an infinitely long line of charge has linear charge density 5x10^-12 C/m A proto

Question

an infinitely long line of charge has linear charge density 5x10^-12 C/m A proton is 18.0 cm from the line and moving directly toward the line at 3.5x10^3m/s calculate the proton's initial kinetic energy. how close does the proton get to the line of charge?

23.30. An infinitely long line of charge has linear charge den sity 5.00 x 10-12 C/m. A proton (mass 1.67 × 10-27 kg, charge +1.60 x 10-19 C) is 18.0 cm from the line and moving directly toward the line at 3.50 x 103 m/s. (a) Calculate the proton's initial kinetic energy. (b) How close does the proton get to the line of Lcharge?

Explanation / Answer

K.E of proton = 0.5 m v2 = 0.5 * 1.67 * 10-27 * 35002

= 1.022 * 10-22 J

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r = d * e(-mv2 / 4k lambda q)

= 0.18 * e^((-1.67 * 10-27 * 35002 ) / (4 * 8.99 * 109 * 5 * 10-12 * 1.602 * 10-19) )

= 0.18 * e^( 2.05 * 10-20/ 2.88 * 10-20)

= 0.18 * e(-0.712)

r = 0.088 m

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