{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

UNIT 10-18 FORMULA SHEET

# UNIT 10-18 FORMULA SHEET - UNIT 10 FORMULA SHEET...

This preview shows pages 1–4. Sign up to view the full content.

UNIT 10 FORMULA SHEET Gravitational formulae Electrostatic formulae Linear motion with constant acceleration a F = G m 1 m 2 r 2 F = m g , with g = G M r 2 F coul = k q 1 q 2 r 2 F = q E x = x i + v ix t + 1 2 a x t 2 v x = v ix + a x t v 2 x v ix 2 = 2 a x ( x x i ) Potential: – G M r Potential: V = U E q = k Q r F = m v 2 r Circular motion Potential energy: U g = G m 1 m 2 r ( U g = 0 at r = ) Δ U g = m g Δ h Potential energy: U E = k q 1 q 2 r ( U E = 0 at r = ) Δ U E = q Δ V T 2 = 4 π 2 R 3 GM (Planetary motion) E = k Q r 2 Electric field where k = 1 4 πε 0 and ε 0 = permittivity of free space E = – Δ V d Electric field for parallel plates τ = q d E sin θ Torque on an electric dipole E = Q ε 0 A = σ ε 0 where σ = Q A Electric field for parallel plate capacitor Φ E = E A = EA = EA cos θ Electric flux Φ E = 4 π kq = q/ ε 0 Gauss's law C = Q Δ V = κ ε o A d = κ A 4 π kd Capacitance where κ = E o E Dielectric constant E = q κε 0 A = σ κε 0 Electric field for parallel plate capacitor with dielectric U = 1 2 Q Δ V = 1 2 C ( Δ V ) 2 = 1 2 Q 2 C Energy stored in a capacitor Energy density = Energy Volume = u = U Ad = κ 8 π k E 2 = 1 2 κε 0 E 2 Constants G 6.673 × 10 –11 N·m 2 ·kg 2 m e 9.109 × 10 –31 kg M Earth 5.975 × 10 24 kg e 1.602 × 10 –19 C R Earth 6.371 × 10 6 m k 8.99 × 10 9 N·m 2 ·C 2 R E orbital 1.50 × 10 11 m ε 0 8.85 × 10 –12 C 2 ·N –1 ·m 2

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document