Unformatted text preview: 29.31: a)β W = β« F β
dl = qE 2ΟR = (6.50 Γ 10 β6 C)(8.00 Γ 10β6 V m)2Ο (0.0350 m) = 1.14 Γ 10β11 J. (b)βFor a conservative field, the work done for a closed path would be zero. dΞ¦ B di β EL = BA . A is the area of the solenoid. (c)β β« E β
dl = β dt dt For a circular path: di E 2Οr = BA = constant for all circular paths that enclose the solenoid. dt So W = qE 2Οr = constant for all paths outside the solenoid. W = 1.14 Γ 10 β11 J if r = 7.00 cm. ...
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