he electric field at a point in space is E =( 700 i^+ 400 j^)N/C. Part A What is
ID: 1590254 • Letter: H
Question
he electric field at a point in space is E =( 700 i^+ 400 j^)N/C. Part A What is the x-component of the electric force on a proton at this point? Part B What is the y-component of the electric force on a proton at this point? Part C What is the x-component of the electric force on an electron at this point? Part D What is the y-component of the electric force on a electron at this point? Part E What is the magnitude of the proton's acceleration? Part F What is the magnitude of the electron's acceleration?
Explanation / Answer
Force on a proton of charge q = 1.6 x 10^-19 C is
Part A) Fx = Ex q =1120 x 10^-19 N ... towards positive X axis
Part B) Fy = Ey q = 640 x 10^-19 N ... towards positive Y axis
Part C&D)Force on an electron is same as on the proton but in opposite direction as q is same in magnitude but opposite in sign..
part E) Acceleration of proton,
ap = F / Mp = ( 1120 i^+ 640 j^) x 10^-19 / 1.6725 x 10^-27= ( 1870.4 i + 383.23 j ) x 10^8 m/s^2
part F)Similarly , acceleration of the electron ,
ae = F / 9.1 x 10^-31 = ( 123.1 i + 70.32 j ) x 10^12 m/s^2
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