# 【DSE Physics Formula Sheet】物理公式表 (中文+English) ## DSE 物理公式表中文版 (by topic 整理)

### where s = 位移 (+/—ive) (單位: m)

where u, v = 速度 (+/—ive) (單位: m s—1)

where a = 加速度 (+/—ive) (單位: m s—1)

Formulas A1-A5

### 溫度 & 物態 where E = 能量 (單位: J)

where m = 質量 (單位: kg)

where c = 比熱容量 (單位: J kg—1 K—1)

where l = 潛熱 (單位:  J kg—1)

### 理想氣體 where p = 壓強 (單位: Pa)

where V = 體積 (單位: m3)

where R = 8.31 (單位: J mol—1 K—1)

where T = 溫度 (單位: K)

where kB = 1.38 × 10-23  (單位: J K—1) ;

where EK = 動能 (單位: J)

where NA = 6.02 x 1023 (單位: mol—1)

Formulas B1-B7

### 動量 where F = 力 (單位: N)

where m = 質量 (單位: kg)

### 轉矩 where F = 力 (單位: N)

### 能量 & 功率 where Ep = 重力勢能 (單位: J)

where m = 質量 (單位: kg)

where g = 9.81 (單位: m s—2)

where Ek = 動能 (單位: J)

where P = 機械功率 (單位: W)

where F = 施加力 (單位: N)

### 圓週運動 where a = 向心加速度 (單位: m s—2)

where ω = 角速度 (單位: rad s—1)

where f = 頻率 (單位: Hz)

where F = 向心力 (單位:  N)

### where  F = 量值引力 (單位: N)

where G = 6.67 × 10-11 (單位: N m2 kg—2)

where m1, m2 = 質量 (單位: kg)

where r = 距離 (單位: m)

Formulas C1-C3

### 雙狹縫 & 衍射光柵 where  Δy = 條紋之間的距離 (單位: m)

where λ = 波長 (單位: m)

where D = 雙狹縫與條紋之間的距離 (單位: m)

where a = 雙狹縫之間的距離 (單位: m)

where d = 衍射光柵之間的距離 (單位: m)

where n = 0, 1, 2, 3

### 透鏡 where u = 物距 (單位: m)

where v = 像距 (單位: m)

where f = 焦距  (單位: m)

Formulas D1-D13

### 電場 where F = 靜電力 (單位: N)

where Ɛ0 = 8.85 × 10-12 (單位: C2 N—1 m—2)

where Q1, Q2  = 電荷 (單位: C)

where r = 距離 (單位: m) where E = 電場強度 (單位: N C—1  or  V m—1 )

where Q = 電荷 (單位: C)

where V = 電勢差 (單位: V)

where d = 平行板間的距離 (單位: m)

### 電阻率 where R = 電阻 (單位: Ω)

where ρ = 電阻率 (單位: Ωm)

where l = 長度 (單位: m)

where A = 橫截面面積  (單位: m2)

### where R = 等效電阻 (單位: Ω)

### 電路 where P = 功率 (單位: W)

where I = 電流 (單位: A)

where V = 電勢差 (單位: V)

where R = 電阻 (單位: Ω)

### 磁場對運動電荷的作用力 where F = 力 (單位: N)

where B = 磁場強度 (單位: T)

where Q = 電荷 (單位: C)

### 磁場對載流導體的作用力 where F = 力 (單位: N)

where B = 磁場強度 (單位: T)

where I = 電流 (單位: A)

where L = 長度 (單位: m)

### 長直導線所產生的磁場 where B = 磁場強度 (單位: T)

where μ0 = 4π × 10-7 (單位: H m—1)

where I = 電流 (單位: A)

where r = 距離 (單位: m)

### 螺線管中的磁場 where B = 磁場強度 (單位: T)

where μ0 = 4π × 10-7 (單位: H m—1)

where I = 電流 (單位: A)

where l = 螺線管長度 (單位: m)

### 感生電動勢 where ε = 感應電動勢

where Δφ = 磁通量的改變 (單位: Wb)

where Δt = 時間間隔 (單位: s)

where φ = 磁通量(單位: Wb)

### 變壓器 where VS = 副線圈電勢差(單位: V)

where VP = 原線圈電勢差(單位: V)

where NS = 副線圈線圈數量

where NP = 原線圈線圈數量

Formulas E1-E4

### where N = 剩餘的不衰變放射性核

where k = 衰變/放射常數 (單位: s—1)

where t = 時間間隔 (單位: s)

where t1/2 = 半衰期 (單位: s)

### where E = 能量 (單位: J or eV)

where m = 質量 (單位: kg or eV/c2 )

where c = 3 × 108 (單位: m s—1)

## DSE Physics Formula Sheet English Version (by topic)

### where s = displacement (+/—ive) (units: m)

where u, v = initial, final velocity (+/—ive) (units: m s—1)

where a = acceleration (+/—ive) (units: m s—1)

where t = time (≥ 0)  (units: s)

Formulas A1-A5

### Temperature & State where E = energy (units: J)

where m = mass (units: kg)

where c = specific heat capacity (units: J kg—1 K—1)

where ΔT = change in temperature (units: K)

where l = latent heat (units:  J kg—1)

### Ideal Gas where p = pressure (units: Pa

where V = volume (units: m3)

where n = number of moles of gas

where R = 8.31 (units: J mol—1 K—1)

where T = temperature (units: K)

where N = number of gas molecules

where kB = 1.38 × 10-23 (units: J K—1)

where EK = KE (units: J)

where NA = 6.02 x 1023 (units: mol—1)

Formulas B1-B7

### Force & Momentum where F = force (units: N)

where m = mass (units: kg)

### Moments where F = force (units: N)

### Energy & Power where EP = gravitational PE (units: J)

where m = mass (units: kg )

where g = 9.81 (units: m s—2)

where EK = KE (units: J)

where P = mechanical power (units: W)

where F = applied force (units: N)

### where a = centripetal acceleration (units: m s—2)

where v = speed (units: m s—1)

Where r = radius (units: m)

Where ω = angular velocity (units: rad s—1)

where f = frequency (units: Hz)

where F = centripetal force (units:  N)

### where F = gravitational force (units: N)

where G = 6.67 × 10-11 (units: N m2 kg—2

where m1, m2 = mass (units: kg)

where r = separation (units: m)

Formulas C1-C3

### where Δy = separation between fringes (units: m)

where λ = wavelength (units: m)

where D = separation between the double-slit & the screen (units: m)

where a = separation between the slits  (units: m

where d = separation between each grating (units: m)

where n = order = 0, 1, 2, 3

### Lenses where u = object distance (units: m)

where v = image distance (units: m)

where f = focal length (units: m)

Formulas D1-D13

### Electric Fields where F = electrostatic force (units: N)

where Ɛ0 = 8.85 × 10-12 (units: C2 N—1 m—2)

where Q1, Q2 = electric charge (units: C)

where r = separation (units: m) where E = electric field strength (units: N C—1 or  V m—1)

where Q = charge (units: C)

where V = potential difference (units: V)

where d = separation (units: m)

### Resistivity where R = resistance (units: Ω)

where ρ = resistivity (units: Ωm)

where l = length (units: m)

where A = cross sectional area (units: m2)

### Resistors where R = equivalent resistance (units: Ω

### Electric Circuits where P = power (units: W)

where I = current (units: A)

where V = potential difference (units: V)

where R = resistance (units: Ω)

### Force on a Moving Charge in a Magnetic Field / B-field where F = magnetic force (units: N)

where B = magnetic field strength (units: T)

where Q = charge (units: C)

### Force on a Current-carrying Conductor in a Magnetic Field/ B-field where F = magnetic force (units: N)

where B = magnetic field strength (units: T)

where I = current (units: A)

where L = length (units: m)

### where B = magnetic field strength  (units: T)

where μ0 = 4π × 10-7 (units: H m—1)

where I = current (units: A)

where r = distance (units: m)

### Magnetic Field/ B-field due to a Long Solenoid where B = magnetic field strength (units: T)

where μ0 = 4π × 10-7 (units: H m—1)

where I = current (units: A)

where l = total length of the solenoid (units: m)

### Induced e.m.f. where ε = induced e.m.f

where Δφ = change in magnetic flux (units: Wb)

where Δt = time interval (units: s)

where φ = magnetic flux (units: Wb)

### Transformers where VS = potential difference across the Secondary coil (units: V)

where VP = potential difference across the Primary coil (units: V)

where NS = number of turns in the Secondary coil

where NP = number of turns/ windings in the Primary coil

Formulas E1-E4 where N = number of undecayed radioactive nuclei

where k = decay constant (units: s—1)

where t = time (units: s)

where t1/2 = half-life (units: s)

where A = activity (units: Bq)

### Energy-mass Equivalence where E = energy (units: J  or  eV)

where m = mass (units: kg  or  eV/c2 )

where c = 3 × 108 (units: m s—1)

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