A battery of electromotive force (e.m.f.) E and internal resistance 1.5 Ω is connected to a network of resistors, as shown in Fig. 6.1. [Figure 6.1] Resistor X has a resistance of 8.0 Ω. Resistor Y has a resistance of 2.0 Ω. Resistor Z has a resistance of R₂. The current in X is 0.60 A and the current in Y is 1.8 A.

1. (a)Define the ohm. ......................................................................................................................................... [1][1]
2. (b)A battery of electromotive force (e.m.f.) E and internal resistance 1.5 Ω is connected to a network of resistors, as shown in Fig. 6.1. [Figure 6.1] Resistor X has a resistance of 8.0 Ω. Resistor Y has a resistance of 2.0 Ω. Resistor Z has a resistance of R₂. The current in X is 0.60 A and the current in Y is 1.8 A. (i) Calculate:
3. (b)(i)1.the current I in the battery I = ................................................................................. A [1][1]
4. (b)(i)2.resistance R₂ R₂ = ................................................................................. Ω [2][2]
5. (b)(i)3.e.m.f. E. E = ................................................................................. V [2][2]
6. (b)(ii)Resistors X and Y are each made of wire. The two wires have the same length and are made of the same metal. Determine the ratio: 1. cross-sectional area of wire X cross-sectional area of wire Y ratio = .............................................................................. [2][2]
7. (b)(ii)2.average drift speed of free electrons in X average drift speed of free electrons in Y ratio = .............................................................................. [2][2]

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