Electric Charge, Fields, Flux & Gauss's Law
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Questions and Answers

Two point charges, +q and -q, are placed a distance d apart. What happens to the magnitude of the force if the distance is doubled?

  • It is reduced by half.
  • It doubles.
  • It is reduced to one-quarter. (correct)
  • It remains the same.

A parallel-plate capacitor has a capacitance C. If both the area of the plates and the distance between the plates are doubled, what is the new capacitance?

  • 2*C*
  • *C*/2
  • *C* (correct)
  • 4*C*

Three resistors with resistances R1, R2, and R3 are connected in series. If R1 = 2 ohms, R2 = 3 ohms, and R3 = 5 ohms, what is the equivalent resistance of the series combination?

  • 3.33 ohms
  • 1 ohm
  • 30 ohms
  • 10 ohms (correct)

A wire carries a current of 2 A when connected to a 12 V battery. What is the resistance of the wire?

<p>6 ohms (B)</p> Signup and view all the answers

What is the electric field strength at a point where a 2 C charge experiences a force of 10 N?

<p>5 N/C (B)</p> Signup and view all the answers

A 9 V battery is connected to a circuit. How much electrical energy is used if a current of 3 A flows through the circuit for 2 minutes?

<p>3240 Joules (C)</p> Signup and view all the answers

A capacitor is charged to a potential difference of V. By what factor does the stored energy increase if the potential difference is doubled?

<p>4 (B)</p> Signup and view all the answers

Two capacitors, one with capacitance $C_1$ and another with capacitance $C_2$, are connected in parallel to a voltage source V. Which statement is true about the charge on each capacitor?

<p>The capacitor with the larger capacitance stores more charge. (A)</p> Signup and view all the answers

A dielectric material is inserted between the plates of a charged capacitor while the charge on the capacitor remains constant. What effect does this have on the voltage between the plates?

<p>The voltage decreases (D)</p> Signup and view all the answers

Which of the following actions would be LEAST effective in ensuring electrical safety?

<p>Overloading electrical circuits. (D)</p> Signup and view all the answers

Flashcards

Electric Charge

A fundamental property of matter that can be positive or negative.

Electric Field

A region around a charged object where another charge experiences a force.

Coulomb's Law

Describes the force between two point charges; proportional to the charges' product and inversely to the distance squared.

Electric Flux

A measure of the electric field passing through a surface, proportional to area and electric field's perpendicular component.

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Gauss's Law

Relates electric flux through a closed surface to the enclosed charge within it.

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Electric Potential

Work done per unit charge in moving a positive charge from infinity to a point in an electric field, measured in volts.

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Capacitance

The ability of a capacitor to store charge; measured in farads.

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Ohm's Law

Relates voltage (V), current (I), and resistance (R) in the equation V = IR.

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Electrical Power

The rate at which electrical energy is used, measured in watts.

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Current

The rate of flow of electric charge, measured in amperes.

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Study Notes

Electric Charge

  • Electric charge is a fundamental property of matter.
  • Charges can be positive or negative.
  • Like charges repel, unlike charges attract.
  • The SI unit of charge is the coulomb (C).

Electric Fields

  • An electric field is a region around a charged object where another charged object experiences a force.
  • Electric field strength is measured in Newtons per Coulomb (N/C).
  • Electric field lines show the direction of the force on a positive charge.
  • Electric field lines originate from positive charges and terminate on negative charges.

Coulomb's Law

  • Coulomb's law describes the force between two point charges.
  • Force is proportional to the product of the charges and inversely proportional to the square of the distance between them.

Electric Flux

  • Electric flux is a measure of the electric field passing through a surface.
  • It's directly proportional to the area and perpendicular component of the electric field.

Gauss's Law

  • Gauss's law relates the electric flux through a closed surface to the enclosed charge.
  • It's a powerful tool for calculating electric fields in symmetrical situations.

Electric Potential

  • Electric potential is the work done per unit charge in bringing a unit positive charge from infinity to a point in an electric field.
  • Units are volts (V).
  • Potential difference is the difference in potential between two points.

Capacitors

  • Capacitors store electrical energy in an electric field.
  • Capacitance is the ability of a capacitor to store charge.
  • The SI unit of capacitance is the farad (F).

Capacitors in Series and Parallel

  • Capacitors in series have the same charge.
  • Capacitors in parallel have the same voltage.
  • Calculations for equivalent capacitance differ based on series or parallel connections.

Dielectric

  • A dielectric material inserted between capacitor plates increases capacitance.
  • Dielectric constant quantifies this increase.

Electrical Safety

  • Electrical safety is crucial to avoid electric shock and fire.
  • Grounding is essential to safely dissipate excess charge.
  • Understand safe procedures/practices.

Current

  • Electric current is the rate of flow of charge.
  • Measured in amperes (A).

Resistance

  • Resistance opposes the flow of current.
  • Measured in ohms (Ω).
  • Materials have differing resistances.

Ohm's Law

  • Ohm's law relates voltage, current, and resistance.
  • V = IR (Voltage = Current × Resistance).

Electrical Power

  • Electrical power is the rate at which electrical energy is used.
  • Measured in watts (W).

Energy Consumption

  • Energy consumption is calculated by multiplying power and time.

Circuit Diagram

  • Circuit diagrams represent electrical circuits visually.
  • Symbols represent components.

Kirchhoff's Laws

  • Kirchhoff's laws deal with current and voltage in circuits.
  • Kirchhoff's current law (junction rule).
  • Kirchhoff's voltage law (loop rule).

Electricity and Magnetism

  • Electricity and magnetism are closely related phenomena.
  • Electromagnetic forces act over a distance.

Magnetic Field Lines

  • Magnetic field lines show the direction of the magnetic force on a north pole.
  • Magnetic field lines originate from north poles and terminate on south poles.

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Description

Explore fundamental concepts of electric charge, electric fields, and Coulomb's Law. Learn about electric flux, Gauss's Law and their importance. Understand the behavior of charged particles and electric forces.

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