Question

Physics 205-90 Spring 2019 homework 8 ch 27 magnetism Sp 2019 Problem 27.25 Constants 1 Periodic Tablo A proton moves through a region of space where there of the total force on the proton. is a magnetic field B (0.42i +0.31j) T and an electric field E (3.01-4.3j) x 10 V/m. At a given instant, the proton's velocity its ˇ (5.81 + 2.8-5.1k)s iOF m/s.

Answer 1

Given: B = (0.42 I + 0.31 j)T E = (3.0 I - 4.3 j) times v/m v = (5.8 I + 2 .8 j - 5.1 k) times 10^3 m/s F = g E + q (V times B) = q (E + (V + B)) = q [(3.0 I - 4.3 j) times 10^3 + [(508 I + 2.8 j - 5 .1 k) times 10^3 times (0.42 I + 0.3 1 j)] F = q{(3.0 I - 4.3 j) + [(5.8 I + 2.8 j - 5.1 k) times (0.42 I + 0.3i j)] times 10^3 x = Vertical-bar I 5.8 0.42 j 2.8 0.31 k -5.1 0 Vertical-bar = i(0 + 5.1 times 0.31) - j (0 + 5.1 times 0.42) + k(5.8 times 0.31 - 2.8 times 0.42) = 1.581 I - 2 .142 j + k(1.798 - 1.176) x = (1.581)I - (2.142)j + (0.622)k F = q {(3.1 I - 4.3 j) +(1.581 j -2.142 j + 0.622k)} times 10^3