a) much energy is stored in a 10.2 mH inductor carrying a 1.15 A current?b) How much current would the inductor mentioned in part A have to carry to store 1.00 J of energy?c) Is the amount of current found in part B reasonable for ordinary laboratory circuit elements?-Yes, it's reasonable for ordinary laboratory circuit elements.-No, it's not reasonable for ordinary laboratory circuit elements. It's too large.
a) The energy stored in an inductor is given by U 1/2 L I^2 1/2*(10.2E-3)*(1.15)^2 6.74E-3J 6.74 mJ b) The current required to have 1 J stored in the inductor is then I sqrt (2*U/L) sqrt(2*1/10.2E-3) 14. A That is not an unreasonable amount of current. The inductor needs to be made of wire with diameter larger than a 30 AWG otherwise it will melt. Not sure if a 10.2mH inductor can be made with such wire.
