Current Electricity Charging Discharging Of Capacitors Question 570

Question: A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be

[AIEEE 2005]

Options:

A) One fourth

B) Halved

C) Doubled

D) Four times

Show Answer

Answer:

Correct Answer: C

Solution:

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

Therefore $ \frac{H _{Half}}{H _{Full}}=( \frac{R _{Full}}{R _{Half}} )=\frac{R}{R/2}=2 $

Therefore $ H _{Half}=2\times H _{Full} $ .