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Linear accelerator uses alternating electric fields to accelerate electrons to close to the speed of light. A small number of the electrons collide with a target, but a large majority pass through the target and impact a beam dump at the end of the accelerator. In one experiment the beam dump measured charge accumulating at a rate of -2.0 nC/s. How many electrons traveled down the accelerator during the 2.0 h run?

Short Answer

Expert verified

N=9×1013electronsare travelled down the accelerator during the2.0h run.

Step by step solution

01

Content Introduction

Q is the charge and for an object, its charge equals the number of carrier N times the charge of the carrier which is -efor electrons and +efor protons.

The equation so formed is Q=Newhere e=-1.6×10-19C

02

Content Explanation

The rate of accumulation of charge is Qt=-2nC/s.

We are given, t=2hor7200s

Q=(-2nC/s)tQ=(-2nC/s)(7200s)Q=-14400nC

Now put the value in the equation

N=QeN=-14400×10-9C-1.6×10-19CN=9×1013electrons

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