A small glass bead charged to 6.5 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.

Part A

What is the total charge on the rod?

Express your answer with the appropriate units.

The total charge on the rod is 41.18 nC

Explanation:

Given;

length of glass rod, L = 10 cm = 0.1 m

radius of the rod, r = 4 cm = 0.04 m

Force of repulsion = 940 μN = 940 × 10⁻⁶ N

Charge on the bead = 6.5 nC = 6.5 × 10⁻⁹ C

Charge on the rod, Q = ?

From coulomb's law;

Where;

F is the force of repulsion in N

q₁ and q₂ are the charges on the bead and rod

R is the resultant distance between the two charges;

K is coulomb's constant = 8.99 x 10⁹ Nm²/C²

Therefore, the total charge on the rod is 41.18 nC

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