O PROBLEM 3. The drawing shows a top view of five interconnected chambers. A bea

Question

O PROBLEM 3. The drawing shows a top view of five interconnected chambers. A beam ofiprotons is I0 fired into chamber (1). By turning on separate magnetic and electric fields in each chamber, the protons can be made to exit from chamber (5), as shown. (a) On the diagram, indicate the magnetic field required in each chamber. Use x,y and z as indicated. 2 1 (5) y (into page) x 13 E, (3) E=0 E=0 (b) Let v be the speed of a proton when it enters chamber (1). How does the speed at which it exits Chamber (5) compare to v? Explain· V" 3

Explanation / Answer

This question can be done using right hand rule.

What is right hand rule - If we point out thumb in the direction of applied force, and index finger in the direction of motion then our middle finger will give the direction of magnetic field.

One very important thing - In case of negative charge, the direction of magnetic field will be opposite to what is given by right hand rule. For example if right hand rule gave into the page then it will be out of the page for negative charge but into the page for positive charge.

Lets start in chamber 1, We are dealing with a positive charge here (Proton is a positively charged). Applying the right hand rule, the direction of magnetic field out of the page,

In chanmber 2, it is into the page. Remember, the proton is deflected due to force. In chamber 3, no deflection has occured means no force is acting.

I encourage you to try chamber 4 and 5 by yourself. Let me know if you face any problem.

b) As the magnetic force is always directed perpendicular to the motion of the charge, it cannot do any work on particle. It means there is no change in kinetic energy and hence no change in velocity.

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