A particular solenoid (50 cm long with 2000 turns of wire) carries a current of 0.70 A

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A particular solenoid (50 cm long with 2000 turns of wire) carries a current of 0.70 A and is in vacuum. An electron is shot at an angle of 10° to the solenoid axis from a point on the axis. 

(a) What must be the speed of the electron if it is to just miss hitting the inside of the 1.6-cm-diameter solenoid? 

(b) What is then the pitch of the electron’s helical path?

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