A small metal bead, labeled A, has a charge of25 nC . It is touched to metal bea

Question

A small metal bead, labeled A, has a charge of25 nC . It is touched to metal bead B, initially neutral, so that the two beads share the 25 nCcharge, but not necessarily equally. When the two beads are then placed 5.0 cm apart, the force between them is 4.6×104 N . Assume that A has a greater charge.

Part A

What is the charge qA and qB on the beads?

Express your answer using two significant figures.

A small metal bead, labeled A, has a charge of25 nC . It is touched to metal bead B, initially neutral, so that the two beads share the 25 nCcharge, but not necessarily equally. When the two beads are then placed 5.0 cm apart, the force between them is 4.6×104 N . Assume that A has a greater charge.

Part A

What is the charge qA and qB on the beads?

Express your answer using two significant figures.

Explanation / Answer

let charge on A is q nC

charge on B =(25-q) nC

then force between two charges=9*10^9*qA*qB/d^2

where d=distance between two charges=5 cm=0.05 m

==>9*10^9*q*10^(-9)*(25-q)*10^(-9)/0.05^2=4.6*10^(-4)

==>q*(25-q)=127.77

==>q^2-25*q+127.77=0

==>q=17.836

or q=7.163

as A has greater harge, qA=q=17.836 nC

qB=25-q=7.164 nC

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