Two solenoids are nested coaxially such that their magnetic fields point in oppo

Question

Two solenoids are nested coaxially such that their magnetic fields point in opposite directions. Treat the solenoids as ideal. The outer one has a radius of 20 mm, and the radius of the inner solenoid is 10 mm. The length, number of turns, and current of the outer solenoid are, respectively, 20.9 cm, 577 turns, and 4.59 A. For the inner solenoid the corresponding quantities are 18.9 cm, 363 turns, and 1.79 A. At what speed, v1, should a proton be traveling, inside the apparatus and perpendicular to the magnetic field, if it is to orbit the axis of the solenoids at a radius of 5.09 mm?

Explanation / Answer

For first part as this is a case of ideal solenoids net magnetic field=UoN1I1/L1 -UoN2I2/L2 putting the given values B =____- T now the centripetral force for circular motion should be provided by magnetic field so q*v1*B=m*v1^(2)/R v1=q*B*r/m=_____ m/s.for second part field due to inner solenoid will be zero because point lies outside of it so B=___ v2=q*B*r/m=______ m/ calculate by using above formulas which i mentioned u will get answer for sure

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