A proton is moving with velocity v= (v, i + v, k) m/s, where vy = 6.60 x 105 and v, = 5.90 x 105. The instant it enters a uniform magnetic field it experiences a magnetic force in the positive y-direction of 2.80 x 105 N. [Charge of proton q = 1.602 x 1019 C.] To begin, compose an equality for this problem given Fg = q v»B, such that each of the vectors is expressed as a vector sum of perpendicular (x/y/z) components. For example, B = B,i + B, + B,k. a.) If there is no x-component of the magnetic field (B, = 0), what is the y-component of the magnetic field? By = b.) What is the magnitude and direction of the z-component of the magnetic field? |× - k)

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Chapter1: Units, Trigonometry. And Vectors
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A proton is moving with velocity v = (vy î + v, k) m/s, where vy = 6.60 x 105 and v, = 5.90 x 105. The instant it enters a uniform magnetic field it experiences a magnetic force in the positive y-direction of 2.80 x 10-5 N. [Charge of proton q = 1.602 x 10-19 c.]
To begin, compose an equality for this problem given Fg = q vxB, such that each of the vectors is expressed as a vector sum of perpendicular (x/y/z) components. For example, B = B,î + B,ĵ + B,K.
%3D
a.) If there is no x-component of the magnetic field (B, = 0), what is the y-component of the magnetic field?
By =
b.) What is the magnitude and direction of the z-component of the magnetic field?
E, =
v k)
Transcribed Image Text:A proton is moving with velocity v = (vy î + v, k) m/s, where vy = 6.60 x 105 and v, = 5.90 x 105. The instant it enters a uniform magnetic field it experiences a magnetic force in the positive y-direction of 2.80 x 10-5 N. [Charge of proton q = 1.602 x 10-19 c.] To begin, compose an equality for this problem given Fg = q vxB, such that each of the vectors is expressed as a vector sum of perpendicular (x/y/z) components. For example, B = B,î + B,ĵ + B,K. %3D a.) If there is no x-component of the magnetic field (B, = 0), what is the y-component of the magnetic field? By = b.) What is the magnitude and direction of the z-component of the magnetic field? E, = v k)
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