Question 22N.2.HL.TZ0.9c.i
Date | November 2022 | Marks available | [Maximum mark: 2] | Reference code | 22N.2.HL.TZ0.9c.i |
Level | HL | Paper | 2 | Time zone | TZ0 |
Command term | Draw | Question number | c.i | Adapted from | N/A |
A parallel-plate capacitor of capacitance 1.5 × 10−10 F is made from two metal plates separated by an air gap of 1.0 mm. The capacitor is initially charged to a potential difference of 24 V.
The charged capacitor is disconnected from the voltage supply and the separation between the plates is increased to 4.0 mm.
The capacitor is then discharged through a fixed resistor. The initial current in the resistor is and the time constant of the circuit is .
Draw, on the axes, a graph to show the variation with time of the current in the resistor.
[2]
exponential decrease from current = I0 ✓
approximately correct values for time = AND 2 ✓
For MP2, the curve should be between 0.30 and 0.45 when time t = and below 0.20 when time t = 2.
The general shape of the curve was usually correct. Many candidates scored full marks, but the most common mistakes were ones that fell to 0.5 after one time constant, as if there was an attempt to identify a particular value, or fell far too steeply if not.