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Electrostatic and Gravitational Fields of Force

Adding potentials and fields from several sources

  • 3 things to know
  • A2 Unit 4 Section A

Overview

Recall questions on Adding potentials and fields from several sources.

What you need to know

Answer each one before you reveal it.

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Key term

Two equal positive charges are a distance d apart. Describe the field and the potential at the midpoint.

Key term

Two equal and opposite charges are a distance d apart. Describe the field and the potential at the midpoint.

Key term

Charges of +4.0 nC and +9.0 nC are 0.50 m apart. Where on the line between them is the resultant field zero?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How are the potentials from several point charges combined at a point?

    Model answer

    They are added as scalars, taking account of the sign of each charge, since potential has no direction.

  2. 2

    How are the field strengths from several point charges combined at a point?

    Model answer

    They are added as vectors, taking account of both the magnitude and the direction of each contribution.

  3. 3

    Two equal positive charges are a distance d apart. Describe the field and the potential at the midpoint.

    Model answer

    The two field contributions are equal and opposite so the resultant field is zero, while the two potentials are both positive and add to twice the value from one charge.

  4. 4

    Two equal and opposite charges are a distance d apart. Describe the field and the potential at the midpoint.

    Model answer

    The two field contributions point the same way and add to twice the value from one charge, while the two potentials are equal and opposite and cancel to zero.

  5. 5

    Charges of +4.0 nC and +9.0 nC are 0.50 m apart. Where on the line between them is the resultant field zero?

    Model answer

    The distances must be in the ratio of the square roots of the charges, 2 to 3, so the neutral point is 0.20 m from the 4.0 nC charge.

  6. 6

    Check that neutral point by comparing the two field strengths there.

    Model answer

    9.0 × 10⁹ × 4.0 × 10⁻⁹ ÷ 0.20² = 900 N C⁻¹ and 9.0 × 10⁹ × 9.0 × 10⁻⁹ ÷ 0.30² = 900 N C⁻¹, which are equal and opposite.

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