Electric Charge, Forces and Coulomb's Law

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Questions and Answers

Which of the following statements is true regarding the force between electric charges?

  • Like charges attract each other.
  • Opposite charges repel each other.
  • The force is directly proportional to the distance between the charges.
  • The force is inversely proportional to the square of the distance between the charges. (correct)

The electric charge of an isolated system can be changed.

False (B)

What experimental evidence supports the quantization of electric charge?

Millikan's oil drop experiment

Materials with plenty of free electrons are classified as ______.

<p>conductors</p> Signup and view all the answers

What is the role of grounding (earthing) in transferring electric charge?

<p>It provides a pathway for excess charge to flow to or from the Earth. (C)</p> Signup and view all the answers

The electric field strength is a scalar quantity.

<p>False (B)</p> Signup and view all the answers

According to Coulomb's Law, what parameters affect the magnitude of the electrostatic force between two charged particles?

<p>The magnitude of the charges and the distance between them</p> Signup and view all the answers

Electric field lines point away from ______ charges and towards ______ charges.

<p>positive, negative</p> Signup and view all the answers

What happens to the charge on two identical conducting spheres when they touch?

<p>The charge distributes equally between the two spheres. (C)</p> Signup and view all the answers

Electric field lines can cross each other.

<p>False (B)</p> Signup and view all the answers

What is electrostatic induction?

<p>Charge redistribution in an object caused by the proximity of another charged object</p> Signup and view all the answers

The electric field inside a conductor in electrostatic equilibrium is ______.

<p>zero</p> Signup and view all the answers

Which of the following processes involves the direct transfer of electrons?

<p>Charging by friction (D)</p> Signup and view all the answers

The direction of the electric field is defined as the direction of the force on a negative test charge.

<p>False (B)</p> Signup and view all the answers

What is the purpose of a gold-leaf electroscope?

<p>To detect the presence and sign of electric charge</p> Signup and view all the answers

The force experienced by a charge in an electric field is given by $F = ______$

<p>Eq</p> Signup and view all the answers

Which of the following is the correct formula for Coulomb's Law?

<p>$F = k \frac{q_1 q_2}{r^2}$ (D)</p> Signup and view all the answers

The value of k in Coulomb's Law is approximately $9.0 \times 10^9 Nm^2C^{-2}$.

<p>True (A)</p> Signup and view all the answers

In which direction will an electron move if released in a uniform electric field?

<p>Opposite to the direction of the electric field</p> Signup and view all the answers

The electric field strength (E) is defined as the ______ per unit charge.

<p>force</p> Signup and view all the answers

What does the Millikan oil drop experiment demonstrate?

<p>The quantization of electric charge. (D)</p> Signup and view all the answers

Insulators contain plenty of free electrons which can move when an electric field is present.

<p>False (B)</p> Signup and view all the answers

What is the relationship between electric field line density and electric field strength?

<p>The higher the density the stronger the field</p> Signup and view all the answers

If two identical conducting spheres with charges of 4 μC and -12 μC touch, the final charge on each sphere after separation will be ______ μC.

<p>-4</p> Signup and view all the answers

Match the term with the description

<p>Conductor = Materials with plenty of free electrons which can move when an electric field is present Insulator = Materials with very few free electrons Electric Field Lines = Represents the direction of the electrical force on a positive charge Grounding = provides a pathway for excess charge to flow to or from the Earth</p> Signup and view all the answers

What is the potential energy released if a charged particle is moved by the electric field from one potential $V_a$ to another $V_b$?

<p>The potential energy is released (B)</p> Signup and view all the answers

The electric field from a single point charge Q at a point a distance r away is represented by $E_p = k\frac{Q}{r^2}$

<p>True (A)</p> Signup and view all the answers

What must be performed in order to move a charge of 5.0 µC from the negative to the positive plate if a potential difference of 250 V is established between the plates?

<p>$W = 5.0 \times 10^{-6} \times 250 = 1.25 \times 10^{-3} J$</p> Signup and view all the answers

An electron accelerated through a potential difference of 1 V gains an energy of 1 ______, which is equivalent to $1.6 \times 10^{-19}$ Joules.

<p>eV</p> Signup and view all the answers

What is the direction of the electric field inside a charged parallel-plate capacitor, assuming the plates are large and closely spaced?

<p>Uniform and perpendicular to the plates. (A)</p> Signup and view all the answers

Flashcards

Direction of Electric Forces

The direction of attraction or repulsion between electric charges. Opposite charges attract, like charges repel.

Coulomb's Law

Describes the force between two point charges as proportional to the product of the charges and inversely proportional to the square of the distance between them.

Conservation of Electric Charge

The total electric charge in an isolated system remains constant. Charge is neither created nor destroyed.

Electric Field Strength

The electric field strength is the force per unit charge experienced by a small positive test charge.

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Electric Field Lines

Lines that represent the direction and strength of an electric field. Closer lines indicate a stronger field.

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Field Line Density

The number of field lines per unit area. Higher density signifies a stronger electric field.

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Uniform Electric Field

A region where the electric field has constant magnitude and direction.

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Non-Crossing Field Lines

Electric field lines cannot cross because the electric field at a point can only have one direction.

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Conductors and Free Electrons

The property of conductors containing plenty of free electrons which can move when an electric field is present.

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Conservation of Charge

The principle that the total electric charge of an isolated system remains constant.

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Charging by Induction

The process of redistributing charges in an object without direct contact, causing separation of charge.

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Work and Potential Difference

The work done to move a charge q from point A to point B in an electric field, equal to q multiplied by the potential difference.

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Potential Energy Release

The potential energy released when a charged particle moves in an electric field from one potential to another.

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Electronvolt

Describes the work done when a charge equal to one electron charge is taken across a potential difference of one volt; equal to 1.6 x 10^-19 J.

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Study Notes

  • Electric and magnetic fields exist
  • Standard and higher level students should study this for 8 hours

Electric Charge Types and Forces

  • There are two types of electric charge
  • The direction of forces between the two types should be understood
  • Like charges repel, opposite charges attract

Coulomb's Law

  • Coulomb's Law is F = k(q1q2/r^2) for charged bodies treated as point charges
  • k = 1/(4πε₀)
  • It describes the force between two charged objects
  • k is Coulomb's Law Constant at 9.0 × 10^9 Nm²C⁻²
  • ε₀ is the permittivity of free space, equaling 8.85 x 10⁻¹² Fm⁻¹

Electric Charge

  • Electric charge is measured in Coulombs (C)
  • One electron has a charge of -1.6 x 10⁻¹⁹ C
  • Electric charge is conserved; the total charge of an isolated system remains constant
  • Atoms have the same number of protons and electrons and are NEUTRAL overall
  • Electrons are on the outside of atoms so are able to move around (causing electrical effects)
  • Electric charge can be transferred between bodies using friction, electrostatic induction, and contact, including grounding

Conductors and Insulators

  • Conductors contain plenty of free electrons that can move when an electric field is present
  • Insulators contain very few free electrons
  • Objects can gain charge by friction, which involves the removal or deposition of electrons

Charging by Electrostatic Induction

  • Objects can be charged by electrostatic induction
  • A charged rod brought near an insulated conductor forces electrons to move within the conductor
  • If the conductor is earthed, electrons will flow into the earth, leaving the conductor positively charged

Gold-Leaf Electroscope

  • The gold-leaf electroscope can be used to detect charge
  • It includes a metal cap, metal rod, insulating plug, metal plate, gold leaf, glass window, and a wooden or metal case that is earthed
  • A negatively charged rod placed near the ball of the electroscope forces electrons down to the foil, causing it to diverge.
  • If the electroscope is earthed and the rod then removed, the electroscope remains positively charged; a positively charged rod would result in a negatively charged electroscope.

Electric Field Strength

  • Electric field strength is given by E = F/q
  • Electric field lines show the direction of the field and force on a positive charge
  • The closer the lines, the stronger the field
  • Electric field lines cannot cross because the field can't be in two directions at once
  • The more lines shown starting from a charge, the greater the charge
  • The electric field from a single point charge Q at a distance r is E = kQ/r²
  • In electrostatics, the electric field is zero inside any conducting body because charges are not in motion

Uniform Electric Fields

  • An uniform electric field has constant magnitude and direction
  • A uniform electric field is generated between two oppositely charged parallel plates
  • Field lines curve near the edges, indicating the field is no longer uniform there (edge effect)
  • Uniform electric field strength between parallel plates: E = V/d

Millikan's Experiment

  • Millikan's experiment (1910-1911) measured the charge of an electron
  • Oil drops charged by X-rays were allowed to enter a uniform electric field between parallel plates
  • The weight of the oil drop is balanced by the electric force: mg = qE
  • To measure charge, Millikan needed to find the mass of the oil drop
  • He measured the terminal speed of the oil drop to determine its radius, mass, and charge
  • He found that each charge was an integral multiple of a basic unit, e = 1.6 x 10⁻¹⁹ C

Electric Potential

  • Work done to move a charge q from point A to point B: W = q(VB - VA)
  • Voltage is energy used per unit charge (joules per coulomb)

Electronvolt

  • Electronvolt is the work done when a charge equal to one electron charge is taken across a potential difference of one volt
  • 1 eV = 1.6 × 10⁻¹⁹ C x 1 V = 1.6 x 10⁻¹⁹ J
  • In calculations, electronvolts must be converted to joules, the SI unit of energy

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