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muminat
3 years ago
6

The potential (relative to infinity) at the midpoint of a square is 3.0 V when a point charge of Q is located at one of the corn

ers of the square. What is the potential (relative to infinity) at the center when each of the other corners is also contains a point charge of Q
Physics
1 answer:
tester [92]3 years ago
5 0

Answer:

12.0 V

Explanation:

Data :

Potential difference due to a single charge (+Q), E = 3.0 V

 

The Electric potential for the system of charges is given as:

E=\frac{1}{4\pi \epsilon_o}[\Sigma\frac{Q}{r}]

for single charge, E = 3.0 V = \frac{1}{4\pi \epsilon_o}[\frac{Q}{r}]  ->eq(1)

And for 4 charges:

E=\frac{1}{4\pi \epsilon_o}[4\frac{Q}{r}] -eq(2)

from eq(1) and (2) we have

E = 4 × 3.0 V = 12 V

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Answer:

Explanation:

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An electron (restricted to one dimension) is trapped between two rigid walls 1.40 nm apart. The electron's energy is approximate
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Answer:

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where l is the distance L = 1.40 nm = 1.40 10⁻⁹ m and n the quantum number

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          En = 19 eV (1.6 10⁻¹⁹ J / 1 eV) = 30.4 10⁻¹⁹ J

          n = √ (In 8 m L² / h²)

let's calculate

          n = √ (8  9.1 10⁻³¹ (1.4 10⁻⁹)²  30.4 10⁻¹⁹ / (6.63 10⁻³⁴)²

          n = √ (98)            n = 9.9

since n must be an integer, we approximate them to 10

b) We substitute for the calculation of energy

        In = (h² / 8mL2² n²

        In = (6.63 10⁻³⁴) 2 / (8 9.1 10⁻³¹  (1.4 10⁻⁹)² 10²

        E₁₀ = 3.08 10⁻¹⁸ J

we reduce eV

      E₁₀ = 3.08 10⁻¹⁸ j (1ev / 1.6 10⁻¹⁹J)

      E₁₀ = 1.925 101 eV

      E₁₀ = 19.25 eV

the result with significant figures is

        E₁₀ = 19.25 eV

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