A particle with positive charge q = 4.81 x 10-19 C moves with a velocity v = (31 + 2ĵ - k) m/s through a region where both a uniform magnetic field and a uniform electric field exist. (a) Calculate the total force on the moving particle, taking B = (51 +51 + k) T and E = (51 - 1 - 4k) V/m. (Give your answers in N for each component.) F₁ = N N N y F₂ = (b) What angle does the force vector make with the positive x-axis? (Give your answer in degrees counterclockwise from the +x-axis.) (c) What If? For what vector electric field would the total force on the particle be zero? (Give your answers in V/m for each component.) Ex = Ey E₂ = counterclockwise from the +x-axis = V/m V/m V/m

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A particle with positive charge q = 4.81 x 10-19 C moves with a velocity v = (3î + 2ĵ - k) m/s through a region where both
a uniform magnetic field and a uniform electric field exist.
(a) Calculate the total force on the moving particle, taking B = (5î + 5ĵ + k) T and Ẻ = (5î – ĵ – 4k) V/m. (Give your
answers in N for each component.)
N
N
N
Fx
Fy
F₂
=
Ex
=
(b) What angle does the force vector make with the positive x-axis? (Give your answer in degrees counterclockwise from
the +x-axis.)
E₂
=
(c) What If? For what vector electric field would the total force on the particle be zero? (Give your answers in V/m for
each component.)
=
=
o counterclockwise from the +x-axis
=
V/m
V/m
V/m
Transcribed Image Text:A particle with positive charge q = 4.81 x 10-19 C moves with a velocity v = (3î + 2ĵ - k) m/s through a region where both a uniform magnetic field and a uniform electric field exist. (a) Calculate the total force on the moving particle, taking B = (5î + 5ĵ + k) T and Ẻ = (5î – ĵ – 4k) V/m. (Give your answers in N for each component.) N N N Fx Fy F₂ = Ex = (b) What angle does the force vector make with the positive x-axis? (Give your answer in degrees counterclockwise from the +x-axis.) E₂ = (c) What If? For what vector electric field would the total force on the particle be zero? (Give your answers in V/m for each component.) = = o counterclockwise from the +x-axis = V/m V/m V/m
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