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SPC-M3 · 电学SPC-M3 · Electricity & magnetism
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题型概述:电学与磁学Question types: electricity & magnetism

SPC 电磁学题既有快速判断,也有把电路和实际情境连接起来的多步计算。本组选取三道各 1 练习分的 Part I 题,以及 7 练习分和 4 练习分的 Part II 题,共 14 练习分。最容易失分的地方是漏掉支路电流、单位前缀换错,以及混淆单次事件与长期平均。SPC electricity questions range from quick judgements to multi-step circuit and real-world calculations. This set has three Part I questions worth 1 practice point each and Part II questions worth 7 and 4 practice points, totalling 14 practice points. Common losses come from missing branch currents, incorrect unit prefixes and mixing single events with long-term averages.

所提供源文件未标注每题官方分值。页面按可判分输入均分练习分;这些不是官方分值。The supplied sources omit per-question marks. Practice points are shared equally among graded inputs; these are not official marks.

1电荷与能量要分别守恒Keep charge and energy distinct

电流是电荷经过截面的速率;电势差是每单位电荷转移的能量。环形束流中,同一批电荷可以反复经过同一截面。Current is charge crossing a section per second; voltage is energy transferred per unit charge. In a circulating beam, the same charge repeatedly crosses the same section.

I=ΔQ/Δt;   W=QV;   P=VI

电荷量用 C,能量用 J,功率用 W。Charge in C, energy in J, power in W.

通过的电荷:Charge passing:固定 2 s,电压 3 V。Fixed duration 2 s, voltage 3 V.

2先辨认节点,再使用欧姆定律Identify nodes before using Ohm’s law

并联支路电压相同,串联部分通过总电流。电压表只有在电阻足够大时才近似不扰动电路。Parallel branches share a voltage; series sections carry the total current. A voltmeter is approximately non-invasive only when its resistance is sufficiently large.

ΣIin=ΣIout;   V=IR;   P=I²R=V²/R

先画出电流分流,再选择方便的功率公式。Mark current splits first, then choose the useful power formula.

3相互作用与场强Interactions and field strength

两个电荷间的相互作用力等大反向。另一个常见模型是近似均匀电场:固定电压下,间距越小,平均场强越大。Two charges exert equal and opposite forces on each other. In a separate common model, the mean field between two potentials grows as their separation decreases.

F=k|q₁q₂|/r²;   E≈V/h

不要混淆点电荷的反平方定律和均匀场模型。Do not confuse the inverse-square point-charge field with a uniform-field model.

子题型Sub-type识别特征How to spot it核心步骤Core step真题Question
作用力对Interaction pair电荷量不相等Unequal charges交换两电荷检验对称性Exchange the two charges2013 I-1
电阻功率比Resistor power ratios混联、已知一支路功率Mixed network; one known power先求各支路电流比Find branch-current ratios2014 I-7
循环电流Circulating current周长、每团粒子数Circumference and bunch population整束电荷除以周期Beam charge divided by period2017 I-4
测量扰动Measurement loading非理想电源或电压表Non-ideal source or meter重新列节点方程Rebuild the node equation2023 II-9
宏观电学估算Macroscopic estimates雷暴、电流、能量Storms, current, energy统一时间和体积基准Use common time and volume bases2024 II-11