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Electric charge can accumulate on an airplane in flight. You may have observed n

ID: 2047697 • Letter: E

Question

Electric charge can accumulate on an airplane in flight. You may have observed needle-shaped metal extensions on the wing tips and tail of an airplane. Their purpose is to allow charge to leak off before much of it accumulates. The electric field around the needle is much larger than the field around the body of the airplane and, can become large enough to produce dielectric breakdown of the air, discharging the airplane. To model this process, assume that two charged spherical conductors are connected by a long conducting wire and a charge of 8.00

Explanation / Answer

A) radiusof airplane r 1 = 6*10-2m radiusof needle r2 = 2*10-2m we haveq1/q2 =r1/r2 or q1 = 3q2 & q1+q2 = 22µC so 3q2+q2 = 22 q2 = 5.5*10-6C & q1 =16.5*10-6C k = 9*109Nm2/C2 thepotential of the air plane is v1 = kq1/r1 calculate forV1 thepotential of the needle is V2 =kq2/r2 calculate forV2 B) the electricfield of the airplane is E1 =kq1/r12 calculate forE1 theelectric field of the needle is E2 =kq2/r22 calculate forE2

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