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How much energy is stored in a 3.00 cm × 3.00 cm × 3.00 cm region of uniform electric field?

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Final answer:

To calculate the energy stored in a region of uniform electric field, you need to know the electric field strength and the volume of the region. The energy can be calculated using the equation EPE = 1/2 * ε * E^2 * V. Substitute the given values and simplify the expression to find the answer.

Step-by-step explanation:

To calculate the energy stored in a region of uniform electric field, we need to know the electric field strength and the volume of the region. The electric potential energy (EPE) is given by the equation EPE = 1/2 * ε * E^2 * V, where ε is the permittivity of free space, E is the electric field strength, and V is the volume of the region. We can substitute the given values into the equation to calculate the energy stored.

Given:

  • Electric field strength (E) = ___
  • Volume (V) = ___

Calculating the energy stored:

  1. Substitute the given values into the equation: EPE = 1/2 * ε * E^2 * V
  2. Calculate the squared electric field strength (E^2)
  3. Multiply the squared electric field strength by 1/2 * ε and V
  4. Simplify the expression to find the energy stored

Answer: The energy stored in the 3.00 cm × 3.00 cm × 3.00 cm region of uniform electric field is ___ Joules.

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