Two identical metal balls with charges 2Q and -Q are separated by some distance and exert a force F on each other.They are joined by a conducting wire and then separeted by some distance. What is the force between them now?

Question

Answer

Force between Two Identical Metal Balls

Initial Situation

Two identical metal balls have charges of +2Q and -Q.

They are separated by some distance and exert a force F on each other.

Joining by Conducting Wire

When the balls are joined by a conducting wire, the charges will redistribute themselves until they are evenly distributed.

The total charge on the two balls remains the same, but now each ball has a charge of +3Q/2.

The charges are distributed evenly because the conducting wire allows the charges to flow until they are equal.

Final Situation

After the balls are separated again, they still have charges of +3Q/2 and -3Q/2.

The force between them can be calculated using Coulomb's law: F = k((3Q/2)^2)/d^2

This simplifies to F = 9/4 * (kQ^2)/d^2 where k is the Coulomb constant and d is the distance between the balls.

Comparison to Initial Force

The final force between the balls is smaller than the initial force.

This is because the charges on the balls are smaller in magnitude and more evenly distributed, leading to a weaker electrostatic force.

Conclusion

Joining the balls by a conducting wire and then separating them leads to a redistribution of charges and a weaker electrostatic force between them.

Answer

force before joining f=2kQQ/r×r.   nd after joining charge is move  2Q charge ball to _Q ball nd divide equally on each ball now charge is +Q/2.  + Q/2,on each ball then force f'=kQQ/4r×r so now force is f'=f/8

Answer

charge will be divided equally among the two balls and then calculate the force

Answer

i think ans will be zero as the charges on the both will be same after. connection the will equal and opposite force on each other.

Answer

zero

Answer

first thing is charge will flow till both sphere attain a common potential which is the fi

Answer

kQQ÷4d2

Answer

k2QQ÷d2

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