Posted by TheOldHokie on May 10, 2013 at 05:42:08 from (108.22.203.24):
In Reply to: Re: point posted by TheOldHokie on May 10, 2013 at 04:27:18:
Here is an example from the E&M section of my trusty Halliday and Resnick demonstrating how coil energy is computed using simple inductance. What I'm looking for is something similar from you showing how it would be done using Einstein's relativistic mass/energy relationship (e=mc2). A coil has an inductance (L) of 5.0 henrys and a resistance (R) of 20 ohms. If a 100 volt emf (E) is applied what energy (U) is stored in the magnetic field after current has built to it's maximum?
Maximum current: i = E/R = 100 volts/20 ohms = 5.0 amps Stored energy: U = 1/2Li2(5.0 henrys)(5.0 amps)2 = 63 joules
Also note that the total energy stored by the coil is less than the total energy input by the power source - some of that energy is lost as heat due to the electrical resistance of the coil. (First Law of Thermodynamics)
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