Why the temperature of a resistor increase when a current pass through it

So, when an electrical charge passes through a resistor, some of that electrical energy is transferred into heat, increasing the temperature. This extra energy causes the particles in the resistor to vibrate more. With these particles moving more, it is more difficult to for the electrons to move through the resistor.

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.