Finding Tensions of Fixed Point Charges

AI Thread Summary
To find the tensions T_1 and T_2 in a system of fixed point charges, the net force on the +4q charge is analyzed. The equation F_{net,4q}=F_{q}+F_{2q}+T_2 is established, leading to T_2=-(F_{q}+F_{2q}). The discussion confirms that using T1 and T2 to represent the magnitudes of the tension forces is appropriate. This approach allows for a clearer understanding of the forces acting on the charges. The calculations and vector representation are essential for solving the problem accurately.
adkinje
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A fixed point charge of +2q is connected by strings to point charges of +q and +4q (see attached diagram), Find the tensions T_1 and T_2.

For T_2, I start summing the forces on the +4q point charge.

F_{net,4q}=F_{q}+F_{2q}+T_2

0=F_{q}+F_{2q}+T_{2}

T_2=-(F_{q}+F_{2q})

Is this the correct vector equation?
 

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That's the right idea. (But I would use T1 and T2 to represent the magnitude of the tension forces.)
 
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