Physics II, PHY201
Formulas sheet
๐๐ = 9.11๏ด 10−31 ๐๐
๐ = 9๏ด 109
Midterm/Final Exams
๐ = 1.6๏ด 10−19 ๐ถ
๐.๐2
๐๐ = 1.67๏ด 10−27 ๐๐
๐ถ2
๐
๏ฅ๐ = 8.85๏ด 10−12 ๐๐2
๐ถ2
๐๐ด = 6.02๏ด 1023 ๐๐๐ −1 ๏ญ๐ = 4๏ฐ ๏ด 10−7
๐ = 9.81 2
๐
๐.๐
1 ๐๐ = 1.6๏ด 10−19 ๐ฝ
๐ด
4
๐ถ๐๐๐๐๐: ๐ = 2๏ฐ๐, ๐ด = ๏ฐ๐ 2
๐๐โ๐๐๐: ๐ด = 4๏ฐ๐ 2 , ๐ = ๐๐ 3
3
๐ถ๐ฆ๐๐๐๐๐๐: ๐ด๐๐๐ก๐๐๐๐ = 2๏ฐ๐โ , ๐ = ๏ฐ๐ 2 โ
๐ฃ2
๐ sin (2๐๐ )
๐
๐๐๐๐ =
๐๐๐๐ก = Δ๐พ
๐ธ๐ค๐๐๐ =
๐
๐
๐ธ=๐ 2
๐
๐
2๐๐ 0 ๐
๐ = ๐∫
๐
๐ธ๐ฅ = −
๐ถ=
๐
๐
๐ถ๐๐ = ๐ถ1 + ๐ถ2 + ๐ถ3
๐๐ฃ 2
๐๐
๐
๐๐
๐๐ฅ
๐ถ=
๐พ๐๐ ๐ด
๐
๐
๐๐
๐ธ = ∫๐ 2
๐
๐ธ๐๐๐๐ = ๐ ( 2
๐๐ฅ
3
๐ฅ +๐2 ) ⁄2
๐๐๐๐
๐๐
๐พ = ๐๐ฃ 2
2
Δ๐ = ๐Δ๐
๐นโ = ๐๐ธโโ
๐ธ๐๐๐ ๐ =
๐
2๐ 0
[1 −
๐ฅ
√๐ฅ2 +๐
2
Φ = ๐ธ๐ด๐๐๐ ๐
๐
โ๐ = − ∫๐ ๐ธโโ ⋅ ๐๐โ
๐๐
๐๐ฆ
๐1 ๐2
๐=๐
๐
1
Δ๐พ = − Δ๐
๐พ๐ + ๐๐ = ๐พ๐ + ๐๐
โโโ =
Φ๐๐๐ก = โฎ โโโ
๐ฌ โ ๐๐จ
๐=๐
2
๐ = − Δ๐
๐
2๐ 0
1
โ๐ฅ = ๐ฃ๐ ๐ก + ๐๐ก2
๐น๐ =
๐ ๐
๐
2๐
๐๐ = ๐๐
๐น = ๐ 12 2
๐ธ๐๐๐๐๐ =
๐
๐ฃ 2 − ๐ฃ๐2 = 2๐โ๐ฅ
๐ฃ = ๐ฃ๐ + ๐๐ก
๐น๐๐๐ก = ๐๐
๐ฃ2 sin2 ๐0
๐ป๐๐๐ฅ = ๐
Δ๐ = −๐ธ๐
โ๐ =
๐๐
๐๐ง
๐ธ๐ฆ = −
๐ธ๐ง = −
๐ถ = ๐พ๐ถ๐
(๐พ = 1 for vacuum, air)
๐2 1 2 1
๐=
= ๐ถ๐ = ๐๐
2๐ถ 2
2
1
1
1
1
๐๐๐๐๐๐๐๐
= + +
๐ถ๐๐ ๐ถ1 ๐ถ2 ๐ถ3
๐๐๐๐๐๐
โ๐
๐๐
]
๐ผ=
๐
๐ก
๐ผ
๐ด
๐
=๐
๐ = ๐๐ [1 + ๐ผ (๐ − ๐๐ )]
๐ฝ = ๐๐๐ฃ๐
๐ผ=
๐
๐
=
๐๐
๐๐ก
๐ฝ=
๐ = ๐ผ๐
๐ผ
๐
๐ด
1
๐
๐ธ = ๐. ๐ฝ
๐=
๐๐ฃ ๐๐ด ๐๐ท
๐
๐2
๐ = ๐ผ2 ๐
๐=
1
1
1
1
=
+ +
๐
๐ก ๐
1 ๐
2 ๐
3
๐๐๐๐๐๐๐๐
๐ = ๐ผ๐
๐
๐ก = ๐
1 + ๐
2 + ๐
3 ๐๐๐๐๐๐
๐=
๐
Charging
๐ก
๐(๐ก) = ๐๐๐๐ฅ (1 − ๐ −๐
๐ถ )
๐ผ๐
= ๐ผ๐๐๐ฅ ๐
๐ก
− ๐
๐ถ
๐ผ๐๐๐ฅ =
๐ก
๐๐ = ๐๐ (1 − ๐ −๐
๐ถ )
๐๐๐๐ฅ = ๐ถ๐๐
๐๐
๐ = ๐๐๐๐ฅ (1 − ๐
๐
๐ก
− ๐
๐ถ
2
)
๐ = ๐
๐ถ
Discharging
๐ก
๐ก
๐(๐ก) = ๐๐ ๐−๐
๐ถ
๐๐ = ๐๐ ๐ −๐
๐ถ
๐ก
๐ผ = ๐ผ๐ ๐− ๐
๐ถ
โโโ
๐ญ๐ฉ = ๐๐
โโ × โโโ
๐ฉ
๐ผ๐ =
๐=
โโโ = ๐๐ ๐ผ๐๐โ×๐ฬ
๐๐ฉ
2
4๐
๐ต=
๐๐ ๐ผ
2๐๐
๐
๐๐ ๐๐
=
๐
๐
๐ถ
๐ฃ
๐
๐=
๐=
1
๐
๐ฉ โ ๐๐โ = ๐ ๐ ๐ผ๐๐๐๐
โฎ โโโ
(long wire)
2๐ก
๐๐ฃ sin ๐
๐๐ต
๐ฃ=
๐0
๐ถ
๐ = ๐๐ ๐−๐
๐ถ
โโโ
๐ญ๐ฉ = ๐ผ๐โ × โโโ
๐ฉ
|๐น๐ต | = ๐๐ฃ๐ต sin ๐
โโโ๐ฉ = ๐ผ๐๐โ × โโโ
๐๐ญ
๐ฉ
๐0 =
|๐น๐ต | = ๐ผ๐ฟ๐ต sin ๐
๐ = ๐ฃ๐ cos ๐
2๐๐
๐
๐=
2๐๐
๐๐ต
๐ ๐ผ ๐ผ
|๐น๐ต | = ๐ 1 2 ๐ (pair of wires)
2๐๐
๐ ๐๐ผ
๐ต๐ = ๐๐ ๐๐ผ = 0
๐
โโโ
โโโ + ๐
๐ญ = ๐ (๐ฌ
โโ × โโโ
๐ฉ)
(solenoid)
๐=
๐
๐