Solution Found!
IP A beam of protons with various speeds is directed in
Chapter 22, Problem 86GP(choose chapter or problem)
A beam of protons with various speeds is directed in the positive x direction. The beam enters a region with a uniform magnetic field of magnitude 0.52 T pointing in the negative z direction,
as indicated in Figure 22–47. It is desired to use a uniform electric field (in addition to the magnetic field) to select from this beam only those protons with a speed of \(1.42 \times 10^{5} \mathrm{~m} / \mathrm{s}\)—that is, only these protons should be undeflected by the two fields.
(a) Determine the magnitude and direction of the electric field that yields the desired result.
(b) Suppose the electric field is to be produced by a parallel-plate capacitor with a plate separation of 2.5 cm. What potential difference is required between the plates?
(c) Which plate in Figure 22–47 (top or bottom) should be positively charged? Explain.
Equation Transcription:
Text Transcription:
1.42 \times 10^5 m/s
\vec{B}
\vec{v}
Questions & Answers
QUESTION:
A beam of protons with various speeds is directed in the positive x direction. The beam enters a region with a uniform magnetic field of magnitude 0.52 T pointing in the negative z direction,
as indicated in Figure 22–47. It is desired to use a uniform electric field (in addition to the magnetic field) to select from this beam only those protons with a speed of \(1.42 \times 10^{5} \mathrm{~m} / \mathrm{s}\)—that is, only these protons should be undeflected by the two fields.
(a) Determine the magnitude and direction of the electric field that yields the desired result.
(b) Suppose the electric field is to be produced by a parallel-plate capacitor with a plate separation of 2.5 cm. What potential difference is required between the plates?
(c) Which plate in Figure 22–47 (top or bottom) should be positively charged? Explain.
Equation Transcription:
Text Transcription:
1.42 \times 10^5 m/s
\vec{B}
\vec{v}
ANSWER:
Solution 86 GP:
Step 1 of 3:-
a)
Here, we have to find the magnitude and the direction of the electric field, for which we will get the protons with desired speed.
Given that,
.
.
The two forces, electric and magnetic must cancel out, so that the protons will be undeflected.
So,
.
.
So, the electric field must be .