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Q.

Two 1000 W heaters when connected in parallel across 220 V supply produce heat Hp in time t. If they are connected in series across the same power supply, the heat produced in the same time is HS. What is (HP / HS) ?

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a

4

b

2

c

0.5

d

0.2

answer is A.

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Detailed Solution

Power in parallel Pp=P1+P2Power in series PS=P1P2/P1+P2We know that heat produced H = Pt∴ HP=PP×t=P1+P2tand HS=PS×t=P1P2/P1+P2t∴ HPHS=PPPS=P1+P22P1P2=2000×20001000×1000=4
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