A large electroscope is made with \"leaves\" that are 78- c m -long wires with t

Question

A large electroscope is made with "leaves" that are 78-cm-long wires with tiny 24-g spheres at the ends. When charged, nearly all the charge resides on the spheres.

If the wires each make a 26 ? angle with the vertical (see the figureabove), what total charge Q must have been applied to the electroscope? Ignore the mass of the wires.

(Please show your steps, thanks!)

A large electroscope is made with "leaves" that are 78 - cm - long wires with tiny 24 - g spheres at the ends. When charged, nearly all the charge resides on the spheres. If the wires each make a 26 ? angle with the vertical (see the figure above), what total charge Q must have been applied to the electroscope? Ignore the mass of the wires.

Explanation / Answer

Distance between the charges = 2*78*sin 26 = 68.38 cm

F = kq1q1/r^2 = k*(Q/2)^2/r^2

tan 26 = F/mg

Q = 4.88 *10^-6 C

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