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

tanθ=mgqEtanθ = \frac{mg}{qE}

θ=9082.6=7.4ºθ = 90 – 82.6 = 7.4º

tan(7.4)=7.6×103×9.81q×1388.5tan(7.4) = \frac{7.6 \times 10^{-3} \times 9.81}{q \times 1388.5}

q=4.13×104  Cq = 4.13 \times 10^{-4} \;C


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