Two power lines, each 290 m in length, run parallel to each other with a separation of 23 cm. If the lines carry parallel currents of 120 A, what are the magnitude and direction of the magnetic force each exerts on the other

To solve this problem we will apply the concepts related to the Magnetic Force, which is defined as the product between the currents multiplied by the length where they are transmitted and inversely proportional to the distance that separates them, considering between them, the costs indicated below . We will simply replace the values and obtain the desired value,

Here,

= Permeability of free space

= Current at each state

= Length

= Distance of separation

Replacing with our values we have that the force is,

Therefore the magnitude of the force is 3.63N, and  if the currents are in same direction then force is attractive, while if the currents are in opposite direction then force is repulsive ( force is same).

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.

answer: 31, 5556. 952 seconds