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In the following circuits (Figure 12.2), heat produced in the resistor or combination of resistors connected to a 12 V battery will be 

(a) same in all the cases 
(b) minimum in case (i) 
(c) maximum in case (ii) 
(d) maximum in case (iii)

Answers (1)

best_answer

Answer: (d)

Solution:
(i) Net resistance, R_{1}=2\Omega
(ii) Net resistance, R_{2} = (2 + 2) \Omega (In series)
R_{2} = 4 \Omega
(iii) Net resistance, 1/R_{3} = (1/2 + 1/2) \Omega (In parallel)
R_{3} = 1 \Omega
As we know that heat produced is inversely proportional to the resistance.
So, heat produced will be maximum in (iii) and minimum in (ii)
Therefore, option (d) is correct.

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