Current Electricity Charging Discharging Of Capacitors Question 457
Question: Two heater wires of equal length are first connected in series and then in parallel. The ratio of heat produced in the two cases is
[MNR 1987; UPSEAT 1999; MP PMT 1996, 2000, 01; AIIMS 2000; MP PET 1999, 2002; BHU 2004; Pb PET 2004]
Options:
A) 2 : 1
B) 1 : 2
C) 4 : 1
D) 1 : 4
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Answer:
Correct Answer: D
Solution:
Power consumed means heat produced. For constant potential difference $ {P _{\text{consumed}}}=\text{Heat}\propto \frac{1}{R _{eq}} $
$ \
Therefore \frac{H _{1}}{H _{2}}=\frac{R _{2}}{R _{1}}=\frac{R/2}{2R}=\frac{1}{4} $ (Since $ R _{2}=\frac{R.R}{R+R}=\frac{R}{2} $ and $ R _{1}=R+R=2R) $
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