Q. 4 Scientists in the laboratory cre... [FREE SOLUTION]

Chapter 31: Q. 4 (page 901)

Scientists in the laboratory create a uniform electric field $\overset{鈫�}{E}$ = $1.0 脳 10^{6}$ $\hat{k}$ V/m in a region of space where $\overset{鈫�}{B} = \overset{鈫�}{0}$ . What are the fields in the reference frame of a rocket travelling in the positive x-direction at $1.0 脳 10^{6}$ m/s?

Short Answer

Expert verified

Required field ${\overset{鈫�}{B}}_{B} = 1.11 脳 10^{- 5} T$

Step by step solution

Given information:

We have been given that (a) $\overset{鈫�}{E} = 1.0 脳 10^{6} \hat{R} V / m$ (b) $\overset{鈫�}{B} = 0$ (c) $\overset{鈫�}{v_{B}} = 1.0 脳 10^{6} i m / s$

Simplify

The equation for the Electric field is as:

${\overset{鈫�}{E}}_{B} = {\overset{鈫�}{E}}_{A} + {\overset{鈫�}{v}}_{B} 脳 {\overset{鈫�}{B}}_{A}$

But it is known that:

${\overset{鈫�}{E}}_{B} = {\overset{鈫�}{E}}_{A} + {\overset{鈫�}{v}}_{B} 脳 {\overset{鈫�}{B}}_{A} = {\overset{鈫�}{E}}_{A} = 1.0 脳 10^{6} \hat{R} V / m$

Therefore:

${\overset{鈫�}{B}}_{B} = {\overset{鈫�}{B}}_{A} - \frac{1}{C^{2}} {\overset{鈫�}{V}}_{B} 脳 {\overset{鈫�}{E}}_{A}$ Equation 1

Putting the known values in Equation 1, We get:

${\overset{鈫�}{B}}_{B} = \frac{1.0 脳 10^{12} \hat{j}}{{(3 脳 10^{8})}^{2}}$

${\overset{鈫�}{B}}_{B} = 1.11 脳 10^{- 5} T$

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Simplify

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Scientists in the laboratory create a uniform electric field E鈫�=1.0脳106k^V/m in a region of space whereB鈫�=0鈫�. What are the fields in the reference frame of a rocket travelling in the positive x-direction at 1.0脳106m/s?

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

Atoms and Radioactivity

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Study anywhere. Anytime. Across all devices.