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HW9 - lakha(ml29327 HW#9 Jaafari(1444 This print-out should...

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lakha (ml29327) – HW#9 – Jaafari – (1444) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 3) 10.0 points The magnetic field over a certain range is given by vector B = B x ˆ ı + B y ˆ , where B x = 7 T and B y = 6 T. An electron moves into the field with a velocity vectorv = v x ˆ ı + v y ˆ + v z ˆ k , where v x = 5 m / s, v y = 8 m / s and v z = 8 m / s. The charge on the electron is - 1 . 602 × 10 19 C. What is the ˆ ı component of the force ex- erted on the electron by the magnetic field? Correct answer: 7 . 6896 × 10 18 N. Explanation: Let : v x = 5 m / s , v y = 8 m / s , v z = 8 m / s , q = - 1 . 602 × 10 19 C , B x = 7 T , and B y = 6 T . The force exerted on the electron by the mag- netic field is given by vector F = qvectorv × vector B = q vextendsingle vextendsingle vextendsingle vextendsingle vextendsingle vextendsingle ˆ ı ˆ ˆ k v x v y v z B x B y 0 vextendsingle vextendsingle vextendsingle vextendsingle vextendsingle vextendsingle = q [ - v z B y ˆ ı + v z B x ˆ + ( v x B y - v y B x ) ˆ k ] = ( - 1 . 602 × 10 19 C) {- (8 m / s) (6 T)ˆ ı + (8 m / s) (7 T)ˆ + [(5 m / s) (6 T) - (8 m / s) (7 T)] ˆ k } = (7 . 6896 × 10
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