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A positive charge of 2.0 × 10⁻⁶ C is placed in an electric field at a point where the potential is +500 V - AQA - A-Level Physics - Question 17 - 2020 - Paper 2

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A positive charge of 2.0 × 10⁻⁶ C is placed in an electric field at a point where the potential is +500 V. What is the potential energy of the system?

Worked Solution & Example Answer:A positive charge of 2.0 × 10⁻⁶ C is placed in an electric field at a point where the potential is +500 V - AQA - A-Level Physics - Question 17 - 2020 - Paper 2

Step 1

Calculate Potential Energy

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Answer

The potential energy (U) can be calculated using the formula:

U=qVU = qV

where:

  • qq is the charge (2.0 × 10⁻⁶ C)
  • VV is the electric potential (500 V)

Substituting the values:

U=(2.0imes106extC)(500extV)U = (2.0 imes 10^{-6} ext{ C})(500 ext{ V})

Calculating:

U=1.0imes103extJU = 1.0 imes 10^{-3} ext{ J}

Thus, the potential energy of the system is 1.0 × 10⁻³ J.

Step 2

Select the Correct Option

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Answer

Based on the calculated potential energy, the closest answer is option A: 1.0 × 10⁻¹ J.

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