Electric Current and Conductor Properties
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What is the effect of establishing a constant, steady electric field inside a conductor?

  • It causes the conductor to become an insulator.
  • It has no impact on the motion of charges within the conductor.
  • It results in a net displacement of charges, known as drift. (correct)
  • It causes the random motion of charges to cease entirely.
  • The drift velocity of a particle represents the average speed at which the particle travels through a conductor.

    True (A)

    According to convention, what type of charge movement defines the direction of current?

    positive

    The direction of conventional current is the same as the direction of the ______ field.

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

    Match the scenario with the expected motion of charges:

    <p>Charges in a conductor without an electric field = Random motion Positive charges in a conductor with an electric field = Net displacement in the direction of the electric field Negative charges in a conductor with an electric field = Net displacement opposite to the direction of the electric field</p> Signup and view all the answers

    Two geometrically similar objects are connected to the same potential difference. What could cause them to yield different currents?

    <p>The objects have different resistances. (D)</p> Signup and view all the answers

    Resistivity is a property of an object, while resistance is a property of a material.

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

    What is the state of the electric field within a conductor under electrostatic conditions?

    <p>Zero everywhere (C)</p> Signup and view all the answers

    What is the SI unit for resistance, and what symbol represents it?

    <p>Ohm ($\Omega$)</p> Signup and view all the answers

    In electrostatic situations, electrons within a conductor exhibit a net flow of charge in a specific direction.

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

    What is the primary characteristic of electron motion in a conductor when no electric field is applied?

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

    The relationship between voltage (V), current (I), and resistance (R) is defined by Ohm's Law: V = I * ______

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

    Which of the following describes the function of a resistor in a circuit?

    <p>To oppose the flow of current. (B)</p> Signup and view all the answers

    Under electrostatic conditions within a conductor, the electric field equals ______.

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

    How does establishing a constant, steady electric field inside a conductor influence the movement of charges?

    <p>Induces a directed flow of charge. (D)</p> Signup and view all the answers

    The motion of charges within a conductor is always consistent, regardless of the external conditions.

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

    What term describes the motion of charge from one region to another?

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

    Match the condition to the behavior of electrons:

    <p>Electrostatic Condition = No net flow of charge No electric field = Random motion Constant electric field = Directed flow of charge</p> Signup and view all the answers

    According to Ohm's Law, what relationship exists between current and potential difference in a device?

    <p>Directly proportional (D)</p> Signup and view all the answers

    The resistivity of a material depends on its size and shape.

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

    What two primary factors influence the resistivity of a real object?

    <p>Type of material, temperature of material</p> Signup and view all the answers

    Ohm's Law states that the current through a device is ________ proportional to the potential difference applied to the device.

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

    If the temperature of a conductor increases, what generally happens to its resistivity?

    <p>Resistivity increases. (C)</p> Signup and view all the answers

    Match the material type with how it relates to Ohm's Law:

    <p>Conductors = Ohm's Law applies under specific conditions. Semiconductors = Ohm's Law only applies under limited circumstances. Superconductors = Ohm's Law is not applicable.</p> Signup and view all the answers

    A copper wire has a cross-sectional area of 1.31 $mm^2$ and a resistivity of 1.69 × 10−8 [$\Omega \cdot m$]. If its length is doubled, what happens to its resistance?

    <p>Resistance is doubled. (A)</p> Signup and view all the answers

    Ohm's Law is a fundamental law of nature that applies universally to all materials and under all conditions.

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

    What change would cause the resistance of a conductor to quadruple, assuming its resistivity remains constant?

    <p>Doubling the length and halving the cross-sectional area (D)</p> Signup and view all the answers

    If a conductor's resistivity increases due to a change in temperature but its physical dimensions (length and cross-sectional area) remain constant, its resistance will decrease.

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

    A cylindrical wire has a length of 2 meters and a cross-sectional area of $4 \times 10^{-6} m^2$. If the wire's resistance is 0.1 Ohms, what is its resistivity in Ohm-meters?

    <p>2e-7</p> Signup and view all the answers

    According to the formula $R = \frac{\rho L}{A}$, resistance is directly proportional to the ______ and inversely proportional to the cross-sectional area.

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

    Match the following factors with their effect on the resistance of a conductor:

    <p>Increase in Length = Increases Resistance Increase in Cross-sectional Area = Decreases Resistance Increase in Resistivity = Increases Resistance Decrease in Temperature (for some materials) = Decreases Resistance</p> Signup and view all the answers

    If the current ($I$) through a conductor increases while the cross-sectional area ($A$) remains constant, what happens to the electric field ($E$) according to the relation $E = \frac{\rho I}{A}$?

    <p>The electric field increases. (B)</p> Signup and view all the answers

    The potential difference ($\Delta V$) across a conductor is independent of the electric field ($E$) within it.

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

    Using the formula $R = \frac{\rho L}{A}$, if a wire's length is doubled and its cross-sectional area is halved, by what factor does its resistance change?

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

    The relationship between electric field (E) and current density (J) is given by E = ______J, where the blank represents the material's resistivity.

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    Match the following terms with their corresponding formulas:

    <p>Electric Field (E) = $\rho J$ Potential Difference (V) = $EL$ Resistance (R) = $\frac{\rho L}{A}$</p> Signup and view all the answers

    A conductor has a resistivity of $\rho$. If both its length $L$ and cross-sectional area $A$ are doubled, what happens to its resistance $R$?

    <p>Resistance remains the same. (B)</p> Signup and view all the answers

    If the potential difference across a resistor is doubled while the resistance remains constant, the current through it will be halved.

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

    A wire with a resistance of 2 ohms has a potential difference of 4 volts applied across it. What is the current flowing through the wire, according to the formula $R = \frac{V}{I}$?

    <p>2</p> Signup and view all the answers

    Which of the following changes will always result in a decrease in the resistance of a metallic conductor?

    <p>Decreasing the length and increasing the cross-sectional area. (B)</p> Signup and view all the answers

    The formula linking potential difference (V), electric field (E), and length (L) is V = ______.

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

    Flashcards

    Drift Velocity

    Average velocity of charged particles in a conductor due to an electric field.

    Random Motion

    The movement of charges in a conductor without an electric field.

    Net Displacement

    The overall distance a charged particle moves in an electric field.

    Conventional Current Direction

    The flow direction of positive charges in a circuit, indicates current direction.

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    Electric Field Effects

    Establishing an electric field causes orderly motion of charges in a conductor.

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    Current

    The flow of electric charge from one region to another.

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    Electric Field in Conductors

    E = 0 inside a conductor in electrostatics, meaning no current flows.

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    Random Motion of Electrons

    Without an electric field, electrons move randomly, resulting in no net flow of charge.

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    No Net Flow of Charge

    A state where there is no overall movement of charge in any direction.

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    Establishing Electric Field

    When a constant electric field is applied inside a conductor, it can initiate current.

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    Path of Charges

    The specific routes that charges follow within conductive materials.

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    Electrostatics

    The study of charged objects at rest, with E = 0 inside conductors.

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    Conductors

    Materials that allow the flow of electric charge, creating currents.

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    Resistance

    Opposition to the flow of electric current in a conductor.

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    Ohm's Law

    Relationship between voltage (V), current (I), and resistance (R) expressed as V = IR.

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    Resistor

    A component that resists the flow of current, characterized by a specific resistance value.

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    Potential Difference

    The difference in electric potential energy per unit charge between two points in a circuit.

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    Resistivity

    A material property that quantifies how strongly a given material opposes current flow.

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    Resistance Formula

    R = ρL/A, where ρ is resistivity, L is length, A is area.

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    SI Unit of Resistance

    The SI unit for resistance is the Ohm (Ω) or Volt per Ampere (V/A).

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    Factors Affecting Resistance

    Resistance depends on resistivity, length, and cross-sectional area of the conductor.

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    Constant Resistivity

    If a conductor has constant resistivity, resistance is solely influenced by its geometry.

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    Factors Affecting Resistivity

    Resistivity depends on the type and temperature of the material.

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    What Resistivity Doesn't Depend On

    Resistivity does NOT depend on the size and shape of the material.

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    Semiconductors

    Materials that have a conductivity between conductors and insulators, often manipulated for technology.

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    Superconductors

    Materials that can conduct electricity with zero resistance at low temperatures.

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    Copper Wire

    A wire with a specific resistivity of 1.69 × 10−8 [Ω · m], common in electrical applications.

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    Electric Field Equation

    E = ρJ relates electric field to current density and resistivity.

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    Potential Difference Equation

    V = EL defines potential difference in terms of electric field and length.

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    Alternative Resistance Formula

    R = V/I expresses resistance in terms of voltage and current.

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    Resistivity Definition

    A material's intrinsic property that indicates how strongly it resists current flow.

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    Electric Field Units

    The unit of electric field, E, is volts per meter (V/m).

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    Length in Potential Difference

    L in V = EL represents the physical length where the field acts.

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    Current Density (J)

    The amount of current flowing per unit area, J = I/A.

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    Electric Field (E) Dimension

    E has dimensions of V/m, indicating its relation to energy and distance.

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    Cross-sectional Area (A)

    The area through which current flows, influencing resistance calculations.

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    Study Notes

    Ohm's Law

    • Ohm's law describes the relationship between voltage, current, and resistance in an electrical circuit. It postulates that current is directly proportional to voltage when resistance is constant.

    Electrodynamics

    • Electrostatics studies stationary electric charges. It investigates the forces and interactions between these charges.

    • Electrodynamics examines moving electric charges or electricity. It focuses on the behavior of electric charges in motion.

    Electricity

    • Electricity is the flow of charges through a circuit.

    • A circuit is a closed path for electric charges to flow.

    • By convention, positive charges flow from the positive terminal to the negative terminal (lower potential).

    Circuits

    • Most electronic devices are composed of circuits.

    • Circuits are considered the building blocks of modern technology.

    Circuits' Basic Parts

    • Power Supply: Provides the energy to move charges.

    • Wire (Conductor): A path for charges to move, transporting electricity.

    • Capacitor: Stores electrical energy.

    • Resistor: Limits the flow of current.

    • Switch: Controls the flow of current.

    • Load: Uses the electrical energy to perform work (e.g., light a bulb, spin a motor).

    • Other components like transistors, diodes, inductors and transformers are parts of circuits.

    Current

    • An electric circuit is a conducting loop where electric charges move.

    • Electric current is the flow of charges (electrons) from one region to another.

    • In electrostatics, the electric field is zero inside the conductor, resulting in no current and random electron motion.

    • Any motion of charge within an electrostatic situation will have no net flow (no current).

    Current (continued)

    • The mathematical definition of current is the rate of charge flowing through a given area per unit time.

    • The standard unit for electric current is the Ampere (A).

    Resistivity and Conductivity

    • Resistivity(ρ) is the ratio between the electric field (È) and the current density (J).

    • Conductivity(σ) is the reciprocal of the resistivity (ρ): σ = 1/ρ

    • Resistivity depends on the material and temperature, but not on size and shape.

    Resistance

    • Resistance (R) is a measure of how much a material opposes the flow of electric current. Resistance = (Resistivity x Length) / Area

    • If the resistivity is constant, the resistance is solely dependent on the dimensions of the conductor.

    • Ohm's law relates voltage (V) , current (I) and resistance (R): V = IR

    Ohmic vs Nonohmic materials

    • Ohmic materials have a constant resistance, and thus, a linear relationship between current and voltage.

    • Nonohmic materials do not have a constant resistance and therefore do not have a linear relationship between current and voltage.

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    Description

    This quiz covers key concepts related to electric current and conductors, including drift velocity, charge movement, and resistance. Test your understanding of how electric fields behave inside conductors and the factors affecting current flow. Perfect for students learning about electricity in physics classes.

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