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A. Mention and draw the waveform of the two types of current voltage sources causes. b. What is a Multimeter and state its types. c. (i) What is an oscilloscope ii. The graphical display from an oscilloscope can show many things from a signal, state seven (7) of such things.

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QUESTION ONE

a) i.
Voltage is the electric potential difference between two points in an electric circuit, representing the work done per unit charge to move a test charge between the two points. Its unit is the volt (V).
Current is the rate of flow of electric charge past a point or region in an electric circuit. Its unit is the ampere (A).

a) ii.
Resistance in electricity is the opposition to the flow of electric current in a circuit. It converts electrical energy into heat and is measured in ohms (Ω\Omega).

a) iii.
Ohm's Law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them, provided the temperature and other physical conditions remain constant.

V=IRV = IR

Where VV is voltage, II is current, and RR is resistance.

b)

  • In a series circuit, components are connected end-to-end, forming a single path for current. The current is the same through all components, and the total resistance is the sum of individual resistances. The voltage drops across each component add up to the total voltage.
  • In a parallel circuit, components are connected across the same two points, providing multiple paths for current. The voltage across each component is the same, and the total current is the sum of currents through individual branches. The reciprocal of the total resistance is the sum of the reciprocals of individual resistances.

c)

  1. Identify the given values and convert units.

    Given voltage, V=10 VV = 10 \text{ V}.
    Given resistance, R=10 kΩR = 10 \text{ k}\Omega.
    Convert resistance to ohms: 10 kΩ=10×1000 Ω=10000 Ω10 \text{ k}\Omega = 10 \times 1000 \text{ } \Omega = 10000 \text{ } \Omega.

  2. Apply Ohm's Law to calculate the current.

    Ohm's Law states V=IRV = IR, so I=VRI = \frac{V}{R}.

    I=10 V10000 ΩI = \frac{10 \text{ V}}{10000 \text{ } \Omega}

  3. Calculate the current.

    I=0.001 AI = 0.001 \text{ A}

    The current in the circuit is 0.001 A\boxed{\text{0.001 A}}.

    QUESTION TWO

    a)
    The two types of current/voltage sources are Direct Current (DC) and Alternating Current (AC).

    • Direct Current (DC): The current flows in only one direction, and the voltage remains constant over time. Waveform:
    \begin{tikzpicture} \draw[->] (0,0) -- (4,0) node[right] {Time}; \draw[->] (0,-1) -- (0,1) node[above] {Voltage/Current}; \draw[thick, blue] (0,0.5) -- (4,0.5); \node at (2,0.75) {DC}; \end{tikzpicture}
    • Alternating Current (AC): The current periodically reverses direction, and the voltage level continuously varies over time, typically in a sinusoidal pattern. Waveform:
    \begin{tikzpicture} \draw[->] (0,0) -- (4,0) node[right] {Time}; \draw[->] (0,-1) -- (0,1) node[above] {Voltage/Current}; \draw[thick, red] (0,0) sin (1,0.7) cos (2,0) sin (3,-0.7) cos (4,0); \node at (2,0.75) {AC}; \end{tikzpicture}

    b)
    A multimeter is an electronic measuring instrument that combines several measurement functions in one unit. It is used to measure voltage, current, and resistance.
    Its types include:

    • Analog Multimeter: Uses a microammeter with a moving pointer to display readings.
    • Digital Multimeter (DMM): Displays readings as numerical values on an LCD screen.

    c) i.
    An oscilloscope is an electronic test instrument that graphically displays varying signal voltages, usually as a two-dimensional plot of one or more signals as a function of time. It allows for the observation of the shape, amplitude, and frequency of electrical signals.

    c) ii.
    The graphical display from an oscilloscope can show many things from a signal, including:

    1. Amplitude: The peak voltage or peak-to-peak voltage of the signal.
    2. Frequency: The number of cycles per second of a periodic signal.
    3. Period: The time taken for one complete cycle of a periodic signal.
    4. Waveform Shape: The visual representation of the signal (e.g., sine wave, square wave, triangular wave).
    5. Rise Time: The time taken for a signal to rise from a specified low value to a specified high value.
    6. Fall Time: The time taken for a signal to fall from a specified high value to a specified low value.
    7. Phase Difference: The time delay or advance between two related signals.
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