(a) State an expression for the electric field strength E at a distance r from a point charge Q in a vacuum. State the name of any other symbol used. (b) Two point charges A and B are situated a distance 10.0 cm apart in a vacuum, as illustrated in Fig. 6.1. [Figure 6.1] A point P lies on the line joining the charges A and B. Point P is a distance x from A. The variation with distance x of the electric field strength E at point P is shown in Fig. 6.2. [Figure 6.2]
- (a)State an expression for the electric field strength E at a distance r from a point charge Q in a vacuum. State the name of any other symbol used.[2]
- (b)(i)State and explain whether the charges A and B: have the same, or opposite, signs[2]
- (b)(ii)State and explain whether the charges A and B: have the same, or different, magnitudes.[2]
- (c)An electron is situated at point P. Without calculation, state and explain the variation in the magnitude of the acceleration of the electron as it moves from the position where x = 3 cm to the position where x = 7 cm.[4]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.
- [M1] (a) (E=) Q/ 4πε₀r²
- [A1] (a) where ε₀ is permittivity (of free space)
- [M1] (b)(i) field does not change direction/field does not become zero
- [A1] (b)(i) so (charges have) opposite (sign)
- [M1] (b)(ii) minimum is at the midpoint (between the charges)
- [A1] (b)(ii) so (magnitudes are the) same
- [B1] (c) force = field strength x charge and force = mass × acceleration
- [B1] (c) (from x = 3.0 cm) to x = 5.0 cm: acceleration decreases
- [B1] (c) at x = 5.0 cm: acceleration is a minimum
- [B1] (c) from x = 5.0 cm (to x = 7.0 cm): acceleration increases
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →