Magnetic Field Produced by Moving Charges Video Lessons

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Problem: A proton moves along the x-axis with vx=1.0 × 107 m/s.a) As it passes the origin, what are the strength and direction of the magnetic field at the (0 cm, 1 cm, 0 cm) position? Express your answer in terms of the unit vectors î, ĵ, and k̂.b) As it passes the origin, what are the strength and direction of the magnetic field at the (0 cm, -2 cm, 0 cm) position? Express your answer in terms of the unit vectors î, ĵ, and k̂.

FREE Expert Solution

A proton moves along the x-axis with vx=1.0 x 10m/s.

a) 

B=μ0qv sin θ4πr2

μ0 = 4π × 10-7 T•m/A

v = vx =1.0 x 10m/s

q = 1.6 x 10-19 C

r = 1 cm = 0.01 m

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Problem Details

A proton moves along the x-axis with vx=1.0 × 10m/s.

a) As it passes the origin, what are the strength and direction of the magnetic field at the (0 cm, 1 cm, 0 cm) position? Express your answer in terms of the unit vectors , , and .

b) As it passes the origin, what are the strength and direction of the magnetic field at the (0 cm, -2 cm, 0 cm) position? Express your answer in terms of the unit vectors , , and .

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