A small glass bead charged to 4.5 nC is in the plane that bisects a thin, uniformly charged, 10-cm-long glass rod and is 4.0 cm from the rod's center.

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A small glass bead charged to 4.5 nC is in the plane that bisects a thin, uniformly charged, 10-cm-long glass rod and is 4.0 cm from the rod's center.

A small glass bead charged to 4.5 nC is in the plane that bisects a thin, uniformly charged, 10-cm-long glass rod and is 4.0 cm from the rod's center. The bead is repelled from the rod with a force of 940 μN.

What is the total charge on the rod?

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Answer 1

Answer #1

q = bead

Q = rod

the electric field at the glass bead pocation is

(Gauss’ theorem)

E = Q / (2 π d L εo)

the force is

F = q E = q Q / (2 π d L εo)

then

Q = 2 π d L εo F / q

Q = 2*3.14*4x10^-2*10^-1*8.85x10^-12*940x10^-6 / 4.5x10^-9 = 4.65x10^-8 C = 46.5 nC

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Answer 2

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A small glass bead charged to 4.5 nC is in the plane that bisects a thin, uniformly charged, 10-cm-long glass rod and is 4.0 cm from the rod's center.

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