Answer to Question #144547 in Atomic and Nuclear Physics for Susan Miles

Question #144547
A conducting sphere with a charge +Q and mass 7.4 g hangs from the horizontal ceiling by a light 21.8-cm insulating thread. When a horizontal electric field of magnitude 1388.5 N/C is turned on, the charge hangs away from the vertical at an angle 82.6º as shown in the figure. The magnitude of the charge Q = Blank 1. Calculate the answer by read surrounding text.
μ C. acceleration due to gravity g =9,80 m/s2 Sate your answer correct to 2 decimal places.
1
Expert's answer
2020-11-16T07:47:55-0500

"tan\u03b8 = \\frac{mg}{qE}"

"\u03b8 = 90 \u2013 82.6 = 7.4\u00ba"

"tan(7.4) = \\frac{7.6 \\times 10^{-3} \\times 9.81}{q \\times 1388.5}"

"q = 4.13 \\times 10^{-4} \\;C"


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