Acharge q isplaced on the x-axis at x:-1.00 meters. A uniform line of charge wit

Question

Acharge q isplaced on the x-axis at x:-1.00 meters. A uniform line of charge with charge density ?-+200 cim lies on the x-axis from x-1.0 shown. tox-200 meters as +2.00 HC/m -1.00 x=900 x= +1.00 x-+2.00 Part A (7 points) Determine the total electric field produced by the charge and uniform line of charge at the origin (x-o). Submit Request Answer ? Part B (3 points) Find the acceleration (magnitude and direction) that would be experienced by a small 2.5-gram sphere with a charge of 0.55 mC that is located at the origin.

Explanation / Answer

electric field due to the rod,

E_rod = k*lamda*(1/1 - 1/2)

= 9*10^9*2*10^-6*(1 - 1/2)

= 9000 N/c

Eq = k*q/r^2

= 9*10^9*1.5*10^-6/1^2

= 13500 N/c

A) Enet = Eq - Erod

= 13500 - 900

= 12600 N/c

B) use, F = q*Enet

m*a = q*Enet

a = q*Enet/m

= 0.55*10^-3*12600/(2.5*10^-6)

= 2.78*10^6 m/s^2

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