number of molecules in one cup?
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What does the twist of the torsion wire indicate when measuring the force between charged spheres?
What does the twist of the torsion wire indicate when measuring the force between charged spheres?
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What principle did Coulomb use to find the charges on the metallic spheres?
What principle did Coulomb use to find the charges on the metallic spheres?
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Which device did Coulomb invent to measure electrical forces?
Which device did Coulomb invent to measure electrical forces?
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What does Coulomb's law express about the force between two charges?
What does Coulomb's law express about the force between two charges?
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What happens when two identical charged spheres are placed in contact?
What happens when two identical charged spheres are placed in contact?
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What is the value of the constant k in Coulomb's law in SI units?
What is the value of the constant k in Coulomb's law in SI units?
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What can be inferred about Coulomb's law concerning the magnitude of charge?
What can be inferred about Coulomb's law concerning the magnitude of charge?
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What is the nature of the force experienced by two identical charges placed 1 meter apart in a vacuum?
What is the nature of the force experienced by two identical charges placed 1 meter apart in a vacuum?
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Which of the following statements about Coulomb's law is correct?
Which of the following statements about Coulomb's law is correct?
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Which scientist's work anticipated Coulomb's law before he published it?
Which scientist's work anticipated Coulomb's law before he published it?
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What characteristic defines a torsion balance?
What characteristic defines a torsion balance?
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How many electrons are equivalent to a total charge of 1 C, given that one electron has a charge of approximately $1.6 imes 10^{-19}$ C?
How many electrons are equivalent to a total charge of 1 C, given that one electron has a charge of approximately $1.6 imes 10^{-19}$ C?
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What is the total charge contained in a cup of water with a mass of 250 g?
What is the total charge contained in a cup of water with a mass of 250 g?
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What does Coulomb's law state about the force between two point charges?
What does Coulomb's law state about the force between two point charges?
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Why are charged bodies treated as point charges in some scenarios?
Why are charged bodies treated as point charges in some scenarios?
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What method did Coulomb use to measure the force between charged bodies?
What method did Coulomb use to measure the force between charged bodies?
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What is the approximate number of electrons in one cubic centimeter of copper?
What is the approximate number of electrons in one cubic centimeter of copper?
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What relationship does Coulomb's law express regarding force and charge magnitudes?
What relationship does Coulomb's law express regarding force and charge magnitudes?
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If one charge is doubled while the distance remains the same, what happens to the force between the two charges according to Coulomb's law?
If one charge is doubled while the distance remains the same, what happens to the force between the two charges according to Coulomb's law?
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Study Notes
Electric Charges and Detection
- The gold-leaf electroscope is an apparatus that detects charge by using a vertical metal rod with two thin gold leaves.
- When a charged object touches the metal knob, charge flows to the leaves causing them to diverge; the degree of divergence indicates the amount of charge.
- Matter is typically electrically neutral, but contains balanced charges at the atomic and molecular level.
- Electric forces underpin various physical interactions, such as adhesive forces and surface tension.
Charging Mechanism
- Electrifying a neutral body involves adding or removing charge; charged bodies present an excess or deficit of charge.
- In solids, loosely bound electrons can be transferred to charge bodies positively (by losing electrons) or negatively (by gaining electrons).
- Rubbing a glass rod with silk transfers electrons from the rod to the silk, resulting in a positively charged rod and a negatively charged silk without creating new charges.
Conductors and Insulators
- Conductors allow the easy passage of electricity; examples include metals and the human body.
- Insulators resist electricity flow; non-metals like glass, porcelain, plastic, and wood fall into this category.
- Charges in conductors distribute across their surface, while those in insulators remain in one place.
- Semiconductors have intermediate properties between conductors and insulators.
Basic Properties of Electric Charge
- Two types of electric charges exist: positive and negative, often cancelling each other's effects.
- In point charge approximation, the charge is considered to be concentrated at one point in space.
Additivity and Conservation of Charge
- The total charge in a system can be found by algebraically adding individual charges (q₁ and q₂).
- Charge is conserved; when bodies are charged through electron transfer, there’s no creation or destruction of total charged particles.
- Charges may redistribute in an isolated system but the total remains constant.
Quantisation of Charge
- Charge exists in discrete units, primarily associated with electrons and protons; charge on an electron is -e, while that on a proton is +e.
- The quantisation of charge was experimentally verified by Robert Millikan in 1912.
- The basic unit of charge, denoted as e, is 1.602192 × 10⁻¹⁹ C (Coulomb).
Practical Implications of Charge
- The charge of 1 C is substantial; for example, it takes about 200 years to acquire this charge if 10⁹ electrons move out of a body every second.
- A cubic centimeter of copper contains approximately 2.5 × 10²⁴ electrons.
Coulomb’s Law
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Coulomb's law quantitatively describes the force between two point charges, influenced by the charges' magnitudes and the distance separating them.
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The formula for the force (F) between two point charges q₁ and q₂ separated by distance r is:
$F = k \frac{q₁ q₂}{r²}$
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Coulomb used a torsion balance to measure the force between charged metallic spheres, observing varying forces based on distance and charge magnitudes.### Charge Accumulation and Time Calculation
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Accumulating a charge of 1 coulomb (C) from a body releasing 10^9 electrons per second takes approximately 200 years.
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Charge of 10^9 electrons: (1.6 \times 10^{-19} \times 10^9 = 1.6 \times 10^{-10} C) per second.
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A cubic centimeter of copper contains roughly (2.5 \times 10^{24}) electrons.
Analysis of Water Charges
- A cup of water (250 g) consists of about (1.34 \times 10^{5} C) of total charge, combining positive and negative charges.
- The molecular mass of water is 18 g, and one mole contains (6.02 \times 10^{23}) molecules.
Coulomb's Law Fundamentals
- Coulomb's Law states that the force (F) between two point charges (q_1) and (q_2) separated by distance (r) is given by: [ F = k \frac{|q_1 q_2|}{r^2} ]
- (k) is a constant, approximately (9 \times 10^{9} , \text{Nm}^2/\text{C}^2) in SI units.
- If (q_1 q_2 = 1C) at (r = 1m), the force (F) equals (9 \times 10^{9} N).
Coulomb's Methodology
- Coulomb used a torsion balance to measure electric forces between metallic spheres.
- Charges on the spheres were initially unknown; he established a method of charge division by contact with identical spheres.
- He varied distances and charges systematically to derive the inverse square law.
Characteristics of Coulomb's Law
- Established both at macroscopic (normal sizes) and subatomic levels (approximately (r \sim 10^{-15} m)).
- Implicitly assumes charge additivity and conservation principles.
Historical Context of Coulomb
- Charles Augustin de Coulomb (1736-1806), a French physicist, made significant advancements in electrostatics after retiring to conduct research in Paris.
- His torsion balance, employed to measure electrical attraction and repulsion, significantly contributed to the formulation of Coulomb's law.
- Previous anticipations of the inverse square law existed from scientists like Priestley and Cavendish, though Cavendish's results were not published.
Studying That Suits You
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Description
Test your understanding of electric charges and fields with this quiz focusing on the gold-leaf electroscope and charge acquisition in materials. Explore the fundamental principles of static electricity and the behavior of charged bodies. Perfect for students studying electricity in physics.