Electric Current and Resistance Quiz

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Questions and Answers

What is the SI unit of electric current?

  • Coulomb (C)
  • Volt (V)
  • Ohm (Ω)
  • Ampere (A) (correct)

What is the relationship between the instantaneous current and the net charge flowing across a section of a conductor in a small time interval?

  • Instantaneous current is the ratio of the net charge to the time interval, as the time interval approaches zero. (correct)
  • Instantaneous current is the square root of the product of the net charge and time interval.
  • Instantaneous current is the product of the net charge and time interval.
  • Instantaneous current is the difference between the net charge and the time interval.

What does the direction of conventional current in an electric circuit represent?

  • The direction of the magnetic field produced by the current.
  • The direction of the electric field in the circuit.
  • The direction of flow of negative charges in the circuit.
  • The direction of flow of positive charges in the circuit. (correct)

Which of the following statements is true about electric current?

<p>Electric current is a scalar quantity and has only magnitude. (C)</p> Signup and view all the answers

A steady current of 10 mA flows through a conductor. How many electrons pass a given point in the conductor in 1 minute?

<p>$6.25 imes 10^{16}$ electrons (D)</p> Signup and view all the answers

A conductor has a length of 10 cm and a cross-sectional area of 2 cm². If its resistance is 5 ohms, what is the resistivity of the material?

<p>10 Ωm (B)</p> Signup and view all the answers

Two wires, A and B, are made of the same material. Wire A has twice the length and half the cross-sectional area of wire B. What is the ratio of the resistance of wire A to wire B?

<p>4:1 (C)</p> Signup and view all the answers

A conductor has a resistance of 10 ohms. What is the potential difference across the conductor if the current through it is 2 amperes?

<p>20 volts (D)</p> Signup and view all the answers

Which of the following factors does NOT affect the resistivity of a conductor?

<p>Length of the conductor (A)</p> Signup and view all the answers

A current of 5 amperes flows through a conductor of cross-sectional area 10 cm². What is the current density in the conductor?

<p>500 Am⁻² (A)</p> Signup and view all the answers

What is the relationship between current and charge flow through a conductor?

<p>Current is the amount of charge flowing per unit time. (D)</p> Signup and view all the answers

Which statement accurately describes the direction of conventional current flow?

<p>The direction of conventional current is opposite to the direction of electron flow. (A)</p> Signup and view all the answers

Which of these scenarios results in zero net electric current within a solid conductor?

<p>When there is no electric field present within the conductor. (B)</p> Signup and view all the answers

What are the current carriers responsible for electrical conductivity in electrolytic solutions?

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

According to Ohm's law, what is the relationship between potential difference (V), current (I), and resistance (R) in a conductor?

<p>V = I * R (C)</p> Signup and view all the answers

If the free electron density of a conductor is doubled, what happens to the conductivity of the conductor?

<p>It is doubled. (C)</p> Signup and view all the answers

Which of the following is NOT a characteristic of an ideal conductor?

<p>High thermal conductivity (C)</p> Signup and view all the answers

What is the primary factor responsible for the existence of free charged particles in the upper atmosphere?

<p>Cosmic rays (D)</p> Signup and view all the answers

What is the relationship between the relaxation time of electrons and the conductivity of a metal?

<p>The conductivity is directly proportional to the relaxation time. (C)</p> Signup and view all the answers

In the equation $j = \sigma E$, what does the term $j$ represent?

<p>Current density (C)</p> Signup and view all the answers

Which of the following accurately describes the drift of electrons?

<p>Electrons moving randomly in the opposite direction to the electric field. (C)</p> Signup and view all the answers

What is the relationship between the conductivity of a conductor and its resistivity?

<p>Conductivity and resistivity are inversely proportional. (D)</p> Signup and view all the answers

What does Ohm's law state in terms of current density and conductivity?

<p>Current density is equal to the product of conductivity and electric field. (C)</p> Signup and view all the answers

If the relaxation time of electrons in a metal doubles, what happens to the conductivity of the metal?

<p>The conductivity doubles. (D)</p> Signup and view all the answers

What is the approximate average velocity of free electrons in a metal at room temperature?

<p>10^-3 m/s (B)</p> Signup and view all the answers

How is the drift velocity of electrons in a conductor related to the electric field strength?

<p>Drift velocity is directly proportional to the electric field strength. (D)</p> Signup and view all the answers

Which of the following is TRUE about the relationship between the resistance of a conductor and its dimensions?

<p>Resistance is directly proportional to the length of the conductor and inversely proportional to its cross-sectional area. (A)</p> Signup and view all the answers

What is the key difference between resistance and resistivity?

<p>Resistance is a property of a specific conductor, while resistivity is a property of the material the conductor is made from. (A)</p> Signup and view all the answers

Imagine you have a conductor with constant cross-sectional area. If you double the length of the conductor, what happens to its resistance?

<p>The resistance doubles. (C)</p> Signup and view all the answers

Which of the following is a reason why the resistance of a conductor might increase with temperature?

<p>The relaxation time of free electrons decreases with increasing temperature. (A)</p> Signup and view all the answers

A circuit contains two resistors connected in series: a 10 Ω resistor and a 20 Ω resistor. What is the equivalent resistance of this series combination?

<p>30 Ω (A)</p> Signup and view all the answers

What is the primary factor responsible for the change in a conductor's resistance with temperature?

<p>The relaxation time of free electrons (A)</p> Signup and view all the answers

A resistor and a conductor made of the same material are connected in series. Which has the higher resistivity?

<p>Both have the same resistivity (C)</p> Signup and view all the answers

A conductor has a resistance of 10 ohms. If its length doubles and its cross-sectional area is halved, what is the new resistance?

<p>40 ohms (A)</p> Signup and view all the answers

Which of the following scenarios could be applied to a wire made of a material with a high resistivity?

<p>It is used as an efficient heating element in a toaster (B)</p> Signup and view all the answers

Which of these statements correctly describes the relationship between current and drift velocity?

<p>Current is directly proportional to the drift velocity (C)</p> Signup and view all the answers

A copper wire and a nichrome wire of the same dimensions are connected in series to a battery. Which wire will have a higher temperature rise?

<p>The nichrome wire (D)</p> Signup and view all the answers

A semiconductor material is unique because its resistivity...

<p>can either increase or decrease with increasing temperature (B)</p> Signup and view all the answers

Imagine two identical wires made of the same material but one is twice as long as the other. How do their resistances compare?

<p>The longer wire has twice the resistance of the shorter wire (D)</p> Signup and view all the answers

Which devices are classified as non-ohmic?

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

What happens to the resistivity of semiconductors when temperature increases?

<p>Resistivity decreases due to increased electron mobility (A)</p> Signup and view all the answers

Which of the following arrangements correctly reflects the resistivity order of materials?

<p>Conductors &lt; Semiconductors &lt; Insulators (A)</p> Signup and view all the answers

Which statement about the applicability of Ohm's law is true?

<p>Ohm's law does not hold at very high and very low temperatures. (A)</p> Signup and view all the answers

What is the primary characteristic of ohmic devices?

<p>They adhere to Ohm's law consistently. (A)</p> Signup and view all the answers

If the electric field inside a conductor is doubled, what happens to the drift velocity of electrons?

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

At a higher temperature, the relaxation time of electrons in a metallic conductor typically:

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

What is the relationship between the electron mobility ($\mu$) and the relaxation time ($\tau$)?

<p>$\mu$ is directly proportional to $\tau$. (A)</p> Signup and view all the answers

Which of the following statements is true about the mobility of charge carriers?

<p>It is affected by the temperature and the type of material. (D)</p> Signup and view all the answers

Which of these pairs of materials has a resistivity that decreases with increasing temperature?

<p>Germanium and Silicon (C)</p> Signup and view all the answers

How does the resistivity of nichrome change with temperature?

<p>It increases linearly with the increase of temperature. (A)</p> Signup and view all the answers

What is the expression for the variation of resistivity of a conductor with temperature?

<p>$ρ = ρ_0 [1 + α(T - T_0)]$ (C)</p> Signup and view all the answers

What is the behavior of the resistivity of a semiconductor as temperature increases?

<p>It decreases. (A)</p> Signup and view all the answers

Which of the following characteristics is NOT suitable for a fuse wire?

<p>Durability under high temperatures. (B)</p> Signup and view all the answers

What is a key characteristic of heating elements?

<p>They should have high resistivity. (D)</p> Signup and view all the answers

What characteristic of manganin and constantan makes them suitable for wire wound standard resistors?

<p>They possess negligible temperature coefficients of resistivity. (A), They have high resistivity and low resistance change with temperature. (D)</p> Signup and view all the answers

Which formula correctly describes the relationship between electrical energy and power?

<p>$E = Pt$ (A), $P = rac{E}{t}$ (C)</p> Signup and view all the answers

In terms of electrical power, how can it be expressed using current and resistance?

<p>$P = I^2R$ (A), $P = V^2 / R$ (C)</p> Signup and view all the answers

What happens to the power dissipated in a resistor as the current increases?

<p>It increases exponentially with the square of the current. (A)</p> Signup and view all the answers

Why is electrical power transmitted at high voltage and low current over long distances?

<p>To reduce heat loss due to resistance in the transmission lines. (B)</p> Signup and view all the answers

How is heat generated in a resistor related to the electrical energy being converted?

<p>It is equal to the change in potential energy as charge moves. (D)</p> Signup and view all the answers

What does the expression for heat developed in a resistor, caused by electric current, imply?

<p>It results from the work done by potential energy changes. (A)</p> Signup and view all the answers

Which statement is true regarding electrical energy and electrical power?

<p>Electrical energy is the work done to move a charge, while power is the energy used per second. (C)</p> Signup and view all the answers

Flashcards

Electric Current

The rate of flow of charge through a conductor.

Instantaneous Electric Current

The limit of charge flow ratio as time interval approaches zero.

Steady Current

The time ratio of charge flowing forward continuously.

S.I. Unit of Electric Current

The standard unit for measuring electric current is ampere (A).

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Direction of Electric Current

Indicates the flow direction of positive charges in a circuit.

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Direction of Current Flow

The conventional flow of current is from higher potential to lower potential.

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One Ampere

One ampere is when one coulomb of charge flows per second through a conductor.

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Relation between Coulomb and Ampere

1A is equal to 1C per second (1A = 1Cs^-1).

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Net Charge in Conductor

The net flow of electric charges inside a solid conductor is zero.

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Free Electron Density

It measures the number of free electrons in a unit volume of a conductor.

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Current Carriers in Metals

The current carriers in metals or solid conductors are free electrons.

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Ohm's Law

Ohm's Law states that V = RI, meaning potential difference is directly proportional to current.

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Net Electric Current in Absence of Electric Field

Despite many electrons, the net electric current is zero without an electric field due to random motion.

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Drift Velocity

The average velocity of free electrons moving towards the positive end of a conductor under an electric field.

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Expression for Drift Velocity

Drift velocity is given by $v_d = \frac{-eE}{m} \tau$ with $E$ being electric field and $\tau$ relaxation time.

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Effect of Temperature on Drift Speed

Drift speed decreases as temperature increases due to increased collisions.

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Relaxation Time

The average time between collisions of an electron with fixed atoms in a conductor.

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Electron Mobility

Mobility is the drift velocity per unit electric field, represented as $\mu = \frac{v_d}{E}$.

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Unit of Resistance

The unit of resistance in the S.I. system is ohm (Ω).

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Define Resistance

Resistance is opposition to the flow of electrons and is the ratio of potential difference to current.

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Factors Affecting Resistance

Resistance depends on the length (directly proportional) and area of cross-section (inversely proportional) of the conductor.

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Define Resistivity

Resistivity measures opposition per unit area and length for a material.

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Current Density

Current density (j) is the electric current (I) per unit area (A) perpendicular to current direction: j = I/A.

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Electrical Conductivity

The ability of a conductor to conduct current, measured as the ratio of current density to electric field.

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Average Velocity of Free Electrons

Approximately 10^-3 m/s for free electrons in a metal at room temperature.

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Ohm's Law Relation

The relation j = σE describes how current density (j) is proportional to electric field (E) by conductivity (σ).

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Current Density (j)

The amount of electric current flowing per unit area of a conductor's cross-section.

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Conductivity (σ)

A measure of a material's ability to conduct electric current, with units of S/m.

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Drift of Electrons

The net movement of free electrons in a conductor due to an electric field, opposite the field direction.

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Current Density and Conductivity Relation

In vector form, current density j is related to conductivity σ and electric field E by j = σE.

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Resistance

The opposition offered by a conductor to electric current flow.

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Resistivity

The resistance of a unit cube of a material; a property of the material itself.

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S.I. Unit of Resistance

The standard unit for measuring resistance is ohm (Ω).

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Effect of Temperature on Resistance

The resistance of a conductor generally increases as temperature rises.

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Current in Series Resistors

In a series circuit, the current through each resistor is the same.

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Limitations of Ohm's Law

Ohm's law is not valid at extreme temperatures or for electron tubes.

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Ohmic Devices

Devices that obey Ohm's law, exhibiting a constant resistance.

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Non-Ohmic Devices

Devices that do not obey Ohm's law, showing variable resistance.

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Resistivity Order

Conductors < Semiconductors < Insulators based on resistivity.

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Insulator Examples

Materials with high resistivity, like rubber and glass.

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Resistivity of Conductor

Resistivity of a conductor increases with temperature.

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Resistivity of Semiconductor

The resistivity of a semiconductor decreases with an increase in temperature.

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Temperature Coefficient of Resistivity

A parameter indicating how resistivity changes with temperature, given by $α$.

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Resistivity Formula

The expression for resistivity variation: $ρ = ρ_0 [1 + α(T - T_0)]$.

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Characteristics of Heating Elements

They should have high resistivity and high melting point, e.g., Tungsten.

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Unit of Resistivity

The S.I. unit for resistivity is ohm meter (Ω-m).

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Effect of temperature on resistivity

A semiconductor's resistivity decreases with increased temperature.

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Resistance and Temperature

The resistance of a conductor increases with rising temperature.

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Current in Series Circuit

Current remains constant through each resistor in series.

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Current and Drift Velocity Relation

Current (I) is equal to n e A v_d, where v_d is drift velocity.

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Manganin and Constantan

Materials used in wire wound standard resistors due to low resistance change with temperature.

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Electrical Energy

Total work done in maintaining an electric current in a circuit.

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Electrical Power

The rate at which electrical work is done in a circuit.

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Power Formula

Relationship between power, energy, and time: P = E/t or E = Pt.

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Power in Current and Resistance

Expression for power as P = I^2R, related to current and resistance.

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Heat Developed in Resistor

Heat generated in a resistor due to energy change from potential to kinetic energy of charges.

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High Voltage Low Current Transmission

Electric power is transmitted at high voltage and low current to reduce energy loss.

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Relation of Voltage and Current

Power can be expressed as P = VI, relating voltage and current in a circuit.

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