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IB PHYSICS Topic 5: Electricity and Magnetism

5.1 - Electric Fields

Electric Charge:

  • Electric charge comes in two forms: positive and negative.

  • Like charges repel each other, while opposite charges attract.

  • An object with equal positive and negative charges is electrically neutral.

  • The unit of electric charge is the coulomb (C).

  • The charge of one electron is approximately 1.6 × 10^-19 C.

  • Electric charge is conserved, meaning the total charge remains constant even as charges move between objects.

  • Conductors allow the flow of electric charge due to the presence of free electrons (e.g., metals, graphite, and humans).

  • Insulators do not permit the passage of electric charge (e.g., wood, glass, and plastic).

Electric Field:

  • Electric fields can be visualized as electric field lines.

  • The direction of the field at a point corresponds to the direction of the field line passing through it, typically from the positive pole to the negative pole.


  • The density of field lines around a point represents the field's magnitude.

  • In a uniform electric field, field lines are straight, parallel, and evenly spaced.

  • Non-uniform electric fields result in curved field lines near edges.

  • Electric field strength (E) measures the force per unit charge experienced by a positive test charge placed in the field.

  • Coulomb's law describes the relationship between electric field strength, force, charges, and distance.

5.2 - Heating Effect of Electric Currents

Circuit Diagrams:

  • An electric circuit is a closed loop of interconnected electrical components.

Resistors:

  • Resistors introduce specific resistance in a circuit.

  • Variable resistors have adjustable resistance.

  • Resistors can be connected in series or in parallel.

Voltmeters:

  • Voltmeters measure the potential difference (voltage) between two points.

  • They are connected in parallel with the components being measured.

  • Ideal voltmeters have infinite resistance.

Ammeters:

  • Ammeters measure current flow.

  • They are connected in series at the measurement point.

  • Ideal ammeters have zero resistance.

Kirchhoff's Circuit Laws:

  • Kirchhoff's junction rule enforces the conservation of charge flow.

  • Kirchhoff's loop rule ensures the conservation of electric potential energy per charge.

Resistance and Ohm's Law:

  • Resistance (R) opposes electric current and is the ratio of potential difference (V) to current (I).


  • Ohm's law states that current is proportional to voltage, with a constant resistance (Ohmic conductor).

  • Non-Ohmic conductors exhibit non-linear graphs.


Resistivity:

  • Resistance depends on the object's length (L), cross-sectional area (A), and resistivity.

  • Resistivity is a material-specific constant.

Power Dissipation:

  • Power (P) dissipated in a resistor is calculated as P = IV.

  • Electrical energy is converted into heat or other forms of energy.


5.3 - Electric Cells


Cells:

  • A cell is an energy source in a circuit, creating an electric potential difference.

  • A battery consists of connected cells.

  • Internal resistance affects the EMF  (electromotive force) of a cell.

Secondary Cells:

  • Secondary cells, or rechargeable batteries, can be recharged by reversing the current flow.

Terminal Potential Difference:

  • The potential difference at a cell's terminals is less than its EMF due to internal resistance.

Electromotive Force (emf):

  • The emf is the energy supplied per unit charge by a cell.

  • It is measured in volts (V).


5.4 - Magnetic Effects of Electric Currents


Magnetic Fields:

  • Magnetic fields result from magnets or moving charges.

  • Magnets or electric currents experience forces in magnetic fields like electric charges in electric fields.

  • Magnetic field strength is measured in tesla (T).

Magnetic Field Patterns:

  • Magnetic fields are represented using magnetic field lines.

  • The direction and density of field lines indicate the field's strength and direction.

  • Magnetic fields can be viewed in 3D with dots (out of the page) and crosses (into the page)

Magnetic Force:

  • The force on a current-carrying wire in a magnetic field is calculated using the formula F = BIL, where B is the magnetic field, I is the current, and L is the length of the wire.

  • The force acts perpendicularly to both the wire and the field.

  • The magnetic force on a moving charge is given by F = qvB, where q is the charge, v is the velocity, and B is the magnetic field.

  • The direction of conventional current is opposite to electron flow.

  • Magnetic forces cause the charge to follow a circular path, acting as a centripetal force.

  • No work is done on the charge by the magnetic field.

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IB PHYSICS Topic 5: Electricity and Magnetism

5.1 - Electric Fields

Electric Charge:

  • Electric charge comes in two forms: positive and negative.

  • Like charges repel each other, while opposite charges attract.

  • An object with equal positive and negative charges is electrically neutral.

  • The unit of electric charge is the coulomb (C).

  • The charge of one electron is approximately 1.6 × 10^-19 C.

  • Electric charge is conserved, meaning the total charge remains constant even as charges move between objects.

  • Conductors allow the flow of electric charge due to the presence of free electrons (e.g., metals, graphite, and humans).

  • Insulators do not permit the passage of electric charge (e.g., wood, glass, and plastic).

Electric Field:

  • Electric fields can be visualized as electric field lines.

  • The direction of the field at a point corresponds to the direction of the field line passing through it, typically from the positive pole to the negative pole.


  • The density of field lines around a point represents the field's magnitude.

  • In a uniform electric field, field lines are straight, parallel, and evenly spaced.

  • Non-uniform electric fields result in curved field lines near edges.

  • Electric field strength (E) measures the force per unit charge experienced by a positive test charge placed in the field.

  • Coulomb's law describes the relationship between electric field strength, force, charges, and distance.

5.2 - Heating Effect of Electric Currents

Circuit Diagrams:

  • An electric circuit is a closed loop of interconnected electrical components.

Resistors:

  • Resistors introduce specific resistance in a circuit.

  • Variable resistors have adjustable resistance.

  • Resistors can be connected in series or in parallel.

Voltmeters:

  • Voltmeters measure the potential difference (voltage) between two points.

  • They are connected in parallel with the components being measured.

  • Ideal voltmeters have infinite resistance.

Ammeters:

  • Ammeters measure current flow.

  • They are connected in series at the measurement point.

  • Ideal ammeters have zero resistance.

Kirchhoff's Circuit Laws:

  • Kirchhoff's junction rule enforces the conservation of charge flow.

  • Kirchhoff's loop rule ensures the conservation of electric potential energy per charge.

Resistance and Ohm's Law:

  • Resistance (R) opposes electric current and is the ratio of potential difference (V) to current (I).


  • Ohm's law states that current is proportional to voltage, with a constant resistance (Ohmic conductor).

  • Non-Ohmic conductors exhibit non-linear graphs.


Resistivity:

  • Resistance depends on the object's length (L), cross-sectional area (A), and resistivity.

  • Resistivity is a material-specific constant.

Power Dissipation:

  • Power (P) dissipated in a resistor is calculated as P = IV.

  • Electrical energy is converted into heat or other forms of energy.


5.3 - Electric Cells


Cells:

  • A cell is an energy source in a circuit, creating an electric potential difference.

  • A battery consists of connected cells.

  • Internal resistance affects the EMF  (electromotive force) of a cell.

Secondary Cells:

  • Secondary cells, or rechargeable batteries, can be recharged by reversing the current flow.

Terminal Potential Difference:

  • The potential difference at a cell's terminals is less than its EMF due to internal resistance.

Electromotive Force (emf):

  • The emf is the energy supplied per unit charge by a cell.

  • It is measured in volts (V).


5.4 - Magnetic Effects of Electric Currents


Magnetic Fields:

  • Magnetic fields result from magnets or moving charges.

  • Magnets or electric currents experience forces in magnetic fields like electric charges in electric fields.

  • Magnetic field strength is measured in tesla (T).

Magnetic Field Patterns:

  • Magnetic fields are represented using magnetic field lines.

  • The direction and density of field lines indicate the field's strength and direction.

  • Magnetic fields can be viewed in 3D with dots (out of the page) and crosses (into the page)

Magnetic Force:

  • The force on a current-carrying wire in a magnetic field is calculated using the formula F = BIL, where B is the magnetic field, I is the current, and L is the length of the wire.

  • The force acts perpendicularly to both the wire and the field.

  • The magnetic force on a moving charge is given by F = qvB, where q is the charge, v is the velocity, and B is the magnetic field.

  • The direction of conventional current is opposite to electron flow.

  • Magnetic forces cause the charge to follow a circular path, acting as a centripetal force.

  • No work is done on the charge by the magnetic field.

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