Magnetic field due to currentHard

Question

A electron experiences a force (4.0î + 3.0ĵ) × 10-13 N in a uniform magnetic field when its velocity is 2.5× 107 ms-1. When the velocity is redirected and becomes (1.5î - 2.0ĵ) × 107 ms-1, the magnetic force of the electron is zero. The magnetic field vector is

Options

A.-0.075î + 0.1ĵ
B.0.1î + 0075ĵ
C.0.075î - 0.1ĵ +
D.0.075î - 0.1ĵ

Solution

= - 1.6 × 10-19

⇒ B1 = - 0.075, B2 = + 0.1
Again :  ; q = - 1.6 × 10-19
(0.075î + 0.1ĵ + B3)
⇒ B3 = 0 ∴ = - 0.075î + 0.1ĵ

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