   Chapter 33, Problem 9PE

Chapter
Section
Textbook Problem

The 3.20−km−long SLAC produces a beam of 50.0−GeV electrons. If there are 15,000 accelerating tubes, what average un?age must be across the gaps between them to achieve this energy?

To determine

Average voltage across 15000 accelerating tubes at SLAC that produces a beam of 50 GeV electrons.

Explanation

Given info:

The SLAC produces a beam of 50 GeV electrons and it contains 15000 accelerating tubes.

Formula used:

If V is the average voltage across the gap between accelerating tubes and q is the charge of electron, then energy attained by the electron in the gap, E=qV

Calculation:

E=50GeV =50×109×1.6×1019 J and q=1.6×1019 C

Therefore, average voltage across each gap, V=Eq=50×109×1

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