3 Chapter 20 - problems Problem 20.12 O 21 of 64 () Constants Part A A small met

Question

3 Chapter 20 - problems Problem 20.12 O 21 of 64 () Constants Part A A small metal bead, labeled A, has a charge of 25 nC. It is touched to metal bead B, initially neutral, so that the two beads share the 25 nC charge, but not necessarily equally. When the two beads are then placed 5.0 cm apart, the force between them is 4,4x10-4 N. Assume that A has a greater charge. What is the charge q, and qn on the beads? Express your answer using two significant figures. 9A 9= NC Submit Request Answer Provide Feedback Next >

Explanation / Answer

qA + qB = sum of the charges = 25 x 10-9 C

qA = (25 x 10-9) - qB eq-1

F = force between the charges = 4.4 x 10-4 N

r = distance between the charges = 0.05 m

using the equation

F = k qA qB /r2

4.4 x 10-4 = (9 x 109) qA qB /(0.05)2

qA qB = 1.2 x 10-16 C

using eq-1

((25 x 10-9) - qB) qB = 1.2 x 10-16

qB = 6.5 x 10-9 C = 6.5 nC

qA = 1.85 x 10-8 C = 18.5 nC

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