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3 years ago

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A velocity selector is built with a magnetic field of magnitude 5.2 T and an electric field of strength 4.6 × 10 ^4 N/C. The dir

ections of the two fields are perpendicular to each other. At what speed will electrons pass through the selector without deflection? Let the charge of an electron q = −1.6 × 10 ^ −19
A.8.8 × 10^3 m/s
B 2.4 × 10 ^ - 15 m/s
C 7.9 × 10 ^ 13 m/s
D 2.0 x 10 ^ 4 m/s

2 answers:

vfiekz [6]3 years ago

6 0

Answer: 8.8×10³ m/s

Explanation:

When an electron enters electric field and magnetic field, Lorentz force acts on it which displaces it path.

Lorentz force is given by: F = q E + q v×B

For electron to not deflect from its path, this force must be zero which means the speed of the electron should be:

$v =\frac{E}{B}\\ \Rightarrow v = \frac{4.6\times 10^4N/C}{5.2 T} = 8.8\times 10^3 m/s$

Thus, the electrons would pass through the selector without deflection at the speed of 8.8 × 10³ m/s.

MAXImum [283]3 years ago

4 0

<h2>Answer</h2>

Option A that is 8.8 × 10^3 m/s

<h2>Explanation</h2>

The magnetic field B is defined from the Lorentz Force Law, and specifically from the magnetic force on a moving charge. It says

Field-strength = BVqsinΔ

<h2>v = E/B </h2>

Since field are perpendicular so sin90 = 1

v = 4.6/10^4 / 5.2

v = 8846.15 m /s

The speed at which electrons pass through the selector without deflection = 8846.15 m /s

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