Why Does Charge Q Not Appear in the Equilibrium Equation for Helium Balloons?

• shaiqbashir
In summary, the problem involves two helium-filled balloons with a total force of zero, each with a charge of "Q". The task is to find the value of "Q" and the solution involves considering the horizontal forces on a single balloon and using an approach of finding the tension in ropes.
shaiqbashir
HI Guys!

"TWO SMALL HELIUM FILLED BALLONS, TIED TO A 50gm WEIGHT FLOAT IN EQUILIBRIUM.(TOTAL FORCE ON EACH BALLOON IS ZERO). EACH BALLOON HAS A CHARGE "Q". FIND "Q".
See attached fig also:

now i have tried it many times. what I am confusing that suppose i take one ballooon under consideration. Then the force that is exerted by the second balloon on the first one and the force exerted by the 1st on the second will cancel each other. so there would be no expression left with the term "Q".

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• phy_electrostatics_2.gif
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Take a single balloon. Note that the horizontal forces on this balloon include the electrostatic force and a component of the tension in the string, and that the horizontal forces sum to 0.

An approach: If instead of balloons you just had the mass hanging from two ropes, could you find the tension in the ropes? If you can do that, you will know that the ropes are pulling the two balloons together. The repulsion is counteracting the force pulling them together.

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