Q. 32 An 聽 electron 聽 travels 聽 wit... [FREE SOLUTION]

Chapter 31: Q. 32 (page 902)

An electron travels with $\overset{鈫�}{v} = 5.0 脳 10^{6} \hat{i} \frac{m}{s}$ through a point in space where $\overset{鈫�}{E} = (2.0 脳 10^{5} \hat{i} - 2.0 脳 10^{5} \hat{j}) \frac{V}{m}$ and $\overset{鈫�}{B} = - 0.10 \hat{k} T$ . What is the force on the electron?

Short Answer

Expert verified

The force on the electron will be $27 脳 10^{- 17} N$ .

Step by step solution

Given information

We have been given that an electron travels with $\overset{鈫�}{v} = 5.0 脳 10^{6} \hat{i} \frac{m}{s}$ through a point in space where $\overset{鈫�}{E} = (2.0 脳 10^{5} \hat{i} - 2.0 脳 10^{5} \hat{j}) \frac{V}{m}$ and localid="1650176818409" $\overset{鈫�}{B} = - 0.10 \hat{k} T$ .

We need to calculate the force on the electron.

Simplify

According to Lorentz force : $F = q (E + v 脳 B)$

Firstly we have to calculate the value of $v 脳 B$ .

$v 脳 B = 5 脳 10^{6} \hat{i} 脳 (- 0.10 \hat{k}) v 脳 B = - 5 脳 10^{5} \hat{j}$

Now,

$F = q (E + v 脳 B) F = q (2 脳 10^{5} \hat{i} - 2 脳 10^{5} \hat{j} - 5.0 脳 10^{5} \hat{j}) F = 1.6 脳 10^{- 19} (2 脳 10^{5} \hat{i} - 7 脳 10^{5} \hat{j}) F = 1.6 脳 10^{- 19} 脳 1700 F = 27 脳 10^{- 17} N$

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91影视

An electron travels with $\overset{鈫�}{v} = 5.0 脳 10^{6} \hat{i} \frac{m}{s}$ through a point in space where $\overset{鈫�}{E} = (2.0 脳 10^{5} \hat{i} - 2.0 脳 10^{5} \hat{j}) \frac{V}{m}$ and $\overset{鈫�}{B} = - 0.10 \hat{k} T$ . What is the force on the electron?

Short Answer

Step by step solution

Given information

Simplify

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91影视

An electron travels with v鈫�=5.0脳106i^msthrough a point in space where E鈫�=(2.0脳105i^-2.0脳105j^)Vmand B鈫�=-0.10k^T. What is the force on the electron?

Short Answer

Step by step solution

Given information

Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electrostatics

Classical Mechanics

Particle Model of Matter

Thermodynamics

Wave Optics

Astrophysics

Study anywhere. Anytime. Across all devices.

An electron travels with $\overset{鈫�}{v} = 5.0 脳 10^{6} \hat{i} \frac{m}{s}$ through a point in space where $\overset{鈫�}{E} = (2.0 脳 10^{5} \hat{i} - 2.0 脳 10^{5} \hat{j}) \frac{V}{m}$ and $\overset{鈫�}{B} = - 0.10 \hat{k} T$ . What is the force on the electron?