Combined 160: Edexcel A-Level Physics Core Revision | Edexcel A-Level物理核心160要点综合复习

📚 Combined 160: Edexcel A-Level Physics Core Revision | Edexcel A-Level物理核心160要点综合复习

This combined revision guide distills the Edexcel A-Level Physics syllabus into 160 essential concepts, organised across ten major topics. Whether you are preparing for Paper 1 (Advanced Physics I) or Paper 2 (Advanced Physics II), this summary strengthens your understanding of mechanics, fields, waves, particles, thermodynamics and astrophysics. Use it to quickly review key definitions, formulas and principles.

本综合复习指南将Edexcel A-Level物理教学大纲提炼为160个核心概念，分为十大主题。无论您正在准备Paper 1 (Advanced Physics I) 或 Paper 2 (Advanced Physics II)，这份总结都能帮助您巩固力学、场、波、粒子、热力学和天体物理等关键内容。借助它快速回顾重要定义、公式和原理。

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1. Mechanics, Motion and Forces | 力学、运动与力

Kinematics describes motion through displacement, velocity and acceleration. The four SUVAT equations link these quantities under constant acceleration. One key equation is v = u + at, and another is s = ut + ½at².

运动学通过位移、速度和加速度描述运动。四个运动学方程将匀加速条件下的这些量联系起来。一个关键方程为 v = u + at，另一个是 s = ut + ½at²。

Newton's first law states that an object remains at rest or in uniform motion unless a net external force acts on it. This is the principle of inertia.

牛顿第一定律指出物体将保持静止或匀速直线运动，除非有净外力作用。这就是惯性原理。

Newton's second law is expressed as F = ma, showing that force equals the rate of change of momentum. The vector sum of forces determines acceleration.

牛顿第二定律表示为 F = ma，表明力等于动量的变化率。力的矢量总和决定加速度。

The horizontal velocity is constant, while vertically the acceleration is g = 9.81 m s⁻².

抛体运动可分解为独立的水平和竖直分量。水平速度恒定，竖直方向加速度为重力加速度 g = 9.81 m s⁻²。

For an object in uniform circular motion, the centripetal acceleration is a = v²/r = ω²r and the centripetal force is F = mv²/r. The direction always points toward the centre.

对于匀速圆周运动，向心加速度为 a = v²/r = ω²r，向心力为 F = mv²/r。方向始终指向圆心。

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2. Work, Energy and Momentum | 功、能量与动量

Work done is the product of force and displacement in the direction of the force: W = F s cos θ. Energy is the capacity to do work; the principle of conservation of energy states that energy cannot be created or destroyed, only transferred.

功是力与在力方向上的位移的乘积：W = F s cos θ。能量是做功的本领；能量守恒原理指出能量既不能被创造也不能被消灭，只能转移。

Kinetic energy is Eₖ = ½mv² and gravitational potential energy near Earth's surface is Eₚ = mgh. In closed systems, the total mechanical energy remains constant if resistive forces are negligible.

动能为 Eₖ = ½mv²，地球表面附近的重力势能为 Eₚ = mgh。在封闭系统中，若阻力可忽略，总机械能保持不变。

Linear momentum p = mv is a vector quantity. The law of conservation of momentum states that total momentum before a collision equals total momentum after, provided no external forces act.

线动量 p = mv 是矢量。动量守恒定律指出，如果没有外力作用，碰撞前的总动量等于碰撞后的总动量。

In elastic collisions, both momentum and kinetic energy are conserved. In inelastic collisions, momentum is conserved but kinetic energy is not; some energy is transformed into heat or deformation.

在弹性碰撞中，动量和动能均守恒。在非弹性碰撞中，动量守恒但动能不守恒；部分能量转化为热能或形变能。

The impulse of a force equals the change in momentum: F Δt = Δp. This explains why crumple zones in cars reduce the force on passengers by extending collision time.

力的冲量等于动量的变化：F Δt = Δp。这解释了为什么汽车的溃缩区通过延长碰撞时间减小了乘员受到的力。

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3. Materials | 材料

Hooke's law states that extension is proportional to applied force, F = k ΔL, up to the limit of proportionality. The spring constant k measures stiffness.

胡克定律指出，在比例极限内，伸长量与施加的力成正比，F = k ΔL。弹簧常数 k 衡量刚度。

Stress is defined as force per unit area: σ = F/A. Strain is the extension per original length: ε = ΔL/L₀. Both are used to characterise material behaviour independently of dimensions.

应力定义为单位面积所受的力：σ = F/A。应变是伸长量与原长之比：ε = ΔL/L₀。两者用来描述材料的行为，与尺寸无关。

The Young modulus E = stress/strain quantifies the stiffness of a material. It applies only within the linear elastic region of the stress-strain curve.

杨氏模量 E = 应力/应变 量化了材料的刚度。它只适用于应力-应变曲线的线弹性区域。

Elastic deformation is reversible; plastic deformation is permanent. The area under a force-extension graph represents work done (strain energy).

弹性形变是可逆的；塑性形变是永久的。力-伸长图下的面积代表所做的功（应变能）。

Brittle materials fracture without significant plastic deformation, while ductile materials undergo large plastic strain before breaking. Toughness relates to energy absorbed up to fracture.

脆性材料在断裂前几乎没有塑性形变，而延性材料在断裂前会经历很大的塑性应变。韧性涉及断裂前吸收的能量。

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4. Waves and Optics | 波与光学

Progressive waves transfer energy without transferring matter. Transverse waves (e.g. light, waves on a string) oscillate perpendicular to the direction of energy transfer; longitudinal waves (e.g. sound) oscillate parallel.

行波传递能量而不传递物质。横波（如光、弦上的波）振动方向与能量传递方向垂直；纵波（如声波）振动方向平行。

The wave equation links speed, frequency and wavelength: v = f λ. Frequency is measured in hertz (Hz), wavelength in metres (m).

波动方程联系了波速、频率和波长：v = f λ。频率以赫兹（Hz）为单位，波长以米（m）为单位。

Superposition occurs when two waves meet; the resultant displacement is the vector sum. Constructive interference gives a larger amplitude, destructive gives a smaller (or zero) amplitude.

当两列波相遇时发生叠加；合位移是各位移的矢量和。相长干涉产生更大的振幅，相消干涉产生更小（或零）振幅。

Stationary waves are formed by the superposition of two identical progressive waves travelling in opposite directions. Nodes are points of zero displacement; antinodes have maximum amplitude.

驻波由两列相同行波相向传播叠加而形成。波节是位移为零的点；波腹具有最大振幅。

Diffraction is the spreading of waves around obstacles or through slits. Significant diffraction occurs when the slit width is comparable to the wavelength. The single-slit pattern has a central maximum with minima at d sin θ = n λ.

衍射是波绕过障碍物或穿过缝隙时发生的扩散现象。当缝宽与波长可比拟时，衍射显著。单缝衍射图样有中央明纹，极小满足 d sin θ = n λ。

In double-slit interference, bright fringes occur where d sin θ = n λ. The fringe spacing is given by w = λ D / s. This experiment demonstrates the wave nature of light.

在双缝干涉中，亮纹满足 d sin θ = n λ。条纹间距由 w = λ D / s 给出。该实验证明了光的波动性。

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5. Electricity and Circuits | 电学与电路

Electric current is the rate of flow of charge: I = ΔQ/Δt. The potential difference (p.d.) is the work done per unit charge: V = W/Q. Ohm's law (V = IR) holds for ohmic conductors at constant temperature.

电流是电荷的流动速率：I = ΔQ/Δt。电势差（电压）是每单位电荷所做的功：V = W/Q。欧姆定律（V = IR）在恒温下对欧姆导体成立。

Resistance depends on the material's resistivity, length and cross-sectional area: R = ρ L/A. Resistivity ρ is a material property measured in Ω m.

电阻取决于材料的电阻率、长度和横截面积：R = ρ L/A。电阻率 ρ 是材料属性，单位为 Ω m。

Power dissipated in a component can be expressed as P = IV = I²R = V²/R. Energy transferred is E = Pt.

元件消耗的功率可表示为 P = IV = I²R = V²/R。传递的能量为 E = Pt。

Kirchhoff's first law: total current entering a junction equals total current leaving (charge conservation). Second law: around any closed loop, the sum of e.m.f.s equals the sum of p.d.s (energy conservation).

基尔霍夫第一定律：流入节点的电流总和等于流出节点的电流总和（电荷守恒）。第二定律：绕任何闭合回路，电动势总和等于电压降总和（能量守恒）。

Potential dividers split voltage proportionally. For two resistors in series, V_out = V_in × R₂/(R₁+R₂). A thermistor or LDR in a potential divider creates a sensor circuit.

分压器按比例分配电压。两个电阻串联时，V_out = V_in × R₂/(R₁+R₂)。在分压器中使用热敏电阻或光敏电阻可构成传感器电路。

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6. Fields: Electric and Magnetic | 电场与磁场

An electric field is a region where a charge experiences a force. Electric field strength is E = F/Q. For a point charge, E = kQ/r² (where k = 1/(4πε₀)).

电场是电荷会受到力的区域。电场强度为 E = F/Q。对于点电荷，E = kQ/r²（其中 k = 1/(4πε₀)）。

Electric potential is the work done per unit charge bringing a small positive test charge from infinity to that point: V = kQ/r. Equipotential surfaces are perpendicular to field lines.

电势是将单位正检验电荷从无穷远移到该点所做的功：V = kQ/r。等势面与电场线垂直。

Coulomb's law gives the force between two point charges: F = kQ₁Q₂/r². Like charges repel, unlike charges attract.

库仑定律给出两点电荷之间的力：F = kQ₁Q₂/r²。同种电荷相互排斥，异种电荷相互吸引。

Magnetic flux density B is defined by the force on a current-carrying conductor: F = B I L sinθ. The unit is the tesla (T). Field lines run from north to south.

磁通量密度 B 通过通电导体所受的力定义：F = B I L sinθ。单位是特斯拉（T）。磁感线从北极指向南极。

For a charged particle moving perpendicular to a uniform magnetic field, the magnetic force provides centripetal force: Bqv = mv²/r. This leads to circular motion with radius r = mv/(Bq).

对于垂直于匀强磁场运动的带电粒子，磁力提供向心力：Bqv = mv²/r。这导致圆周运动，半径 r = mv/(Bq)。

Electromagnetic induction occurs when a conductor cuts magnetic flux. Faraday's law: induced e.m.f. equals the rate of change of flux linkage, ε = -N ΔΦ/Δt. Lenz's law determines the direction.

当导体切割磁通量时发生电磁感应。法拉第定律：感应电动势等于磁链的变化率，ε = -N ΔΦ/Δt。楞次定律决定方向。

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7. Capacitors and Exponential Decay | 电容器与指数衰减

Capacitance is the charge stored per unit potential difference: C = Q/V, measured in farads (F). The energy stored is E = ½QV = ½CV².

电容是每单位电势差储存的电荷：C = Q/V，单位为法拉（F）。储存的能量为 E = ½QV = ½CV²。

In a discharging capacitor through a resistor, the charge, current and p.d. decay exponentially: Q = Q₀ e^-t/RC, V = V₀ e^-t/RC. The time constant τ = RC is the time taken for the quantity to fall to 1/e (about 37%) of its initial value.

在电容器通过电阻放电时，电荷、电流和电压按指数衰减：Q = Q₀ e^-t/RC，V = V₀ e^-t/RC。时间常数 τ = RC 是这些量降至初始值的 1/e（约37%）所需的时间。

During charging, the p.d. across the capacitor rises: V = V₀ (1 - e^-t/RC). The current decreases from a maximum. The graphs show an exponential approach to the final value.

充电时，电容器两端的电压上升：V = V₀ (1 - e^-t/RC)。电流从一开始的最大值逐渐减小。图线呈指数趋近终值。

Log-linear plots can be used to verify exponential behaviour. For discharge, plotting ln V against t yields a straight line with gradient -1/RC.

可用对数-线性图验证指数行为。对于放电，绘制 ln V 对 t 得到一条直线，斜率为 -1/RC。

Capacitors are used in smoothing circuits, timing circuits and flash photography. The time constant controls the rate of charge or discharge.

电容器用于滤波电路、定时电路和闪光灯。时间常数控制充放电的速率。

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8. Nuclear and Particle Physics | 核物理与粒子物理

Rutherford's alpha-scattering experiment revealed that the atom has a small, dense, positively charged nucleus. Most alpha particles passed through the gold foil with little deflection.

卢瑟福的α散射实验揭示了原子有一个小而致密、带正电的原子核。大多数α粒子穿过金箔时偏转很小。

The atomic nucleus contains protons and neutrons (nucleons). The atomic number Z is the number of protons; the mass number A is the total number of nucleons. Isotopes have the same Z but different A.

原子核包含质子和中子（核子）。原子序数 Z 是质子数；质量数 A 是核子总数。同位素具有相同的 Z 但不同的 A。

Radioactive decay is random and spontaneous. Activity A is the rate of decay: A = -dN/dt = λ N. The decay constant λ is related to half-life by T₁/₂ = ln2/λ.

放射性衰变是随机且自发的。活度 A 是衰变速率：A = -dN/dt = λ N。衰变常量 λ 与半衰期的关系为 T₁/₂ = ln2/λ。

Alpha decay emits a helium nucleus (⁴₂He), beta-minus decay emits an electron and an antineutrino, beta-plus emits a positron and a neutrino. Gamma decay releases a high-energy photon.

α衰变放出一个氦核（⁴₂He），β⁻衰变放出一个电子和一个反中微子，β⁺衰变放出一个正电子和一个中微子。γ衰变释放高能光子。

The nuclear radius R depends on mass number: R = R₀ A^1/3 1.2 fm. Nuclear density is constant for all nuclei, indicating a densely packed structure.

原子核半径 R 依赖于质量数：R = R₀ A^1/3，其中 R₀ ≈ 1.2 fm。所有原子核的核密度大致恒定，表明核子是密集堆积的。

Particle physics classifies matter into hadrons (baryons and mesons) and leptons. Quarks combine to form hadrons; the conservation laws of charge, baryon number and lepton number govern interactions.

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