Suggested languages for you:

Americas

Europe

Q23.2-6CQ

Expert-verified
Found in: Page 858

### College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

# A particle accelerator sends high-velocity charged particles down an evacuated pipe. Explain how a coil of wire wrapped around the pipe could detect the passage of individual particles. Sketch a graph of the voltage output of the coil as a single particle passes through it.

The required graph is:

See the step by step solution

## Step 1: Definition of particle

Particle physics is the study of the nature of the particles that make up matter and radiation.

## Step 2: Explanation

A charged particle sent at high velocity generates a magnetic field that wraps around the charge's line of motion in circular loops of decreasing strength from the wire.

Due to the magnetic field created by the moving charge, a coil of wire wrapped around the pipe will produce current by induction. As a result, as soon as the charge passes through the pipe, an induced emf causes the current to flow in the wire. The following formula calculates the induced emf:

$$emf = - N\frac{{\Delta \phi }}{{\Delta t}}$$

In this equation, N denotes the number of turns in the coil, $$\Delta \phi$$ denotes the change in magnetic flux, and $$\Delta t$$ denotes the time duration.

## Step 3: Plotting the graph

Let us plot the required graph,