onstants Periodic Table Part A A large electroscope is made with \"leaves\" that

Question

onstants Periodic Table Part A 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(Figure 1)), what total charge Q must have been applied to the electroscope? Ignore the mass of the wires. Express your answer using two significant figures. A2p al Figure 1 of 1> Submit Request Answer Provide Feedback Next> 26 26 78 cm 78 cm

Explanation / Answer

forces acting on the ball

1) Tension force 2) Weight 3)electric force

T cos theta = mg --------(1)

T sin theta = k(Q/2)^2 / (2L sin theta)^2 -------(2)

tan 26 = 9*10^9*Q^2 / 4*(2*0.78*sin 26)^2 * 0.024*9.8

Q = 4.88*10^-6 C

= 4.88 uC

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