30ANSWER IS D PLZ EXPLAIN WHY 15. The figure below shows two magnetic field regi

Question

30ANSWER IS D

PLZ EXPLAIN WHY

15. The figure below shows two magnetic field regions: R1 is a region where there is a magnetic field going into the page with magnitude 1(t) 2t R2 is a region where there is a magnetic field coming out of the page with magnitude B2 (t)I 1/t2 In the above equations, t (where t o) is the time in seconds and B(t) is the magnetic field in Teslas. In addition, region R1 has cross-sections that are circles of radius 20. cm, and region R2 has cross-sections that are circles of radius 30. cm. What is the value of fL E.ds at t 2.0 (magnitude and sign) for path L shown. Path L A) 390 mV B) +570 mV C) -180 mV D) 320 mV E) -430 mV 30. A charged particle moves into a region of uniform magnetic field B goes through half a circle, and then exits the region. The particle is either a proton or an electron (you must decide which). It spends 4.0us in the region. If the particle is sent back through the magnetic field (along the same initial path) but with 2.0 times its previous kinetic energy, how much time does it spend in the field during the new trip? What is the particle? A) 8.0us, an electron B) 1.0us, a proton. C) us, a proton OB D) 4.0us, an electron E) 2.0us, a proton.

Explanation / Answer

integral B.ds   = integrate (B1. ds - B2.ds = 2t .ds - (1/t2 ) =

pi (0.02)2 2t - pi (0.03)2 (1/t^2)

d (integral B.ds) /dt =

pi (0.02)2 2+ 2X pi (0.03)2 (1/t^3 )  

at t= 2   ==> 322

Ans = -322

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