An electron and a proton are each moving at 845
in perpendicular paths as shown in the figure
(Figure 1) .
At the instant they are at the positions shown in the figure. (A)
Find the magnitude of the total magnetic field they produce at the
origin.(B) Find the direction of the total magnetic field they
produce at the origin. (C) Find the magnitude of the magnetic field
the electron produces at the location of the proton. (D)Find the
direction of the magnetic field the electron produces at the
location of the proton.(E) Find the magnitude of the total magnetic
force that the electron exerts on the proton.(F) Find the direction
of the total magnetic force that the electron exerts on the
proton.(G) Find the magnitude of the total electrical force that
the electron exerts on the proton. (H) Find the direction of the
total electrical force that the electron exerts on the proton
counter clockwise from the positive x axis.
Answer
(A) To find the magnitude of the total magnetic field they produce at the origin. B -B,+B 4x10x1.602x101x845x101 (5×109 (4×109 B: 1.39% 10% T (B) To find the direction of the total magnetic field they produce at the origin. The direction of the total magnetic field produced at the origin will be into the page.
(C) To find the magnitude of the magnetic field the electron produces at the location of the proton. Consider the formula, B–xqv sin θ r=15×10°)’ +(4×10-9) V25+16)x101 41 10 180-tan-1 θ 128.659 4MX 10-7×1 .602x 10-19x845x10%sin (128.659) B- 441 10 B= 2.578×10-4 T (D) To find the direction of the magnetic field the electron produces at the location of the protoin The direction of the magnetic field the electron produced at the location of the proton is into the page.
(E) To find the magnitude of the total magnetic force that the electron exerts on the mag -1.602×10.»,845x 103×2.58x 104 -3.492×10″N (F) To find the direction of the total magnetic force that the electron exerts on the proton. The direction of the total magnetic force that the electron exerts on the proton will be in the +x direction.
(G) To find the magnitude of the total electrical force that the electron exerts on the proton 1.602×1019 4Tx8.854x1041x104 -12 F5.625x10N (H) To find the direction of the total electrical force that the electron exerts on the proton counter clockwise from the positive x axis. The direction of the total electrical force that the electron exerts on the proton counter clockwise from the positive x axis is given by θ=360-51.341 θ-308.659
