- #1

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- Homework Statement
- Consider a long line of charge with linear charge density λ = 4 µC/m and a point charge q= −2 µC with mass m = 0.1 kg at coordinate (2,0) at t = 0. The point charge is launched straight into the plane of the paper. What is the launch velocity so that the point charge will reach coordinate (−2,0)?

- Relevant Equations
- Electric field due to long line of charge, E = λ/(2pi*r*ε0)

Electric field due to point charge, E = Q/(4*pi*ε0*r^2)

V^2 = U^2 +2as

F=qE

F = qE

ma = (2*10^-6) * (λ / (2pi*r*ε0) )

ma = (2*10^-6) * (4*10^-6 / (2pi*4*ε0) ) => I am not certain what to put for r ( But I sub in 4 because dist is 4)

a = ( (2*10^-6) * (4*10^-6 / (2pi*4*ε0) ) )/ 0.1

a = 0.35950

v^2 = U^2 + 2 a s

v = 0

u^2 = -2 a s => Can't sqrt negative so i just removed

u = sqrt( 2 * 0.35950 * 4)

u = 1.6959Answer: 1.20m/s

ma = (2*10^-6) * (λ / (2pi*r*ε0) )

ma = (2*10^-6) * (4*10^-6 / (2pi*4*ε0) ) => I am not certain what to put for r ( But I sub in 4 because dist is 4)

a = ( (2*10^-6) * (4*10^-6 / (2pi*4*ε0) ) )/ 0.1

a = 0.35950

v^2 = U^2 + 2 a s

v = 0

u^2 = -2 a s => Can't sqrt negative so i just removed

u = sqrt( 2 * 0.35950 * 4)

u = 1.6959Answer: 1.20m/s