Current Electricity Charging Discharging Of Capacitors Question 557

Question: If two wires having resistance R and 2R. Both joined in series and in parallel then ratio of heat generated in this situation, applying the same voltage,

[BCECE 2004]

Options:

A) 2 : 1

B) 1 : 2

C) 2 : 9

D) 9 : 2

Show Answer

Answer:

Correct Answer: C

Solution:

Heat $ H=\frac{V^{2}t}{R} $

Therefore $ H\propto \frac{1}{R} $ (If V, t constant)

Therefore $ \frac{H _{S}}{H _{P}}=\frac{R _{P}}{R _{S}}=\frac{( \frac{R\times 2R}{3R} )}{(R+2R)}=\frac{2}{9} $