Question
27. Assume that the cell battery in the circuit you drew puts out 9 V of electricity and the resistances of eachlight bulb is 1.5Q. Each light bulb is also a 9V bulb. 1. Using the rules of ohm's low for series circuits, determine the current (I) of each ligh bulb.Also determine the total resistance of the circuit. (4 morks) Givens: Required: Analysis: Substitution: Statement ii. Since you now know the total al volidge and current of this circuit, determine the Energy consumption of this circuit over 2 hours. Report your results in Wh. (2 mor Givens: Required: Analysis: Substitution: Statement 28. You are shopping for a new stove for your home. You find one with an Energy Star rating o 0.18/kWh how much would it cost you annually? (3 marks) kWh/year.If the cost of electricity in the evening, when this type of device is most often us Givens: Required: Analysis: Substitution: Statement CHEMISTRY (9 marks) -Neatly & clearly answer all questions in the space provided. Page 8 of 12
Solution
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Kassandra
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Answer
**27. i. Light Bulb Calculations in a Series Circuit*** **Givens:** * Voltage (V) = 9V * Resistance per bulb (R) = 1.5 Ω * Number of bulbs = (Not specified in the question, assuming 2 for demonstration, adjust accordingly if different)* **Required:** * Current (I) through each bulb * Total resistance (RT)* **Analysis:** * In a series circuit, the total resistance is the sum of individual resistances: RT = R1 + R2 + ... * The current is the same through all components in a series circuit: I = V / RT * Ohm's Law: V = IR* **Substitution:** * RT = 1.5 Ω + 1.5 Ω = 3 Ω (assuming two bulbs) * I = 9V / 3 Ω = 3A* **Statement:** The current through each light bulb is 3A, and the total resistance of the circuit is 3 Ω. (Adjust calculations if a different number of bulbs is specified in the original question).**27. ii. Energy Consumption Calculation*** **Givens:** * Voltage (V) = 9V * Current (I) = 3A (calculated above) * Time (t) = 2 hours* **Required:** * Energy consumption (E) in Wh* **Analysis:** * Power (P) = VI * Energy (E) = Pt* **Substitution:** * P = 9V * 3A = 27W * E = 27W * 2h = 54Wh* **Statement:** The energy consumption of the circuit over 2 hours is 54 Wh.**28. Annual Stove Cost Calculation*** **Givens:** * Energy consumption of stove = 877 kWh/year * Cost of electricity =
0.18/kWh =
157.86.**CHEMISTRY SECTION:** The prompt does not provide any chemistry questions. Please provide the chemistry questions you would like answered.