Two small, identical spherical conductors carry charges of 7.5 C and 0.8 C. They

Question

Two small, identical spherical conductors carry charges of 7.5 C and 0.8 C. They are separated by a distance of 132.0 cm. Calculate the magnitude of the electrostatic force between these two spheres.

Answer:  

6. [5pt]
Is the force between the spheres in the above problem attractive or repulsive? (Enter A for attractive or R for repulsive -- 1 attempt ONLY)

Answer:  

7. [5pt]
The spheres described in the previous problem are brought into contact and then returned to their original separation. Calculate the magnitude of the electrostatic force between these two spheres.

Explanation / Answer

here,

q1 = 7.5 * 10^-6 C

q2 = 0.8 * 10^-6 C

distance , d = 1.32 m

the magnitude of the electrostatic force , F = k * q1 * q2/d^2

F = 9 * 10^9 * 7.5 * 10^-6 * 0.8 * 10^-6 /1.32^2

F = 3.1 * 10^-2 N

6)

as the charges are of same signs ,

the force between them is repulsive

7)

when they bought in contact ,

their potential becomes the same

as the spheres are identical, the charge on each sphere , q = ( 7.5 + 0.8)/2 uC

q = 4.15 * 10^-6 C

force , F = k * q^2/d^2

F = 9 * 10^9 * ( 4.15 * 10^-6)^2 /1.32^2

F = 8.9 * 10^-2 N

the force is 8.9 * 10^2 N

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