(a) Draw the schematic sketch of a cyclotron. Explain the shape of the path on which charged particle moves when the particle is accelerated by it.

(b) To convert a given galvanometer into a voltmeter of ranges 2 V, V and \frac{V}{2} volt, resistances R_1 , R_2andR_{3} ohm respectively, are required to be connected in series with the galvanometer. Obtain the relationship between R_1 , R_2 and R_{3} .

 

 

 
 
 
 
 

Answers (1)

a) Cyclotron is a device that works on the principle that the kinetic energy of a charged particle increases when the charged particle moves in a crossed oscillating electric and magnetic field 

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Each time, the acceleration increases the energy of the particle. As the energy increases, the radius of the circular path increases. So, the path is spiral.

b)

\\R=\frac{V}{i_g}-G\\R_1=\frac{2V}{i_g}-G=2R_0-G\\R_2=\frac{V}{i_g}-G=R_0-G\\R_3=\frac{V/2}{i_g}-G=R_0/2-G\\\\R_1-3R_2+2R_3=0

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