Question

Which will produce more heat in one second - 1 ohm resistance on 10 V or a ten Ohm resistance on the same resistance

Would that not depend on what variable we are taking to be constant ?
(Voltage or Current)

Answer 1

Hey mate !!!


here is your answer!!!

given ,

time = 1 second .

resistance = 1 ohm .


potential difference = 10 v


now , Heat produce by it


H = I ² Rt


where I = current

R = resistance

t = time


V = iR

10 ohm = 1 * I


I = 10 ampare


now ,


putting it in H = i² R t


we get


(10 ) ² * 1 ohm * 1 sec


=> 100 Joule .


============================


second case :-

resistance = 10 ohm .


voltage = 10 v

time = 1 second.

now V = iR

I = v/ R


I = 10 / 10

I = 1 ampare .


now.
heat produce


H = I ² Rt

=> 1² * 10 ohm * 1 sec
=> 10 Jules .




so case 1

PRODUCE more Heat energy that is. 100 joules



hope it helps you dear!!


thanks !!!

Answer 2

See that,
$H \propto \frac{1}{R}$
So, Amount of heat produced would be more in the 1 Ω resistance, as long as time is given to be same (here 1 second), or constant.

Here, we are assuming that voltage and time is same for both the conditions, or are constant.