📚 Year 11 WJEC Physics Unit 1 Mock Paper Analysis | WJEC物理单元一模拟卷精讲
Mock exams are a crucial part of Year 11 preparation for the WJEC GCSE Physics Unit 1: Electricity, Energy and Waves. This article analyses a typical mock paper, guiding you through common question types, essential formulas, and examiner tips to boost your confidence and grades.
模拟考试是十一年级学生备考WJEC GCSE物理单元一(电学、能量与波)的关键环节。本文通过解析一份典型模拟卷,带领你理清常见题型、核心公式和评分要点,有效提升应试信心与成绩。
1. Series Circuits: Resistance and Potential Difference | 串联电路:电阻与电势差
Question: A 12 V battery is connected in series with a 4 Ω resistor and an 8 Ω resistor. Calculate (a) the total resistance, (b) the current in the circuit, and (c) the potential difference across each resistor.
题目: 一个12 V电池与一个4 Ω电阻和一个8 Ω电阻串联。计算 (a) 总电阻,(b) 电路中的电流,(c) 每个电阻两端的电势差。
total resistance Rₜ is the sum of individual resistances: Rₜ = R₁ + R₂ = 4 Ω + 8 Ω = 12 Ω.
在串联电路中,总电阻 Rₜ 等于各个电阻之和:Rₜ = R₁ + R₂ = 4 Ω + 8 Ω = 12 Ω。
Using Ohm' = V / Rₜ = 12 V / 12 Ω = 1.0 A. The current is the same at all points in a series circuit.
应用欧姆定律,电流 I = V / Rₜ = 12 V / 12 Ω = 1.0 A。串联电路中各处电流相等。
= 1.0 A × 8 Ω = 8.0 V. Notice that their sum equals the supply voltage (4 V + 8 V = 12 V).
每个电阻的电压用 V = I × R 计算:V₁ = 1.0 A × 4 Ω = 4.0 V,V₂ = 1.0 A × 8 Ω = 8.0 V。注意它们之和等于电源电压(4 V + 8 V = 12 V)。
Always show the full calculation and unit conversions; marks are awarded for correct substitution and final unit.
务必展示完整计算和单位换算;正确的代入和最终单位都能得分。
2. Parallel Circuits: Total Resistance and Branch Currents | 并联电路:总电阻与支路电流
Question: A 6.0 V battery is connected to a 3 Ω resistor and a 6 Ω resistor in parallel. Determine (a) the total resistance, (b) the current drawn from the battery, and (c) the current in each branch.
题目: 一个6.0 V电池与一个3 Ω和一个6 Ω电阻并联。求 (a) 总电阻,(b) 电池提供的总电流,(c) 各支路电流。
, the total resistance Rₚ is given by 1/Rₚ = 1/R₁ + 1/R₂ = 1/3 + 1/6 = 3/6, so Rₚ = 2.0 Ω.
对于并联电阻,总电阻满足 1/Rₚ = 1/R₁ + 1/R₂ = 1/3 + 1/6 = 3/6,因此 Rₚ = 2.0 Ω。
The total current from the battery is Itotal = V / Rₚ = 6.0 V / 2.0 Ω = 3.0 A.
电池提供的总电流 Itotal = V / Rₚ = 6.0 V / 2.0 Ω = 3.0 A。
6.0 / 3 = 2.0 A, I₂ = 6.0 / 6 = 1.0 A. Check: 2.0 A + 1.0 A = 3.0 A, confirming Kirchhoff's first law.
支路电流通过 I = V / R 计算,因为每个并联支路两端电压均为6.0 V:I₁ = 6.0 / 3 = 2.0 A,I₂ = 6.0 / 6 = 1.0 A。检验:2.0 A + 1.0 A = 3.0 A,符合基尔霍夫第一定律。
3. Domestic Energy Consumption and Cost | 家庭电能消耗与费用计算
Question: A 2.5 kW oven is used for 1.5 hours. Electricity costs 12 p per kilowatt-hour. Calculate the energy transferred in kWh and the total cost.
题目: 一个2.5 kW的烤箱工作了1.5小时。电费为每千瓦时12便士。计算以kWh为单位的能量转移和总费用。
kW × 1.5 h = 3.75 kWh. This formula is key when dealing with domestic electricity meters.
电能 (kWh) = 功率 (kW) × 时间 (h)。E = 2.5 kW × 1.5 h = 3.75 kWh。处理家庭电表时该公式至关重要。
r kWh = 3.75 × 12 p = 45 p. Always express the final cost in the appropriate currency unit — here pence.
费用 = 电能 (kWh) × 单价 = 3.75 × 12 p = 45 p。最终费用需以正确货币单位表示——此处为便士。
ersion: 1 kW = 1000 W. If the power had been given in watts (2500 W), convert to kW first.
养成写出单位换算的习惯:1 kW = 1000 W。若功率以瓦特给出(2500 W),要先换算为千瓦。
4. Selecting the Correct Fuse for an Appliance | 为电器选择合适的保险丝
Question: A microwave oven is rated at 800 W, 230 V. Calculate the normal operating current and state which standard fuse rating (3 A, 5 A or 13 A) should be fitted in its plug.
题目: 一台微波炉额定功率800 W,额定电压230 V。计算其正常工作电流,并指出应该在插头中安装哪种标准额定值的保险丝(3 A、5 A或13 A)。
se 3.48 A > 3 A, while a 5 A fuse provides a safe margin and is the smallest standard rating above 3.48 A.
工作电流 I = P / V = 800 W / 230 V ≈ 3.48 A。3 A保险丝会因3.48 A > 3 A而熔断,而5 A保险丝提供了安全余量,且是大于3.48 A的最小标准额定值。
A 13 A fuse would be unsuitable because it allows a much larger current to flow before melting, reducing protection. The correct choice is 5 A.
13 A保险丝不合适,因为其允许大得多的电流通过才熔断,降低了保护作用。正确选择为5 A。
Always link the selection to the concept of overcurrent protection: the fuse melts and breaks the circuit if the current exceeds the rating, preventing overheating and fire.
务必把选择原因与过流保护概念联系起来:当电流超过额定值,保险丝熔断并切断电路,防止过热和火灾。
5. Specific Heat Capacity and Heating Time | 比热容与加热时间计算
Question: An electric heater raises the temperature of 2.0 kg of water from 15 °C to 95 °C. The specific heat capacity of water is 4200 J/kg°C. The heater is rated at 2500 W and operates at 90% efficiency. Calculate the time taken.
题目: 一个电加热器将2.0 kg水从15 °C加热到95 °C。水的比热容为4200 J/kg°C。加热器额定功率2500 W,效率为90%。计算所需时间。
mal energy needed: ΔE = m × c × Δθ = 2.0 × 4200 × (95 - 15) = 2.0 × 4200 × 80 = 672 000 J.
所需有用热能:ΔE = m × c × Δθ = 2.0 × 4200 × (95 - 15) = 2.0 × 4200 × 80 = 672 000 J。
With 90% energy input = useful energy / efficiency = 672 000 J / 0.90 = 746 667 J (approximately).
效率为90%,因此总输入电能 = 有用能量 / 效率 = 672 000 J / 0.90 ≈ 746 667 J。
t 5 minutes. Always check that the power is in watts and energy in joules for consistency.
最后,时间 t = 能量 / 功率 = 746 667 J / 2500 W ≈ 299 s,约5分钟。务必检查功率单位是瓦特、能量单位是焦耳,以保证单位一致。
6. Efficiency of an Energy Transfer | 能量转换的效率
Question: A crane motor has an input power of 4000 W and lifts a load, increasing its gravitational potential energy at a rate of 3000 J/s. Calculate the efficiency of the crane.
题目: 一台起重机电动机的输入功率为4000 W,提升重物时使重物的重力势能以3000 J/s的速率增加。计算起重机的效率。
Efficiency = (useful power output / total power input) × 100% = (3000 W / 4000 W) × 100% = 75%. The remaining 1000 W is dissipated as heat and sound energy.
效率 = (有用输出功率 / 总输入功率) × 100% = (3000 W / 4000 W) × 100% = 75%。剩余的1000 W以热量和声能形式耗散。
It is important to use the same units for both powers. Here, the rate of increasing potential energy (3000 J/s) is exactly 3000 W, so no conversion is needed.
两处的功率须使用相同单位。此处势能增加率(3000 J/s)正好就是3000 W,因此无需换算。
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