Question 23M.2.HL.TZ1.a
| Date | May 2023 | Marks available | [Maximum mark: 5] | Reference code | 23M.2.HL.TZ1.a |
| Level | HL | Paper | 2 | Time zone | TZ1 |
| Command term | Calculate, Sketch | Question number | a | Adapted from | N/A |
The centres of two identical fixed conducting spheres each of charge +Q are separated by a distance D. C is the midpoint of the line joining the centres of the spheres.
Sketch, on the axes, how the electric potential V due to the two charges varies with the distance r from the centre of the left charge. No numbers are required. Your graph should extend from r = 0 to r = D.
[3]
Constant, non-zero within spheres ✓
A clear, non-zero positive minimum at C ✓
Symmetric bowl shaped up curved shape in between ✓
Do not allow a bowl shaped down curve for MP3.
Calculate the work done to bring a small charge q from infinity to point C.
Data given:
Q = 2.0 × 10−3 C,
q = 4.0 × 10−9 C
D = 1.2 m
[2]
V «= 2 × » = 6.0 × 107 «V» ✓
W = «qV = 6.0 × 107 × 4.0 × 10−9 =» 0.24 «J» ✓
Allow ECF from MP1
