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Solve 3 (b) (i) Ammeter reading when key K is open.

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  1. Solve 3 (b) (i) Ammeter reading when key K is open.

    When the key K is open, the circuit branch containing the ammeter is an open circuit. No current can flow through an open circuit.
    The ammeter reading will be 0 A0 \, \text{A}.

  2. Solve 3 (b) (ii) Voltmeter reading when key K is open.

    When the key K is open, the branch with the 20 Ω\Omega resistor is still connected directly across the 12 V voltage source. Therefore, the voltage across the 20 Ω\Omega resistor is the source voltage.
    The voltmeter reading will be 12 V12 \, \text{V}.

  3. Solve 3 (c) Combined resistance when key K is closed.

    The circuit diagram shows two resistors in parallel. One resistor is 20 Ω\Omega. The other resistor (in the branch with the switch and ammeter) has no value indicated. We will assume this unlabeled resistor is also 20 Ω20 \, \Omega for the calculation.
    When the key K is closed, the two 20 Ω20 \, \Omega resistors are in parallel.
    The combined resistance (ReqR_{eq}) for two parallel resistors is given by:

    Req=R1×R2R1+R2R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2}

    Substituting the values:

    Req=20 Ω×20 Ω20 Ω+20 Ω=400 Ω240 Ω=10 ΩR_{eq} = \frac{20 \, \Omega \times 20 \, \Omega}{20 \, \Omega + 20 \, \Omega} = \frac{400 \, \Omega^2}{40 \, \Omega} = 10 \, \Omega

    The combined resistance of the circuit is 10 Ω\boxed{\text{}10 \, \Omega\text{}} (assuming the unlabeled resistor is 20 Ω20 \, \Omega).

  4. Solve 3 (d) Ammeter reading when key K is closed.

    Assuming the resistor in the ammeter branch is 20 Ω20 \, \Omega, and the key K is closed, the voltage across this parallel branch is 12 V12 \, \text{V}.
    The current (II) through this branch is given by Ohm's Law:

    I=VRI = \frac{V}{R}

    Substituting the values:

    I=12 V20 Ω=0.6 AI = \frac{12 \, \text{V}}{20 \, \Omega} = 0.6 \, \text{A}

    The ammeter reading will be 0.6 A\boxed{\text{}0.6 \, \text{A}\text{}} (assuming the unlabeled resistor is 20 Ω20 \, \Omega).

  5. Solve 3 (e) (i) Equivalence of 1 kWh in joules.

    1 kilowatt-hour (kWh) is a unit of energy.

    1 kWh=1 kW×1 h1 \, \text{kWh} = 1 \, \text{kW} \times 1 \, \text{h}

    Convert kilowatts to watts and hours to seconds:

    1 kW=1000 W1 \, \text{kW} = 1000 \, \text{W} 1 h=3600 s1 \, \text{h} = 3600 \, \text{s} 1 kWh=1000 W×3600 s=3,600,000 J1 \, \text{kWh} = 1000 \, \text{W} \times 3600 \, \text{s} = 3,600,000 \, \text{J} 1 kWh=3.6×106 J1 \, \text{kWh} = \boxed{\text{}3.6 \times 10^6 \, \text{J}\text{}}
  6. Solve 3 (e) (ii) Calculate the cost of electricity.

    First, calculate the total power consumption:
    Power of cooker = 1000 W=1 kW1000 \, \text{W} = 1 \, \text{kW}
    Power of immersion heater = 300 W=0.3 kW300 \, \text{W} = 0.3 \, \text{kW}
    Total power = 1 kW+0.3 kW=1.3 kW1 \, \text{kW} + 0.3 \, \text{kW} = 1.3 \, \text{kW}
    Next, calculate the total energy consumed per day:
    Energy = Total power ×\times Time
    Energy = 1.3 kW×10 h=13 kWh1.3 \, \text{kW} \times 10 \, \text{h} = 13 \, \text{kWh}
    Finally, calculate the total cost:
    Cost = Energy consumed ×\times Cost per kWh
    Cost = 13 kWh×75 frs/kWh=975 frs13 \, \text{kWh} \times 75 \, \text{frs/kWh} = 975 \, \text{frs}
    The cost of electricity used is 975 frs\boxed{\text{}975 \, \text{frs}\text{}}

  7. Solve 4 (a) (i) Two properties of plastics useful as engineering materials.

    Two properties of plastics that make them useful as engineering materials are:

    • They are lightweight with a high strength-to-weight ratio.
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