Question
Asked Sep 10, 2019
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A glass bead charge to +3.5 nC exerts an 8.0 x 10-4 N repulsive electric force on a plastic bead 2.9 cm away. What is the charge on the plastic bead ?

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Expert Answer

Step 1

The equation for the magnitude of the electrostatic force between two charges is given by

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F = k Here, F is the magnitude of the force, k is the Coulomb constant (1/4TE), q,.q, are the magnitude of the charges and r is the distance between the charges Assume the magnitude of the unknown charge is q, and that of known charge is q Rewrite the above equation for q, Fr2 (1) kq The value of k is 8.988x10° N-m2/C2

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Step 2

Substitute the numerical val...

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(8.0x 10 N)(2.9x102 m)' (8.988x10 N -m2/C2)(3.5x109 C) 92 - 21.4x10 C = 21.4 nC - Since the force is repulsive between the two charges, the charge on the plastic bead also must be positive

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