Legal rational authority is where authority is attached to certain bureaucratically placed positions. One example of this the Lord Chancellor who has gained his authority by being appointed by the British Prime Minister.
However with power Max Weber describes it as the ability to influence a desired outcome (in principle the ability to do whatever you want to a certain extent). An example of a person who has power can be Tony Blair who has the power to call the country to war in Iraq and has gained his authority to power through the use of the governmental electoral system.
Whilst another person who has power is a terrorist as he has the power to take peoples lives and to a certain point dictate the rule of a government. However he/she has not got the authority to their power as they have not been elected as a leader (but have taken the responsibility upon there selves and acted upon it.) Although on the other hand with a large terrorist organisation, such as the Al-Qaeda, the leader would have authority within the organisation as he has gained his authority through the use of his own charisma and style and also by acting as a de facto ruler (a de facto ruler being a person who has gained power and authority by deposing or overriding the previous leader or leaders).
This principle (all but the de facto ruler part) also applies for a business man, take for example Bill Gates, he has power as he owns the biggest computer company in the world and, to certain degree, is able to dictate the way in which has gained his authority to be the head of the company through the use of his own charisma and his own ideas.
Another example is of Rupert Murdock who has power by being the head of the biggest media company in the world owning both British, Chinese and American media companies just this gives him the power to influence the way in which people both think and even vote to such a great extent that sometimes politicians are seen to go to him before a general election and try to persuade him to portray their political party in a good light. He has gained his authority as the head of his many media companies and within his own field through the use of his charismatic power.
So in conclusion I believe power and authority to go together as to gain power in many respects you must have authority through your own charismatic performance as to become a good leader you must have good authority and not power. As you must be able to influence others through the use of good charisma. In other words to be a good leader you must be able to persuade people to do your bidding and not force them to.
