A particle with positive charge q = 8.01 x 10-19 C moves with a velocity v = (31 + 4ĵ - 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 + 2ĵ + k) T and Ẻ = (3î – ĵ – 2k) V/m. (Give your answers in N for each component.) X Fy = = = (b) What angle does the force vector make with the positive x-axis? (Give your answer in degrees counterclockwise from the +x-axis.) = N N N (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.) = E₂ = counterclockwise from the +x-axis. V/m V/m V/m
A particle with positive charge q = 8.01 x 10-19 C moves with a velocity v = (31 + 4ĵ - 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 + 2ĵ + k) T and Ẻ = (3î – ĵ – 2k) V/m. (Give your answers in N for each component.) X Fy = = = (b) What angle does the force vector make with the positive x-axis? (Give your answer in degrees counterclockwise from the +x-axis.) = N N N (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.) = E₂ = counterclockwise from the +x-axis. V/m V/m V/m
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A particle with positive charge q = 8.01 10-19 C moves with a velocity
v
= (3î + 4ĵ − ) 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 + 2ĵ + ) T and
E
= (3î − ĵ − 2) V/m. (Give your answers in N for each component.)Fx= NFy= NFz= N
(b)
What angle does the force vector make with the positive x-axis? (Give your answer in degrees counterclockwise from the +x-axis.)
° 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/mEy= V/mEz= V/m
![A particle with positive charge \( q = 8.01 \times 10^{-19} \, \text{C} \) moves with a velocity \( \vec{v} = (3\hat{\imath} + 4\hat{\jmath} - \hat{k}) \, \text{m/s} \) 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 \( \vec{B} = (5\hat{\imath} + 2\hat{\jmath} + \hat{k}) \, \text{T} \) and \( \vec{E} = (3\hat{\imath} - \hat{\jmath} - 2\hat{k}) \, \text{V/m} \). (Give your answers in N for each component.)
\[
F_x = \boxed{\,} \, \text{N}
\]
\[
F_y = \boxed{\,} \, \text{N}
\]
\[
F_z = \boxed{\,} \, \text{N}
\]
(b) What angle does the force vector make with the positive x-axis? (Give your answer in degrees counterclockwise from the +x-axis.)
\[
\boxed{\,}^\circ \, \text{counterclockwise from the +x-axis}
\]
(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.)
\[
E_x = \boxed{\,} \, \text{V/m}
\]
\[
E_y = \boxed{\,} \, \text{V/m}
\]
\[
E_z = \boxed{\,} \, \text{V/m}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a03be36-5dfa-4a37-af0e-f31c338c2b5f%2F184022a5-3c32-49f7-88ad-cc9f74d53c4f%2Fuydg3ob_processed.png&w=3840&q=75)
Transcribed Image Text:A particle with positive charge \( q = 8.01 \times 10^{-19} \, \text{C} \) moves with a velocity \( \vec{v} = (3\hat{\imath} + 4\hat{\jmath} - \hat{k}) \, \text{m/s} \) 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 \( \vec{B} = (5\hat{\imath} + 2\hat{\jmath} + \hat{k}) \, \text{T} \) and \( \vec{E} = (3\hat{\imath} - \hat{\jmath} - 2\hat{k}) \, \text{V/m} \). (Give your answers in N for each component.)
\[
F_x = \boxed{\,} \, \text{N}
\]
\[
F_y = \boxed{\,} \, \text{N}
\]
\[
F_z = \boxed{\,} \, \text{N}
\]
(b) What angle does the force vector make with the positive x-axis? (Give your answer in degrees counterclockwise from the +x-axis.)
\[
\boxed{\,}^\circ \, \text{counterclockwise from the +x-axis}
\]
(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.)
\[
E_x = \boxed{\,} \, \text{V/m}
\]
\[
E_y = \boxed{\,} \, \text{V/m}
\]
\[
E_z = \boxed{\,} \, \text{V/m}
\]
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