First slide

Sources of emf and Kirchhoff's laws

Question

The n rows each containing m cells in series are joined in parallel. Maximum current is taken from this combination across an external resistance of $3 Ω$ . If the total number of cells used are 24 internal resistance of each cell is $0.5 Ω$ .Then

Easy

A

m = 8, n = 3
B

m = 6, n = 4
C

m = 12, n = 2
D

m = 2, n = 12

Solution

$n \to n u m b e r o f r o w s m \to t o t a l n o o f c e l l s i n a r o w R = 3 Ω , r = 0.5 Ω m n = 24 F o r m a x i m u m c u r r e n t i n R R= \frac{mr}{n} \Rightarrow 3= \frac{m}{n} \times 0.5 \Rightarrow m = 6 n N o w u s e m n = 24 \Rightarrow {6n}^{2} = 24 \Rightarrow n = 2, m = 12$

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