In an attempt to observe a large magnetic effect on a macroscopic charged body,

Question

In an attempt to observe a large magnetic effect on a macroscopic charged body, suppose you let a charged capacitor free-fall through a magnetic field (see figure below). Using the data shown in the figure, find the following. (Take B = 0.525 T, v = 85.6 m/s, C = 10.3 µF, and V = 1840 V.)

(a) the force on each plate of the capacitor
positively charged plate

negatively charged plate

(b) the resultant magnetic force on the capacitor


(c) the resultant magnetic torque on the capacitor

Explanation / Answer

B = 0.525 T, v = 85.6 m/s, C = 10.3 µF, V = 1840 V, d = 1.00*10-4 m
charge on each plate q = CV = 0.018952 C
a) For positively charged plate F = qvB = (0.018952)x(85.6)x(0.525) = 0.8517 N (out of page)
for negatively charged plate F = 0.8517 N (into the page)
b) resultant force = 0 N
c) resultant torque = F*d = 0.8517x1.00x10-4 = 8.517x10-5 Nm

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