Series & Parallel Circuits (OCR AS Physics): Exam Questions

Exam code: H156

20 mins10 questions
1a
5 marks

Fig. 18.1 shows a circuit.

Circuit diagram. A 1.5 V cell, positive terminal at the top, is connected through a 33 Ω resistor to the positive terminal of a power supply. The negative terminal of the cell is connected to the negative terminal of the power supply through a 120 Ω resistor and a 60 Ω resistor in parallel.

Fig. 18.1

The cell has e.m.f. 1.5 V. The cell and the variable power supply both have negligible internal resistance.

(i) The e.m.f. of the power supply is set at 4.2 V.

Calculate the current I in the 33 Ω resistor.

I = ........................................... A

[3]

(ii) The e.m.f. of the variable supply is now slowly decreased from 4.2 V to 0 V.

Describe the effect on the current I in the 33 Ω resistor.

[2]

1b
6 marks

A group of students are investigating the power dissipated in a variable resistor connected across the terminals of a cell. The cell has e.m.f. 1.5 V.

The students determine the power P dissipated in the variable resistor of resistance R.

Fig. 18.2 shows the data points plotted by the students on a graph of P (y-axis) against R (x-axis).

Graph of P / W on the y-axis, from 2.5 to 5.0, against R / Ω on the x-axis, from 0 to 7. Seven crosses are plotted with no line: about 2.95 W at 0.5 Ω, 4.00 W at 1 Ω, 4.33 W at 3 Ω, 4.20 W at 4 Ω, 3.65 W at 5 Ω, 3.35 W at 6 Ω and 2.90 W at 7 Ω. There are no points between 1 Ω and 3 Ω.

Fig. 18.2

The group of students know that maximum power is dissipated in the variable resistor when R is equal to the internal resistance r of the cell.

Describe, with the help of a suitable circuit diagram, how the students may have determined P and R. Use Fig. 18.2 to estimate the internal resistance r of the cell and discuss any limitations of the data plotted by the group.