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A-LevelPhysicsElectric fields9702/21 · Oct/Nov 2019 · Q211 Marks

A small charged glass bead of weight 5.4 × 10⁻⁵N is initially at rest at point A in a vacuum. The bead then falls through a uniform horizontal electric field as it moves in a straight line to point B, as illustrated in Fig. 2.1. [Figure 2.1] The electric field strength is 1.3 × 10⁴ Vm⁻¹. The charge on the bead is –3.7 × 10⁻⁹C.

  1. (a)Describe how two metal plates could be used to produce the electric field. Numerical values are not required. [2][2]
  2. (b)Determine the magnitude of the electric force acting on the bead. electric force = .................................................... N [2][2]
  3. (c)Use your answer in (b) and the weight of the bead to show that the resultant force acting on it is 7.2 × 10⁻⁵ N. [1][1]
  4. (d)Explain why the resultant force on the bead of 7.2 × 10⁻⁵N is constant as the bead moves along path AB. [2][2]
  5. (e)(i)Calculate the magnitude of the acceleration of the bead along the path AB. acceleration = ............................................... ms⁻² [2][2]
  6. (e)(ii)The path AB has length 0.58 m. Use your answer in (i) to determine the speed of the bead at point B. speed = .................................................... ms⁻¹ [2][2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.

  1. [B1] the (two) plates are vertical (and separated)
  2. [B1] left plate positively charged and right plate negatively charged/earthed; or right plate negatively charged and left plate positively charged/earthed
  3. [C1] F = Eq
  4. [A1] = 1.3 x 104 x 3.7 × 10⁻⁹; = 4.8 x 10⁻⁵ N
  5. [A1] F² = (4.8 × 10⁻⁵)² + (5.4 × 10⁻⁵)² so F = 7.2 × 10⁻⁵ N; or F = [(4.8 × 10⁻⁵)² + (5.4 × 10⁻⁵)²]⁰.⁵ so F = 7.2 × 10⁻⁵ N
  6. [B1] electric force is constant (because field strength/E is constant)
  7. [B1] weight is constant (and so resultant force constant)
  8. [C1] m = 5.4 × 10⁻⁵ / 9.81 (= 5.5 × 10⁻⁶)
  9. [A1] a = 7.2 × 10⁻⁵ / (5.5 × 10⁻⁶); =13 m s⁻²
  10. [C1] v² = u² + 2as; v² = 2 × 13 × 0.58
  11. [A1] v = 3.9 m s⁻¹

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About this question

Topic
Electric fields, A-Level Physics (syllabus 9702). Structured question, 11 marks.
Source
A-Level Physics, Oct/Nov 2019 Paper 2 Variant 1, question 2.

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