A particle with positive charge q = 3.68 x 10-18 C moves with a velocity v = (51 + 5ĵ- 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+ 2ĵ + k) T and E = (3î - 1 - 2k) V/m. (Give your answers in N for each component.) N N N Fx = Fv F₂ = = (b) What angle does the force vector make with the positive x-axis? (Give your answer in degrees counterclockwise from the +x-axis.) X Note that the dot product of a vector with a unit vector î gives V1 = V cos(0) where is the angle between the two vectors. 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 = V/m V/m Ey E₂ V/m = =

Principles of Physics: A Calculus-Based Text
5th Edition
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Author:Raymond A. Serway, John W. Jewett
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Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
Problem 63P
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A particle with positive charge q = 3.68 x 10-18 C moves with a velocity v = (51 + 5ĵ - 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 + 2ĵ+ k) T and E = (3î – ĵ– 2k) V/m. (Give your answers in N for each component.)
N
N
N
Fx
=
F =
Y
(b) What angle does the force vector make with the positive x-axis? (Give your answer in degrees counterclockwise from the +x-axis.)
X
Note that the dot product of a vector with a unit vector î gives · 1 = V cos(0) where is the angle between the two vectors.° 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.)
V/m
V/m
V/m
Ex
Ev
=
=
Transcribed Image Text:A particle with positive charge q = 3.68 x 10-18 C moves with a velocity v = (51 + 5ĵ - 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 + 2ĵ+ k) T and E = (3î – ĵ– 2k) V/m. (Give your answers in N for each component.) N N N Fx = F = Y (b) What angle does the force vector make with the positive x-axis? (Give your answer in degrees counterclockwise from the +x-axis.) X Note that the dot product of a vector with a unit vector î gives · 1 = V cos(0) where is the angle between the two vectors.° 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.) V/m V/m V/m Ex Ev = =
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