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)
“Health can be squandered, but not stored up.”
—Mason Cooley (b. 1927)
“The scholar may be sure that he writes the tougher truth for the calluses on his palms. They give firmness to the sentence. Indeed, the mind never makes a great and successful effort, without a corresponding energy of the body.”
—Henry David Thoreau (1817–1862)