Current Electricity and Drift Velocity
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Questions and Answers

What is the definition of electric current?

The rate of flow of charge across any cross-section of the conductor per unit time is called as electric current.

Electric current is a scalar quantity.

True

What are the major sources of electric current?

  • Capacitors and inductors
  • Resistors and diodes
  • Solar panels and wind turbines
  • Batteries and dynamos (generators) (correct)
  • What is the formula for electric current when the flow of charge is non-uniform?

    <p>I = dq/dt</p> Signup and view all the answers

    What is the formula for electric current in terms of the number of electrons 'n', the charge of an electron 'e', and the time 't'?

    <p>I = (ne)/t</p> Signup and view all the answers

    What is the formula for electric current in terms of the angular velocity 'ω' and the charge 'q'?

    <p>I = qω/2π</p> Signup and view all the answers

    What is the formula for electric current in terms of the frequency 'f' and the charge 'q'?

    <p>I = qf</p> Signup and view all the answers

    What is the difference between conventional current and electronic current?

    <p>Conventional current is defined as the flow of positive charge, while electronic current is defined as the flow of negative charge (electrons).</p> Signup and view all the answers

    What is the definition of transient current?

    <p>Transient current is the current that remains for a short duration.</p> Signup and view all the answers

    What is the definition of drift velocity?

    <p>The average velocity with which the free electrons are drifted towards the positive terminal under the action of the applied electric field is called as drift velocity of the free electrons.</p> Signup and view all the answers

    What is the formula for drift velocity in terms of the electric field 'E', the charge of an electron 'e', the mass of an electron 'm', and the relaxation time 'τ'?

    <p>Vd = eEτ/m</p> Signup and view all the answers

    What is the definition of mean free path?

    <p>The distance travelled by a conduction electron during relaxation time is called as mean free path.</p> Signup and view all the answers

    What is the formula for mean free path in terms of drift velocity 'Vd' and relaxation time 'τ'?

    <p>λ = Vdτ</p> Signup and view all the answers

    What is the formula for electric current in terms of drift velocity 'Vd', electron charge 'e', number density of electrons 'n', and cross-sectional area 'A'?

    <p>I= neAVd</p> Signup and view all the answers

    What is the definition of electron mobility?

    <p>The drift velocity acquired per unit electric field strength is called as mobility of the electron.</p> Signup and view all the answers

    What is the formula for electron mobility in terms of drift velocity 'Vd' and electric field 'E'?

    <p>μ = Vd/E</p> Signup and view all the answers

    What is the formula for electric current in terms of electron mobility 'μ', electric field 'E', electron charge 'e', number density of electrons 'n', and cross-sectional area 'A'?

    <p>I = nAμEe</p> Signup and view all the answers

    What is the definition of current density?

    <p>The electric current density at any point inside a conductor is defined as the amount of charge flowing per second through a unit area held normal to the direction of the flow of charge.</p> Signup and view all the answers

    What is the formula for current density in terms of current 'I' and cross-sectional area 'A'?

    <p>J = I/A</p> Signup and view all the answers

    What is the formula for current density in terms of drift velocity 'Vd', electron charge 'e', and number density of electrons 'n'?

    <p>J = neVd</p> Signup and view all the answers

    What is the formula for current density in terms of conductivity 'σ' and electric field 'E'?

    <p>J = σE</p> Signup and view all the answers

    What is Ohm's law?

    <p>Ohm's Law states that, 'At a constant temperature the current (I) flowing through a metallic conductor is directly proportional to the potential difference (V) between the two ends of the conductor'.</p> Signup and view all the answers

    What is the formula for Ohm's law?

    <p>V = IR</p> Signup and view all the answers

    What is the definition of resistance?

    <p>Resistance is the opposition offered to the flow of electric charge in the conductor.</p> Signup and view all the answers

    What is the formula for resistance in terms of voltage 'V' and current 'I'?

    <p>R = V/I</p> Signup and view all the answers

    What is the formula for resistance in terms of resistivity 'ρ', length 'l', and cross-sectional area 'A'?

    <p>R = ρl/A</p> Signup and view all the answers

    The resistance of a conductor is independent of the values of 'V' and 'I'.

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

    What is the definition of conductance?

    <p>The reciprocal of resistance of a conductor is called conductance</p> Signup and view all the answers

    What is the formula for conductance in terms of resistance 'R'?

    <p>G = 1/R</p> Signup and view all the answers

    What is the formula for resistivity in terms of resistance 'R', length 'l', and cross-sectional area 'A'?

    <p>ρ = RA/l</p> Signup and view all the answers

    What is the formula for resistivity in terms of conductivity 'σ'?

    <p>ρ = 1/σ</p> Signup and view all the answers

    What is the formula for conductivity in terms of resistivity 'ρ'?

    <p>σ = 1/ρ</p> Signup and view all the answers

    What is the formula for the temperature coefficient of resistance 'α'?

    <p>α = (Rt - Ro) / Ro * t</p> Signup and view all the answers

    What is the formula for the resistance at a temperature 't2' 'R2' in terms of the resistance at a temperature 't1' 'R1', and the temperature coefficient of resistance 'α'?

    <p>R2 = R1[1 + α(t2 - t1)]</p> Signup and view all the answers

    What is the definition of an ohmic conductor?

    <p>An ohmic conductor is a conductor that obeys Ohm's law.</p> Signup and view all the answers

    The resistance of a conductor is directly proportional to the length of the conductor.

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

    The resistance of a conductor is inversely proportional to its area of cross-section.

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

    What is the definition of a resistor?

    <p>A component whose function in a circuit is to provide a specified value of resistance is called as resistor.</p> Signup and view all the answers

    What is the definition of a carbon resistor?

    <p>The resistors made from carbon with a suitable binding material moulded into a cylinder are called as carbon resistor.</p> Signup and view all the answers

    What is the purpose of the color code used on carbon resistors?

    <p>A color code is used to indicate the value of the carbon resistance with its percentage reliability.</p> Signup and view all the answers

    What are the two main systems for marking the color code on carbon resistors?

    <p>The first system uses a set of colored co-axial rings or bands printed on the resistor, while the second system uses a body color, end color, dot color, and ring color.</p> Signup and view all the answers

    What is the definition of a potentiometer?

    <p>Potentiometer is a device to measure potential difference between two points or e.m.f. of a cell without drawing any current from the source.</p> Signup and view all the answers

    What is the principle of a potentiometer?

    <p>The potential difference between any two points of a wire of uniform area of cross-section is directly proportional to the length of the wire between these points, provided the current through the wire remains constant.</p> Signup and view all the answers

    What is the definition of potential gradient?

    <p>The potential drop per unit length of the potentiometer wire is called as potential gradient.</p> Signup and view all the answers

    What is the formula for potential gradient in terms of potential 'V' and length 'l'?

    <p>k = V/l</p> Signup and view all the answers

    What is the definition of a cell?

    <p>A cell is a device which provides the necessary potential difference to an electric circuit to maintain a continuous flow of current in it.</p> Signup and view all the answers

    What is the definition of a battery?

    <p>Two or more primary cells electrically connected and used as a single unit are called battery.</p> Signup and view all the answers

    What is the definition of e.m.f.?

    <p>The electro motive force of a cell is defined as the difference of potential between its terminals when there is no current in the external circuit.</p> Signup and view all the answers

    What is the definition of internal resistance?

    <p>The electrolyte inside a cell between the two electrodes offers a resistance to the passage of current through it. This resistance is called as internal resistance of cell.</p> Signup and view all the answers

    What is the formula for internal resistance 'r' in terms of e.m.f. 'E', terminal potential difference 'V', and external resistance 'R'?

    <p>r = R(E-V)/V</p> Signup and view all the answers

    What is the definition of terminal potential difference (operating voltage) of a cell?

    <p>The terminal potential difference of a cell is defined as the potentail difference between the two electrodes of a cell in a closed circuit i.e. when some current is drawn from the cell.</p> Signup and view all the answers

    What is the formula for terminal potential difference 'V' in terms of e.m.f. 'E', internal resistance 'r', and current 'I'?

    <p>V = E - Ir</p> Signup and view all the answers

    Describe the difference between electromotive force (e.m.f.) and potential difference.

    <p>Electromotive force is the difference of potential between two terminals of a cell when there is no current flowing through external circuit. It is independent of the resistance of the circuit. It is a cause. Potential difference is the difference of potential between two terminals of a cell when a current flowing through external circuit. It is depend upon resistance of the circuit. It is an effect.</p> Signup and view all the answers

    What is Kirchhoff's Current Law?

    <p>Kirchhoff's first law (Kirchhoff's Current Law):- It states that, “The algebraic sum of currents meeting at a point (Junction) is zero”.</p> Signup and view all the answers

    What is Kirchhoff's Voltage Law?

    <p>Kirchhoff's second law (Kirchhoff's Voltage Law):- It states that, “In a closed electric circuit, the algebraic sum of e.m.f. is equal to the algebraic sum of the product of their resistances and the current flowing through them”.</p> Signup and view all the answers

    What is a Wheatstone bridge?

    <p>Wheatstone bridge is an arrangement of four resistors in the form of a bridge used for measuring one unknown resistor in terms of other three known resistors.</p> Signup and view all the answers

    What is the condition for a balanced Wheatstone bridge?

    <p>The bridge is said to be balanced when the galvanometer shows no deflection.</p> Signup and view all the answers

    What is the formula for the balanced Wheatstone bridge?

    <p>P/Q = R/S</p> Signup and view all the answers

    What is a Meter Bridge?

    <p>A meter bridge is an instrument to determine the unknown resistance of a conductor.</p> Signup and view all the answers

    What is the formula for calculating the unknown resistance 'S' using a Meter Bridge?

    <p>S = R(100-l)/l</p> Signup and view all the answers

    What is the formula for calculating the resistivity 'ρ' of a material using a Meter Bridge?

    <p>ρ = SA/l</p> Signup and view all the answers

    What is the definition of sensitivity in a potentiometer?

    <p>The smallest potential difference that can be accurately measured by a potentiometer is called as the sensitivity of the potentiometer.</p> Signup and view all the answers

    How can the sensitivity of a potentiometer be increased?

    <p>A potentiometer can be made more sensitive by decreasing its potential gradient.</p> Signup and view all the answers

    What are the main differences between a rheostat and a potentiometer?

    <p>A rheostat is a device which is used for controlling the current by varying the resistance. A potentiometer is a device which is used for controlling the current by varying the resistance..</p> Signup and view all the answers

    What is the formula for calculating the internal resistance 'r' of a cell using a potentiometer?

    <p>r = (k(l1-l2)R)/kl2</p> Signup and view all the answers

    What are the main advantages of a potentiometer over a voltmeter?

    <p>Potentiometers offer higher sensitivity, accuracy, and do not draw current from the circuit being measured, making them superior for precision voltage measurements, especially for e.m.f. determination.</p> Signup and view all the answers

    What are the main disadvantages of a potentiometer compared to a voltmeter?

    <p>The slow operation of the potentiometer and the need for uniform wire thickness and temperature stability pose some drawbacks compared to voltmeters.</p> Signup and view all the answers

    The internal resistance of a cell is zero for freshly prepared cells.

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

    Describe the two main types of cell connections: cells in series and cells in parallel.

    <p>Cells are said to be connected in series if negative terminal of first is connected with positive terminal of the second and so on. Cells are said to be connected in parallel if positive terminals of all the cells are connected at one point and negative terminals at the other point.</p> Signup and view all the answers

    What is the formula for the total e.m.f. 'Enet' of 'n' identical cells connected in series?

    <p>Enet = nE</p> Signup and view all the answers

    What is the formula for the total internal resistance 'rnet' of 'n' identical cells connected in series?

    <p>rnet = nr</p> Signup and view all the answers

    What is the formula for the total e.m.f. 'Enet' of 'm' identical cells connected in parallel?

    <p>Enet = E</p> Signup and view all the answers

    What is the formula for the total internal resistance 'rnet' of 'm' identical cells connected in parallel?

    <p>rnet = r/m</p> Signup and view all the answers

    What are the main applications of cells in series?

    <p>Cells in series are particularly relevant when a higher voltage is needed in the circuit, commonly used in situations like powering a flashlight or a string of LED lights.</p> Signup and view all the answers

    What are the main applications of cells in parallel?

    <p>The parallel arrangement of cells is particularly beneficial when a higher current is required, commonly used in situations like starting a car or powering a high-current electronic device.</p> Signup and view all the answers

    What is the main difference between the behavior of resistors and capacitors in series and parallel connections?

    <p>Resistors in series increase the total resistance, while resistors in parallel decrease the total resistance. Conversely, capacitors in series decrease the total capacitance, while capacitors in parallel increase the total capacitance.</p> Signup and view all the answers

    What is the formula for the equivalent resistance 'Req' of two resistors 'R1' and 'R2' connected in parallel?

    <p>Req = R1*R2 / (R1+R2)</p> Signup and view all the answers

    Study Notes

    Current Electricity

    • Electric current is the rate of flow of charge across any cross-section of a conductor per unit time.
    • Current (I) = ΔQ/Δt where ΔQ is the change in charge and Δt is the change in time.
    • If the time interval Δt is very small (approaches zero), the current is given by I = dq/dt.
    • The S.I. unit of current is the ampere (A), where 1 A = 1 C/s (1 coulomb per second).
    • The C.G.S. unit of electric current is the stat-ampere.
    • 1 stat-ampere = 3.0 × 10⁹ A.

    Drift Velocity

    • Drift velocity is the average velocity with which free electrons move in a conductor under the influence of an electric field.
    • Drift velocity (vd) = I/(neA), where:
      • I is the current
      • n is the number of free electrons per unit volume
      • e is the charge of an electron
      • A is the cross-sectional area of the conductor.

    Mobility

    • Mobility is the drift velocity per unit electric field strength.
    • Mobility (µ) = vd/E.

    Electrical Resistance

    • Resistance is the opposition that a material offers to the flow of electric current.
    • The S.I unit of resistance is ohm (Ω).
    • Resistance (R) = ρl/A, where :
      • ρ is the resistivity of the material
      • l is the length of the conductor
      • A is the cross-sectional area of the conductor.

    Resistivity

    • Resistivity is a measure of the resistance of a given material to electric current flow.
    • Resistivity (ρ) = RA/l.

    Temperature Dependence of Resistance

    • The resistance of a conductor generally increases with increasing temperature.
    • The temperature coefficient of resistance (α) is a measure of how much the resistance changes with temperature.
    • α= (Rₜ - R₀) / (R₀ * ΔT) where:
      • Rₜ is the resistance at a temperature T
        • R₀ is the resistance at some reference temperature (usually 0°C or 20°C).
        • ΔT is the change in temperature.

    Conductance

    • Conductance (G) is the reciprocal of resistance.
    • Conductance (G) = 1/R.

    Ohm's Law

    • Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points.
    • V = IR, where V is the voltage, I is the current, and R is the resistance.

    Electrical Energy and Power

    • The electrical energy (W) consumed by an electrical device is equal to power (P) multiplied by time (t).
    • W = Pt. The S.I unit for electrical energy is the Joule and for electric power, it is the Watt.
    • Important formulas:
      • Electrical energy = VIt.
      • Electrical energy = I²Rt.
      • Electrical energy = V²t/R.
      • Electric Power = VI.
      • Electric Power = I²R.
      • Electric Power = V²/R

    Grouping of Resistors

    • Resistors connected in series: resistances add up. Equivalent resistance (R) = Rᵢ + R₂ + ... + Rₙ
    • Resistors connected in parallel: the reciprocal of the equivalent resistance (1/R) is equal to the sum of the reciprocals of the individual resistances (1/R₁ + 1/R₂ + ... + 1/Rₙ)

    Grouping of Cells

    • Cells in series: to increase the voltage
    • Cells in parallel: to increase the current

    Kirchhoff's Laws

    • Kirchhoff's current law (KCL): the algebraic sum of currents entering and leaving a junction is zero.
    • Kirchhoff's voltage law (KVL): the algebraic sum of voltages (EMF and potential drops) around any closed loop is zero

    Wheatstone Bridge

    • A Wheatstone bridge is an instrument used to measure an unknown electrical resistance using a known electrical resistance
    • The bridge is balanced when there is no current flowing through the galvanometer.

    Meter Bridge

    • A meter bridge is a type of Wheatstone bridge with a uniform wire of length 1 m. Used to find unknown resistance by balancing the bridge.

    Potentiometer

    • A potentiometer is a device used to measure EMF and potential differences. It is more accurate than a voltmeter because it measures potential difference without drawing any current from the source.

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    Description

    Explore the concepts of current electricity, drift velocity, and mobility through this comprehensive quiz. Understand how electric current flows and the factors affecting drift velocity in conductors. Test your knowledge on electrical resistance and its implications in circuits.

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