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What is the electric potential energy of the group of charges in (Figure 1)? Assume that q = -3.5 nC.

What is the electric potential energy of the group of charges in Figure 1 Assume that q 35 nC class=

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In general when there is a system of N charges then to calculate the electric potential energy of the system, we need to sum the energies of each pair of charges formed (not repeated)


Q = 3.0 nC

q = -2.0 nC

Let r1 = 3.0 cm

r2 = 4.0 cm

then, r3 = 5.0 cm

Now the potential energy of the system would be:

£ bo .

U = 9*10^{9}*3.0*10^{-9}* \frac{10^{-9}}{10^{-2}}*(\frac{-2}{3.0} + \frac{-2}{4.0} + \frac{3}{5.0})

U = -1.53 *10^{-6} \ J is the required answer

We have that the electric potential energy of the group of charges in (Figure 1) is

[tex]E=-3.9 x 10^{-6}J[/tex]

From the question we are told

the electric potential energy of the group of charges in (Figure 1) Assume that q = -3.5 nC.

Generally the equation for the electric potential energy  is mathematically given as

[tex]E=ke\frac{q1q2}{r1}+\frac{q2q3}{r2}+\frac{q3q1}{r3}[/tex]

Therefore

[tex]E=9 x 10^9\frac{-3.5(3)}{0.03}+\frac{-3.5x 3}{0.04}+\frac{3 x 3}{\sqrt{0.04^2+0.03^2}}x 10^{13}[/tex]

[tex]E=-3.9x 10^{-6}J[/tex]

Therefore

The electric potential energy of the group of charges in (Figure 1) is

[tex]E=-3.9 x 10^{-6}J[/tex]

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