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Questions and Answers

What is the significance of selecting materials like manganin and constantan for wire bound resistors?

These materials have resistivities that are relatively insensitive to temperature, ensuring consistent resistance across varying conditions.

Explain how the colour code works for identifying the value of carbon resistors.

The first two colour bands represent the first two significant figures of resistance, the third indicates the decimal multiplier, and the last band represents tolerance.

How does Ohm's Law relate to the functioning of wire bound resistors?

Ohm's Law states that the current through a conductor between two points is directly proportional to the voltage across the two points, which applies to wire bound resistors in providing defined resistance.

What defines the tolerance of a resistor and why is it important?

<p>Tolerance indicates the possible variation in resistance, typically as a percentage, allowing for better accuracy in circuit design and application.</p> Signup and view all the answers

Describe the role of current density in the context of resistors.

<p>Current density refers to the amount of current per unit area of the conductor, influencing the heating effect in resistors due to resistive losses.</p> Signup and view all the answers

How does the drift of electrons contribute to the resistance observed in wire bound resistors?

<p>The drift of electrons through the resistor material encounters collisions with atoms, resulting in resistance as energy is dissipated as heat.</p> Signup and view all the answers

What relationship exists between the electric field and potential difference in resistors?

<p>The electric field within a resistor creates a potential difference that drives the flow of current, as described by Ohm's Law.</p> Signup and view all the answers

State Kirchhoff's law as it applies to circuits containing resistors.

<p>Kirchhoff's law states that the total current entering a junction equals the total current leaving the junction, ensuring circuit continuity.</p> Signup and view all the answers

What is the definition of mobility in the context of drift velocity and electric field?

<p>Mobility (µ) is defined as the magnitude of the drift velocity (|vd|) per unit electric field (E), expressed as µ = |vd| / E.</p> Signup and view all the answers

What are the SI units of mobility and how do they compare to practical units?

<p>The SI unit of mobility is m²/Vs, which is equivalent to 10⁴ cm²/Vs in practical units.</p> Signup and view all the answers

Identify a major limitation of Ohm's Law related to the relationship between voltage and current.

<p>One major limitation is that voltage (V) may cease to be proportional to current (I) in certain materials, resulting in nonlinear V-I characteristics.</p> Signup and view all the answers

In what way can the relationship between voltage and current be dependent on the sign of voltage?

<p>The relationship can depend on the sign such that reversing the direction of voltage (while keeping its magnitude fixed) does not yield the same magnitude of current in the opposite direction.</p> Signup and view all the answers

What characteristic of GaAs indicates that the relation between voltage and current is not unique?

<p>GaAs exhibits behavior where there can be more than one value of voltage for the same current, indicating a non-unique relationship.</p> Signup and view all the answers

What is the relationship defined by Ohm's Law?

<p>Ohm's Law states that the current $I$ through a conductor between two points is directly proportional to the voltage $V$ across the two points and inversely proportional to the resistance $R$, expressed as $I = \frac{V}{R}$.</p> Signup and view all the answers

How does the average collision time (τ) relate to drift velocity in determining mobility?

<p>The drift velocity (vd) is proportional to the average collision time (τ) and the electric field (E) in the equation µ = e τ / (m E).</p> Signup and view all the answers

How does the current density relate to total current in a conductor?

<p>Current density $J$ is defined as the amount of current $I$ flowing per unit area $A$, expressed as $J = \frac{I}{A}$.</p> Signup and view all the answers

What causes the drift of electrons in a conductor?

<p>The drift of electrons in a conductor is primarily caused by the application of an electric field, which creates a force on the free electrons, causing them to move in a particular direction.</p> Signup and view all the answers

What is the significance of drift velocity in the context of current flow in conductors?

<p>Drift velocity represents the average velocity of charge carriers (like electrons) in a conductor due to an electric field, and it is essential for calculating current flow.</p> Signup and view all the answers

Explain why certain materials and devices that do not obey Ohm's Law are still commonly used in electronic circuits.

<p>Materials and devices that do not follow Ohm's Law can offer unique electrical characteristics, such as rectification in diodes, making them valuable in various applications.</p> Signup and view all the answers

Define the relationship between electric field and potential difference.

<p>The electric field $E$ between two points in a circuit is related to the potential difference $V$ as $E = -\frac{dV}{dx}$, with $dx$ being the distance between the points.</p> Signup and view all the answers

What are Kirchhoff’s laws and their purpose in analyzing circuits?

<p>Kirchhoff's laws include the Junction Rule, which states that the total current entering a junction equals the total current leaving, and the Loop Rule, which states that the sum of the voltage differences around any closed loop is zero.</p> Signup and view all the answers

Explain the term mobility in the context of charge carriers in a conductor.

<p>Mobility refers to how quickly a charge carrier (like an electron) can move through a material under the influence of an electric field, typically expressed as $\mu = \frac{v_d}{E}$, where $v_d$ is the drift velocity and $E$ is the electric field strength.</p> Signup and view all the answers

What does the color coding on a carbon resistor indicate?

<p>The color bands on a carbon resistor indicate its resistance value and tolerance, with each color representing a specific digit or multiplier according to a standardized coding system.</p> Signup and view all the answers

How can internal resistance affect the performance of a cell in parallel with other cells?

<p>Internal resistance can lead to power losses and reduce the effective emf of a cell when connected in parallel, as it adds to the overall resistance and affects the current distribution.</p> Signup and view all the answers

Flashcards

Wirewound Resistors Material

Wirewound resistors are made from alloys like manganin, constantan, nichrome, with resistivities that don't change much with temperature.

Wirewound Resistor Range

Wirewound resistors typically have values from a small fraction of an ohm to a few hundred ohms.

Carbon Resistor Material

Higher-value resistors are usually made of carbon.

Carbon Resistor Size

Carbon resistors are small, which is why their values are indicated using a colour code.

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Resistor Color Code Purpose

The color bands on a resistor indicate its resistance value and tolerance (possible variation).

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Resistor Color Code Bands

The first two bands show the first two significant figures of resistance, the third band is a multiplier, and the last band represents the tolerance.

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Resistor Tolerance

Tolerance is the acceptable variation in the resistor's actual resistance compared to its labeled value.

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Resistor Color Code Table

A table shows the relationship between resistor colors and numbers.

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Kirchhoff's Rules

Two rules used to analyze complex electric circuits with multiple resistors and cells. They help determine currents and voltage differences in circuits.

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Kirchhoff's First Rule (Junction Rule)

The algebraic sum of currents entering a junction (where wires meet) in a circuit is equal to the sum of currents leaving the junction.

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Kirchhoff's Second Rule (Loop Rule)

The algebraic sum of potential differences around any closed loop in a circuit is equal to zero.

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Emf (Electromotive Force)

The potential difference across the terminals of a cell when no current is flowing. It signifies the energy provided by the cell per unit charge.

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Internal Resistance

The resistance within a cell that opposes the flow of current caused by the cell's own components.

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Parallel Combination of Cells

Multiple cells connected with their positive terminals together and their negative terminals together. They provide a higher current capacity.

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Effective Emf (εeq)

The equivalent emf of a combination of cells connected in parallel. It's the overall 'pushing power' of the combination.

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Effective Internal Resistance (req)

The equivalent internal resistance of a combination of cells connected in parallel. It represents the overall 'friction' of the combination.

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Mobility (µ)

A measure of how easily charge carriers move in a material under the influence of an electric field. It's the drift velocity per unit electric field.

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Mobility Units

The SI unit of mobility is m^2/Vs, and 10^4 cm^2/Vs is the same as 1 m^2/Vs.

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Mobility Formula

µ = (vd * e * τ) / m, where vd is drift velocity, e is charge, τ is collision time, and m is mass.

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Ohm's Law Deviations

Materials and devices that don't follow Ohm's law V = IR show deviations in their voltage-current relationship.

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Non-Linear V-I Relationship

Voltage is not directly proportional to current. The graph of V vs. I is not a straight line.

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Voltage Dependent Current

Changing the direction of voltage doesn't always produce the same magnitude of current in the opposite direction.

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Multi-Valued V-I Relationship

For a given current, there can be multiple voltage values. This is not a straightforward one-to-one relationship.

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Non-Ohmic Materials

Materials not following Ohm's law are valuable in electronic circuits, even though they are exceptions to the rule.

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Study Notes

Current Electricity

  • Introduction:
    • Chapter 1 considered charges at rest.
    • Charges in motion constitute an electric current.
    • Examples of natural currents include lightning.
    • Steady currents are also common in many devices.

Electric Current

  • Definition:
    • Imagine a small area held normal to the charge flow direction.
    • Net positive charge flow (forward minus backward) in a given time period (q₁).
    • Net negative charge flow (forward minus backward) in that same time period (q_).
    • Net charge (q) is proportional to time (t) for a steady current, q = q₁ − q_.

Currents in Conductors

  • Free Charges:

    • Free charges exist in atoms and molecules that are bound to each other.
    • In conductors, some electrons are practically free to move in the material.
  • Conductors vs. Insulators:

    • In conductors, electrons can move freely, leading to current.
    • In insulators, electrons are tightly bound, hindering current flow.
  • Electric Field Effect:

    • Charges in conductors will move if an electric field is applied.
    • In conductors, the current is carried by negatively charged electrons, with fixed positive ions.

Ohm's Law

  • Statement:

    • The current (I) flowing through a conductor is directly proportional to the potential difference (V) across it.
    • V = IR
  • Resistance (R):

    • The constant in Ohm's Law is the resistance of the conductor.
    • Resistance (R) is measured in ohms (Ω).
  • Resistance Dependence:

    • Resistance depends on the material, length, and cross-sectional area of the conductor.
    • R = ρL/A

Resistivity

  • Definition:

    • Resistivity (ρ) is a material property.
    • R = ρL/A
  • Temperature Dependence:

    • Resistivity changes with temperature.
    • ρ₁ = ρ₀[1 + α(T − T₀)]

Temperature Dependence of Resistivity

  • Metals:
    • a is positive, resistivity increases with temperature.
    • Resistivity changes linearly with temperature over a limited range.
  • Insulators/Semiconductors: -Resistivity decreases with temperature.

Electrical Energy and Power

  • Power Dissipation in a Circuit:
    • Power dissipated (P) is proportional to IV.
    • P = I²R = V²/R

Cells, EMF, and Internal Resistance

  • Electromotive Force (ε):

    • Potential difference between the terminals of a cell in an open circuit.
  • Internal Resistance (r):

    • Resistance within the cell itself.
  • Circuit with Internal Resistance:

    • V = ε - Ir

Parallel and Series Resistor Combinations

  • Series Combination:
    • Resistors in a line configuration.
    • Equivalent resistance (Req) = R₁ + R₂ + ... + Rn
  • Parallel Combination:
    • Resistors connected across each other.
    • 1/Req = 1/R₁ + 1/R₂ + ... + 1/Rn

Kirchhoff's Rules

  • Junction Rule:
    • Sum of currents entering a junction equals the sum of currents leaving.
  • Loop Rule:
    • Sum of voltage changes around a closed loop is zero.

Wheatstone Bridge

  • Balanced Condition:
    • R₁/R₂ = R₃/R₄

Meter Bridge

  • Measuring Unknown Resistance:
    • Technique using a known resistance and a sliding contact to provide balance.

Potentiometer

  • Variable Resistance:
    • Precise measurement of potential difference.
    • Uses a wire of uniform cross-section.
  • Internal Resistance Measurement:
    • Useful measurement technique using the method of comparing potential differences.

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