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Igoryamba
4 years ago
11

Three equal 1.60-μCμC point charges are placed at the corners of an equilateral triangle with sides 0.800 mm long. What is the p

otential energy of the system? (Take as zero the potential energy of the three charges when they are infinitely far apart.) Express your answer with the appropriate units.
Physics
1 answer:
Pepsi [2]4 years ago
3 0

Answer:

= 0.086J

Explanation:

we are given three equal charges q₁ q₂ q₃ = 1.60 μC

sides of triangle = 0.800m

U = 1/4πε₀(3q²/r)

1/4πε₀ = 9.0 × 10⁹ N.m²/C²

U = 9.0 × 10⁹ ((3 * 1.60 × 10⁻⁶)² / (0.800))

= 0.086J

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Two particles are fixed to an x axis: particle 1 of charge −1.50 ✕ 10−7 c at x = 6.00 cm, and particle 2 of charge +1.50 ✕ 10−7
sleet_krkn [62]

Answer : \underset{E_{R}}{\rightarrow} =-2.44\times10^{5}\ \widehat{i} \ \dfrac{N}{C}

Explanation :

Given that,

Charge of particle 1 =  -1.50\times10^{-7} c

Distance x = 6 cm

Charge of particle 2 = 1.50\times10^{-7} c

Distance x = 27 cm

Total distance = \dfrac{6+27}{2}

r = 16.5\ cm

Particle 1 is at (6,0) and particle 2 is at (27,0) .

Therefore, midway (16.5, 0)

Now, r = \dfrac{|6-16.5|}{2} = \dfrac{|27-16.5|}{2} = 10.5\ cm

Formula of electric field

E = \dfrac{1}{4\pi\epsilon_{0}}\times\dfrac{q}{r^{2}}

Now, the the electric field due to  particle 1

\underset{E}{\rightarrow}\ = -\dfrac{9\times10^{9}\times1.50\times10^{-7 }}{10.5}\ \widehat{i}  \dfrac{N}{C}

\underset{E}{\rightarrow} = \dfrac{13.5\times10^{2}}{(10.5\times10^{-2})^{2}}\widehat{i}  \dfrac{N}{C}

\underset{E}{\rightarrow} = -1.22\times10^{5}\ \widehat{i} \ \dfrac{N}{C}

Similarly, the electric field due to particle 2

\underset{E}{\rightarrow} = -1.22\times10^{5}\ \widehat{i} \ \dfrac{N}{C}

Resultant Electric field

\underset{E_{R}}{\rightarrow} = \underset{E_{1}}{\rightarrow} + \underset{E_{2}}{\rightarrow}

\underset{E_{R}}{\rightarrow} = -2.44\times10^{5}\ \widehat{i} \ \dfrac{N}{C}

Hence, this is the required answer.






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<h3 /><h3>Continuity equation</h3>

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