Cell emf is fixed and internal resistance r is also fixed. As value of R changes power delivered to circuit by cell also changes. Variation of power delivered with R is shown in graph.
(i) Emf of the cell is
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Ans.
(i)
Sol.
⇒ R eq = 0.3R
Power is maximum at R = 6 Ω Ω
for maximum delivered power
R exteq. = r
0.3R = r
0.3 × 6 = r
r = 1.8 Ω Ω
i = 
= 
P max. = i 2 × 0.3R
= 
× r = 
5 = 
E = 6 volt
current through battery = 
p.d. across battery = 
× 1.8 = 3V
current through 3R = 
= 0.17A
p.d. across 2R = 
× 3 = 2 volt
(ii)
Sol.
⇒ R eq = 0.3R
Power is maximum at R = 6 Ω Ω
for maximum delivered power
R exteq. = r
0.3R = r
0.3 × 6 = r
r = 1.8 Ω Ω
i = 
= 
P max. = i 2 × 0.3R
= 
× r = 
5 = 
E = 6 volt
current through battery = 
p.d. across battery = 
× 1.8 = 3V
current through 3R = 
= 0.17A
p.d. across 2R = 
× 3 = 2 volt
(iii)
Sol.
⇒ R eq = 0.3R
Power is maximum at R = 6 Ω Ω
for maximum delivered power
R exteq. = r
0.3R = r
0.3 × 6 = r
r = 1.8 Ω Ω
i = 
= 
P max. = i 2 × 0.3R
= 
× r = 
5 = 
E = 6 volt
current through battery = 
p.d. across battery = 
× 1.8 = 3V
current through 3R = 
= 0.17A
p.d. across 2R = 
× 3 = 2 volt
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