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 are78-cm-long wires with tiny 39gspheres at the ends. When charged, nearly all the charge resides on the spheres.

A large electroscope is made with "leaves" that are78-cm-long wires with tiny 39g 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 (Figure 1) , what total charge Q must have been applied to the electroscope? Ignore the mass of the wires. Express your answer to two significant figures and include the appropriate units

Explanation / Answer

Het I'm not able to post image , i don't know why...but I'll explain it in ur above image,

Consider a sphere at left side...

there are three forces on him , Gravity(dowward), Electrostatic (outwards or towards left) and tension)

resolve all forces along the rope....

so, Componets of Electrostatic and gravity along rope will be cancelled by tention in rope , and components of E and G perpendicular to the rope will be in opposite direction and will cancel each other..

so,

E*cos(26) = G*sin(26)

k*Q/2*Q/2/(2*0.78*sin(26))^2*cos(26) = 0.039*9.81*sin(26)

so,

Q^2 = 0.039*9.81*sin(26)*(2*0.78*sin(26))^2*4/(cos(26)*9*10^9)

Q = sqrt(0.039*9.81*sin(26)*(2*0.78*sin(26))^2*4/(cos(26)*9*10^9))

Q = 0.00000623 C = 6.23*10^-6 C =6.23 micro-C

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