Input: Capacitor
The simplest model capacitor consists of two thin parallel conductive plates separated by a dielectric with permittivity ε . This model may also be used to make qualitative predictions for other device geometries. The plates are considered to extend uniformly over an area A and a charge density ±ρ = ±Q/A exists on their surface. Assuming that the length and width of the plates are much greater than their separation d, the electric field near the centre of the device will be uniform with the magnitude E = ρ/ε. The voltage is defined as the line integral of the electric field between the plates

What equation describes the charge density for an ideal model of a capacitor?
Output: ±ρ = ±Q/A


Input: Article: Things were looking grim for Prussia now, with the Austrians mobilising to attack Prussian-controlled soil and a French army under Soubise approaching from the west. However, in November and December of 1757, the whole situation in Germany was reversed. First, Frederick devastated Prince Soubise's French force at the Battle of Rossbach on 5 November 1757 and then routed a vastly superior Austrian force at the Battle of Leuthen on 5 December 1757 With these victories, Frederick once again established himself as Europe's premier general and his men as Europe's most accomplished soldiers. In spite of this, the Prussians were now facing the prospect of four major powers attacking on four fronts (France from the West, Austria from the South, Russia from the East and Sweden from the North). Meanwhile, a combined force from a number of smaller German states such as Bavaria had been established under Austrian leadership, thus threatening Prussian control of Saxony.

Now answer this question: What German areas were beginning to oppose Prussia?

Output: a number of smaller German states such as Bavaria had been established under Austrian leadership


Article: Himachal Pradesh is famous for its abundant natural beauty. After the war between Nepal and Britain, also known as the Anglo-Gorkha War (1814–1816), the British colonial government came into power and the land now comprising Himachal Pradesh became part of the Punjab Province of British India. In 1950, Himachal was declared a union territory, but after the State of Himachal Pradesh Act 1971, Himachal emerged as the 18th state of the Republic of India. Hima means snow in Sanskrit, and the literal meaning of the state's name is "In the lap of Himalayas". It was named by Acharya Diwakar Datt Sharma, one of the great Sanskrit scholars of Himachal Pradesh.

Question: What years was the Anglo-Gorkha War?
Ans: 1814–1816


Here is a question about this article: Several hundred pro-Tibet protesters gathered at the Trocadéro with banners and Tibetan flags, and remained there for a peaceful protest, never approaching the torch relay itself. Among them was Jane Birkin, who spoke to the media about the "lack of freedom of speech" in China. Also present was Thupten Gyatso, President of the French Tibetan community, who called upon pro-Tibet demonstrators to "remain calm, non-violent, peaceful".
What is the answer to this question: The Trocadéro was not disruptive of the relay and said to have been what?
****
So... peaceful


The problem: Answer a question about this article:
Athanasius recounts being a student, as well as being educated by the Martyrs of the Great (tenth) and last persecution of Christianity by pagan Rome.[citation needed] This persecution was most severe in the East, particularly in Egypt and Palestine. Peter of Alexandria, the 17th archbishop of Alexandria, was martyred in 311 in the closing days of that persecution, and may have been one of those teachers. His successor as bishop of Alexandria, Alexander of Alexandria (312–328) was an Origenist as well as a documented mentor of Athanasius. According to Sozomen, Bishop Alexander "invited Athanasius to be his commensal and secretary. He had been well educated, and was versed in grammar and rhetoric, and had already, while still a young man, and before reaching the episcopate, given proof to those who dwelt with him of his wisdom and acumen". Athanasius's earliest work, Against the Heathen – On the Incarnation (written before 319), bears traces of Origenist Alexandrian thought (such as repeatedly quoting Plato and used a definition from Aristotle's Organon) but in an orthodox way. Athanasius was also familiar with the theories of various philosophical schools, and in particular with the developments of Neo-Platonism. Ultimately, Athanasius would modify the philosophical thought of the School of Alexandria away from the Origenist principles such as the "entirely allegorical interpretation of the text". Still, in later works, Athanasius quotes Homer more than once (Hist. Ar. 68, Orat. iv. 29). In his letter to Emperor Constantius, he presents a defense of himself bearing unmistakable traces of a study of Demosthenes de Corona.
What famous Greek author did Athanasius  quote?
****
The answer: Homer


The problem: Answer a question about this article:
Northwestern requires that all new buildings be LEED-certified. Silverman Hall on the Evanston campus was awarded Gold LEED Certification in 2010; Wieboldt Hall on the Chicago campus was awarded Gold LEED Certification in 2007, and the Ford Motor Company Engineering Design Center on the Evanston campus was awarded Silver LEED Certification in 2006. New construction and renovation projects will be designed to provide at least a 20% improvement over energy code requirements where technically feasible. The university also released at the beginning of the 2008–09 academic year the Evanston Campus Framework Plan, which outlines plans for future development of the Evanston Campus. The plan not only emphasizes the sustainable construction of buildings, but also discusses improving transportation by optimizing pedestrian and bicycle access. Northwestern has had a comprehensive recycling program in place since 1990. Annually more than 1,500 tons are recycled at Northwestern, which represents 30% of the waste produced on campus. Additionally, all landscape waste at the university is composted.
What percentage of improvement over energy code requirements will be the goal of all new construction and renovations?
****
The answer:
at least a 20%