Two small spherical balls each carrying a charge $$Q=10$$μC (10$$ $$micro-coulomb) are suspended by two insulating threads of equal lengths $$1m$$ each, from a point fixed in the ceiling. It is found that in equilibrium threads are separated by an angle $$60o$$ between them, as shown in the figure. What is the tension in the threads (Given$$: $$1(4$$πε$$0)=9$$×$$109Nm/C2)

Question

Two small spherical balls each carrying a charge $$Q=10$$μC (10$$ $$micro-coulomb) are suspended by two insulating threads of equal lengths $$1m$$ each, from a point fixed in the ceiling. It is found that in equilibrium threads are separated by an angle $$60o$$ between them, as shown in the figure. What is the tension in the threads (Given$$: $$1(4$$πε$$0)=9$$×$$109Nm/C2)

Infinity Learn · Accepted Answer

In the following figure, in equilibrium $$Fe=T$$ $$sin$$ $$30o$$, $$r=1$$ m⇒$$9$$×$$109$$⋅$$Q2r2=T$$×$$12$$⇒$$9$$×$$109$$⋅$$10$$×$$10$$−$$6212=T$$×$$12$$⇒$$T=1.8N$$

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