Question 23M.2.HL.TZ1.4
| Date | May 2023 | Marks available | [Maximum mark: 8] | Reference code | 23M.2.HL.TZ1.4 |
| Level | HL | Paper | 2 | Time zone | TZ1 |
| Command term | Calculate, Show that, Suggest | Question number | 4 | Adapted from | N/A |
A cell of negligible internal resistance and electromotive force (emf) 6.0 V is connected to three resistors R, P and Q.
R is an ohmic resistor. The I-V characteristics of P and Q are shown in the graph.
The current in P is 0.40 A.
Show that the current in Q is 0.45 A.
[3]
Voltage across P is 1.4 «V» ✓
Voltage across Q is 4.6 «V» ✓
And 6 – 1.4 = 4.6 «V» ✓
Need to see a calculation involving the two voltages and the total voltage in the circuit for MP3 (e.g. 1.4 + 4.6 = 6).
Calculate the resistance of R.
[2]
Current in R is «(0.45 − 0.4)=» 0.05 A ✓
So resistance is « » = 28 «Ω»
Allow ECF from a(i)
Allow ECF from MP1
Calculate the total power dissipated in the circuit.
[1]
«0.45 × 6.0» = 2.7 «W»✓
Resistor P is removed. Suggest, without any calculations, the effect of this on the resistance of Q.
[2]
Q will have a smaller resistance ✓
«Because total resistance in the circuit is now larger so» the current «through the
circuit/Q» is smaller / OWTTE ✓
Allow similar argument for MP2 based on voltage across Q becoming smaller.