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Solve 3 (b) (i) Ammeter reading when key K is open.
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7 stepsSolve 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 .Solve 3 (b) (ii) Voltmeter reading when key K is open.
When the key K is open, the branch with the 20 resistor is still connected directly across the 12 V voltage source. Therefore, the voltage across the 20 resistor is the source voltage.
The voltmeter reading will be .Solve 3 (c) Combined resistance when key K is closed.
The circuit diagram shows two resistors in parallel. One resistor is 20 . The other resistor (in the branch with the switch and ammeter) has no value indicated. We will assume this unlabeled resistor is also for the calculation.
When the key K is closed, the two resistors are in parallel.
The combined resistance () for two parallel resistors is given by:Substituting the values:
The combined resistance of the circuit is (assuming the unlabeled resistor is ).
Solve 3 (d) Ammeter reading when key K is closed.
Assuming the resistor in the ammeter branch is , and the key K is closed, the voltage across this parallel branch is .
The current () through this branch is given by Ohm's Law:Substituting the values:
The ammeter reading will be (assuming the unlabeled resistor is ).
Solve 3 (e) (i) Equivalence of 1 kWh in joules.
1 kilowatt-hour (kWh) is a unit of energy.
Convert kilowatts to watts and hours to seconds:
Solve 3 (e) (ii) Calculate the cost of electricity.
First, calculate the total power consumption:
Power of cooker =
Power of immersion heater =
Total power =
Next, calculate the total energy consumed per day:
Energy = Total power Time
Energy =
Finally, calculate the total cost:
Cost = Energy consumed Cost per kWh
Cost =
The cost of electricity used isSolve 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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