English stories

\begin{aligned} & \Rightarrow \mathrm{dE}=\frac{\mathrm{Adl}}{\mathrm{r}} \cdot 2 \sin \left(\frac{\omega \mathrm{t}-\mathrm{kr}+\mathrm{k} \Delta+\omega \mathrm{t}-\mathrm{kr}-\mathrm{k} \Delta}{2}\right) \cos \left(\frac{\omega \mathrm{t}-\mathrm{kr}+\mathrm{k} \Delta-\omega \mathrm{t}+\mathrm{kr}+\mathrm{k} \Delta}{2}\right) \\ & \Rightarrow \mathrm{dE}=\frac{2 \mathrm{Adl}}{\mathrm{r}} \sin \left(\frac{2 \omega \mathrm{t}-2 \mathrm{kr}}{2}\right) \cos \left(\frac{2 \mathrm{k} \Delta}{2}\right) \\ & \Rightarrow \mathrm{dE}=\frac{2 \mathrm{Adl}}{\mathrm{r}} \sin (\omega \mathrm{t}-\mathrm{kr}) \cos (\mathrm{k} \Delta) \\ & \Rightarrow \mathrm{dE}=\frac{2 \mathrm{~A}}{\mathrm{r}} \sin (\omega \mathrm{t}-\mathrm{kr}) \cos (\mathrm{kl} \sin \theta) \mathrm{dl} As the wave eq is given by: $$ \frac{\partial^2 y}{\partial x^2}=\frac{1}{v^2}\left(\frac{\partial^2 y}{\partial x^2}\right) $$ We want to find out the solution of this equation. We know that general formula for...

Comparing eq (1) and (2), we have: i. $2 \pi f t=100 \pi t \Rightarrow f=50 \mathrm{~Hz}$ ii. $I_o=20 \mathrm{~A}$ iii. $I_{R M S}=\frac{I_o}{\sqrt{2}}=\frac{20}{\sqrt{2}}=14 \mathrm{~A}$

  Sometimes small events or stories are very important to change anybody’s life. If we look around, we will take many examples of this concept. People with an average lifestyle got an abrupt change in their lifestyle by a small event or story and resultantly future of such people gets a drastic revolution.   We can take an example as follows. In a village, there was a young boy names Amjad, who was the son of a poor but hard-working farmer. His father was very poor but always tried his level best to get a good education for his son. That poor farmer sent his son to a good school in a nearby village, but his son Amjad was a very idle student and never took interest in his studies. Amjad’s teacher also tried their best but all in vain. Amjad was also reluctant to go to school as he expected to be scolded by his teacher for not doing his homework. He was fond of playing with his friends and never realized the problems of his parents. No doubt Amjad was a talented boy but h...

 Hard work is the key to success. nothing in this world is impossible for a person who targets to achieve with commitment and hard work. If we give a fried fish to a person without any of his efforts, then he will become habitual of doing nothing and aging the benefit without hard work, but if we teach him how to catch a fish, and use it as his food, then he will be more benefitted and will never try to beg in front of anyone. We can justify this statement by the following story. There was a school in a village, where children of mostly poor communities were getting their education. No uniform code was there in this school and students used to come in any of their available dresses. Education standards were reasonable but the teachers of this school were very much committed to their job in grooming their students, especially with respect to general ethics. The poor people were earning their livings hardly but were committed to educating the next generation for a better future. One ...

Once upon a time, there was a boy named Asad, who was ten years old. He was a very intelligent and outstanding student and always got good positions in his class. He was a well-groomed boy and never quarreled with anyone and never hurt anyone with his words. Because of his good habits, he was friendly at school, and in his surroundings. His father and mother were pleased with him and always felt pride in their son. Asad had no other siblings, therefore he was too connected to his mother. He always used to tell his mother about each and every event at his school. He was also very helpful to his mother in doing any task at home. He was a very obedient child who never missed school. His father was an accountant in a private company and all the company's accounting work was under his responsibility. His father used to work six days a week and would come home late at night. Due to his busy schedule, he could not give more time to Asad. His father was very satisfied that because of h...

 Many a times it is considered by people that they can take the poor people under pressure by showing their wealthy position, but sometimes it proves wrong when they face any wise poor person. Wisdom is not dependant on financial outlook of any person, rather it is mainly blessed by Allah Almighty and additionally experience of one's life matters. We can take following example for this. There was a village in hilly area which was very beautiful place with respect to it's landscape as well as it's weather. People of this village were mostly poor but few of them were having good financial condition as they owned lands which the poor had to cultivate to earn their livelihood. There was an old tradition that people used to sit together at evening at a gathering place called "Dara", after completing their work and do some chit chat. Many a times such gatherings were done to resolve any dispute within two or more parties. Such gatherings were very useful tool for resolu...

Happiness and satisfaction are the state of mind. It can never be assumed that a person is happy due to too much money or having plenty of facilities. We can never say that a person is happy after being well settled. Rather we generally see poor people more satisfied than the rich. Then what is the thing for the poor to retain him happy, this is inner satisfaction. In other words we can say, the state of mind which makes him happy and contented. We take an example of such condition. Ashfaq Ahmad, who was a very known writer of Pakistan says that he has served for several years in Radio Pakistan and got posted at various locations. He also remained posted at Gilgit Radio Station. It was a small office but in a beautiful place. There a person named Ghulab, who was a low paid employee at Gilgit Radio Station and was doing duty as a office boy. Ghulab always remained unhappy and worried by his appearance. We never saw him happy and contented. We thought him unhappy because of his financial...

 Once upon a time, there was a family of poor weavers. They were living in a village and had a very simple life style. They had combined family system, where elders were respected very well.  House of the family was of old pattern where pitches were fixed in the walls of rooms. Said pitchers were used for storage of wheat in these. This family had also goats in its house. One day, one goat, which had horns, tried to eat wheat from the pitcher and entered its head in the pitcher. In this effort, goat's head was struck in the pitcher and she was unable to get it out. Now the poor family was very much worried as they were unable to get any solution. This family had an old man who was bed ridden, but deemed to be very wise within the family. So everyone agreed to get advice from that old man to get the solution. The whole family gathered around the old man's bed and put their problem in front of him. The old man heard the situation and remained very calm to dig out the solution. N...

It is said that “Hard work without genius is more than genius without hard work”. Only genius will be useless if there is no hard work as hard work is always key to success in any task.  But if genius combines with hard work, then it will be matchless. There will be nothing to beat that person. We can take a well-known story for this There was a crow who was very thirsty, he couldn’t find water anywhere. He wandered around in search of water, but he could not find it. He was tired and sat on the wall of a house. He saw a pitcher placed in the house. The crow flew and sat at the edge of the pitcher.  He was very happy as there was water in the pitcher, but unfortunately, the water level was very low and the crow was unable to reach it to drink it. The crow tried its level best but all in vain. At last, the crow used its intelligence and got a solution to raise the water level for its easy access to drink. The crow saw some pebbles near that pitcher and started picking the...

Once upon a time, in the past, a king used to rule a country. He was very keen to get the gold. The inhabitants of the country were very lazy and careless.  Their occupation was farming. They used to do nothing but dig the ground hoping for gold all day long. Now those people were very worried because the ruler of the time wanted wealth and because of not getting wealth he also oppressed them a lot. These people thought a lot but could not see any solution. One of them, who is very genius and hard working wants to help the people. He thought of an idea. He went to the king and said to him that he had seven sacks of gold but the problem is here that some time ago, he had buried these sacks in some ground. Now he had forgotten where they were. He told the king that it would take a long time to fetch the gold for which he needed many men, horses, and bullocks. First we have to dig the ground and find out where that gold is and all this work can take up to a year. The man said, “if y...

 It is mentioned once that there were three friends who were very fond of each other. People used to give examples of their friendship. All three friends grew up together studied in the same school and now used to do business together. They were very close friends. Their business was going very well. They were very hard working. But one day it happened and they started losing business. Their night sleep is forbidden. He tried hard to manage the business but gradually, the business came to a standstill. Now the three of them were very worried and they were getting poorer day by day. They were unemployed and had no work to do. They thought they should go to the city and do business there. They packed their things and left for the city. Even on the way, there was a forest. The sun was setting and it was going to be night. The three of them thought why not stay here tonight. They put on their own beds and sat down. They were still sitting when after a while he saw a shining object. ...

Humans are living creatures that are not only made of flesh and blood but have some feelings and thoughts, and are to follow certain rules and ethics. But they are running behind wealth, and fame and exhibit a materialistic approach, violating the basics, for which they are in this world. Loyalty is one of these basic values which humans are to adopt. If humans look at the loyalty and sincerity of an animal, like a dog, they will get ashamed of themselves. Such an example is given in the following paragraphs. Once upon there was a family of Bedouin, who were having a herd of sheep. This family used to travel far away in search of food for their sheep, keeping in view the weather changes. During winter this family always preferred to move to the plain and in summer towards the hilly areas. This family had a dog of a good breed which always moved with the herd of sheep for security purposes. This dog had a special affiliation with the Bedouin family and the sheep. It was winter season ...