(a)State Kirchhoff's first law.
2024 · M/J · 9702/21 | Q6
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A cell with internal resistance r is connected to two resistors of resistances R₁ and R₂ as shown in Fig. 6.1.
The potential differences (p.d.s) across R₁ and R₂ are V₁ and V₂ respectively. The terminal p.d. across the cell is V. The current in the circuit is I.
(b)Use Kirchhoff's laws to show that the total resistance R_T of the external circuit is given by R_T = R₁ + R₂.

A cell with internal resistance r is connected in series with two resistors R₁ and R₂ (Fig. 6.1). The electromotive force (e.m.f.) of the cell is 1.50 V. The values of R₁ and R₂ are 10 Ω and 15 Ω respectively. The terminal p.d. of the cell is 1.35 V.
(c)Calculate the internal resistance r of the cell.
9702/21/M/J/24Cambridge International AS & A Level Physics 9702 · May/June 2024 · Paper 2 variant 1 · Question 6