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Calculate the total capacitance of capacitors connected in parallel (C1=1µF, C2=5µF, C3=8µF). Write the symbols for inductors in series and parallel.

Physics

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Here are the solutions to the questions from Section B:

SECTION B

1.a) Calculate the total capacitance of capacitors connected in parallel in the following: C1 = 1 µF, C2 = 5 µF, C3 = 8 µF

  1. For capacitors connected in parallel, the total capacitance is the sum of the individual capacitances.

    Ctotal=C1+C2+C3C_{total} = C_1 + C_2 + C_3
  2. Substitute the given values.

    Ctotal=1 µF+5 µF+8 µFC_{total} = 1 \text{ µF} + 5 \text{ µF} + 8 \text{ µF} Ctotal=14 µFC_{total} = \boxed{14 \text{ µF}}

    1.b) Write the symbol for both inductors connected in series and parallel

    • Symbol for a single inductor:
    \text{---} \begin{tikzpicture}[baseline=(current bounding box.center)] \draw (0,0) to[inductor] (1,0); \end{tikzpicture} \text{---}
    • Two inductors connected in series:
    \text{---} \begin{tikzpicture}[baseline=(current bounding box.center)] \draw (0,0) to[inductor] (0.5,0) to[inductor] (1,0); \end{tikzpicture} \text{---}
    • Two inductors connected in parallel:
    \begin{tikzpicture}[baseline=(current bounding box.center)] \draw (0,0) -- (0.2,0); \draw (0.2,0) to[inductor] (0.8,0); \draw (0.8,0) -- (1,0); \draw (0.2,0) -- (0.2,-0.5); \draw (0.2,-0.5) to[inductor] (0.8,-0.5); \draw (0.8,-0.5) -- (0.8,0); \end{tikzpicture}

    (Note: The parallel symbol is typically drawn with two inductors side-by-side, connected at both ends.)

    2. Define the following terms as applied to electricity:

    i) Voltage
    Voltage is the electrical potential difference between two points, representing the work required per unit charge to move a test charge between the two points.

    ii) Current
    Current is the rate of flow of electric charge through a conductor or circuit.

    iii) Resistance
    Resistance is the opposition to the flow of electric current in a circuit or material.

    iv) Power
    Power in electricity is the rate at which electrical energy is transferred or converted from one form to another.

    v) Multimeter
    A multimeter is an electronic measuring instrument that combines several measurement functions, such as voltage, current, and resistance, into a single unit.

    3.a) Which instrument is used to measure the following:

    i) Voltage
    Voltmeter

    ii) Current
    Ammeter

    iii) Resistance
    Ohmmeter

    3.b) State two (2) types of testing and measuring instrument system in the electrical field.

    • Multimeter
    • Oscilloscope

    4.i) List any two (2) importance of maintenance.

    • Extends the lifespan of equipment and systems.
    • Prevents unexpected breakdowns and costly repairs.

    4.ii) What is AC transformer?
    An AC transformer is a static electrical device that transfers electrical energy between two or more circuits through electromagnetic induction, typically used to step up or step down AC voltage and current.

    4.iii) State two (2) types of transformer.

    • Step-up transformer
    • Step-down transformer

    4.iv) State two (2) uses or applications of a transformer.

    • Voltage transformation for power transmission (stepping up voltage for long distances, stepping down for distribution).
    • Isolation of circuits to prevent electrical shock or noise.

    4.v) Mention any two (2) importance of testing and measuring instruments.

    • Troubleshooting and diagnosing faults in electrical circuits.
    • Ensuring safety by verifying correct operation and identifying hazards.
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