Over a region of radius R, there is a spatially uniform magnetic field B → . (See below.) At t = 0 , B = 1.0 T, after which it decreases at a constant rate to zero in 30 s. (a) What is the electric field in the regions where r ≤ R and r ≥ R during that 30-s interval? (b) Assume that R = 10.0 cm . How much work is done by the electric field on a proton that is carried once clock wise around a circular path of radius 5.0 cm? (c) How much work is done by the electric field on a proton that is carried once counterclockwise around a circular path of any radius r ≥ R ? (d) At the instant when B = 0.50 T , a proton enters the magnetic field at A, moving a velocity v → (v = 5.0 × 106 m/s)as shown. What are the electric and magnetic forces on the proton at that instant?
Over a region of radius R, there is a spatially uniform magnetic field B → . (See below.) At t = 0 , B = 1.0 T, after which it decreases at a constant rate to zero in 30 s. (a) What is the electric field in the regions where r ≤ R and r ≥ R during that 30-s interval? (b) Assume that R = 10.0 cm . How much work is done by the electric field on a proton that is carried once clock wise around a circular path of radius 5.0 cm? (c) How much work is done by the electric field on a proton that is carried once counterclockwise around a circular path of any radius r ≥ R ? (d) At the instant when B = 0.50 T , a proton enters the magnetic field at A, moving a velocity v → (v = 5.0 × 106 m/s)as shown. What are the electric and magnetic forces on the proton at that instant?
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