Why did the english war loss the attack on fort quebec?

The Battle of Quebec (French: Bataille de Québec) was fought on December 31, 1775, between American Continental Army forces and the British defenders of Quebec City early in the American Revolutionary War. The battle was the first major defeat of the war for the Americans, and it came with heavy losses. General Richard Montgomery was killed, Benedict Arnold was wounded, and Daniel Morgan and more than 400 men were taken prisoner. The city's garrison, a motley assortment of regular troops and militia led by Quebec's provincial governor, General Guy Carleton, suffered a small number of casualties.

Montgomery's army had captured Montreal on November 13, and early in December they joined a force led by Arnold, whose men had made an arduous trek through the wilderness of northern New England. Governor Carleton had escaped from Montreal to Quebec, the Americans' next objective, and last-minute reinforcements arrived to bolster the city's limited defenses before the attacking force's arrival. Concerned that expiring enlistments would reduce his force, Montgomery made the end-of-year attack in a blinding snowstorm to conceal his army's movements. The plan was for separate forces led by Montgomery and Arnold to converge in the lower city before scaling the walls protecting the upper city. Montgomery's force turned back after he was killed by cannon fire early in the battle, but Arnold's force penetrated further into the lower city. Arnold was injured early in the attack, and Morgan led the assault in his place before he became trapped in the lower city and was forced to surrender. Arnold and the Americans maintained an ineffectual blockade of the city until spring, when British reinforcements arrived.

In the battle and the following siege, French-speaking Canadians were active on both sides of the conflict. The American forces received supplies and logistical support from local residents, and the city's defenders included locally raised militia. When the Americans retreated, they were accompanied by a number of their supporters; those who remained behind were subjected to a variety of punishments after the British re-established control over the province.

Shortly after the American Revolutionary War broke out in April 1775, a small enterprising force led by Ethan Allen and Benedict Arnold captured the key fortress at Ticonderoga on May 10. Arnold followed up the capture with a raid on Fort Saint-Jean not far from Montreal, alarming the British leadership there.[6] These actions stimulated both British and rebel leaders to consider the possibility of an invasion of the Province of Quebec by the rebellious forces of the Second Continental Congress, and Quebec's governor, General Guy Carleton, began mobilizing the provincial defenses. After first rejecting the idea of an attack on Quebec, the Congress authorized the Continental Army's commander of its Northern Department, Major General Philip Schuyler, to invade the province if he felt it necessary. As part of an American propaganda offensive, letters from Congress and the New York Provincial Assembly were circulated throughout the province, promising liberation from their oppressive government.[7] Benedict Arnold, passed over for command of the expedition, convinced General George Washington to authorize a second expedition through the wilderness of what is now the state of Maine directly to Quebec City, capital of the province.[8]

from  https://en.wikipedia.org/wiki/Battle_of_Quebec_(1775)

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