Calculation of Stored Energy
The magnetic energy stored by a coil carrying a current is given by one half of the inductance of the coil times the square of the current.
Where
- E = energy measured in joules
- L = inductance measured in henries
- I = current measured in amperes
Now let’s consider a cylindrical coil with conductors of a rectangular cross section. The mean radius of coil is R. a and b are width and depth of the conductor. f is called form function which is different for different shapes of coil. ξ (xi) and δ (delta) are two parameters to characterize the dimensions of the coil. We can therefore write the magnetic energy stored in such a cylindrical coil as shown below. This energy is a function of coil dimensions, number of turns and carrying current.
Where
- E = energy measured in joules
- I = current measured in amperes
- f(ξ,δ) = form function, joules per ampere-meter
- N = number of turns of coil
Read more about this topic: Superconducting Magnetic Energy Storage
Famous quotes containing the words calculation of, calculation, stored and/or energy:
““To my thinking” boomed the Professor, begging the question as usual, “the greatest triumph of the human mind was the calculation of Neptune from the observed vagaries of the orbit of Uranus.”
“And yours,” said the P.B.”
—Samuel Beckett (1906–1989)
“Common sense is the measure of the possible; it is composed of experience and prevision; it is calculation appled to life.”
—Henri-Frédéric Amiel (1821–1881)
“After eleven years I was composing
Love-letters again, broaching the word ‘wife’
Like a stored cask,”
—Seamus Heaney (b. 1939)
“His eloquence was of every kind, and he excelled in the argumentative as well as in the declamatory way. But his invectives were terrible, and uttered with such energy of diction, and stern dignity of action and countenance, that he intimidated those who were the most willing and the best able to encounter him. Their arms fell out of their hands, and they shrunk under the ascendant which his genius gained over theirs.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)