Lr Circuit Current. Energy stored per unit time is d t d u d t d 2 1 l i 2 l i d t d i 2 2 4 1 6 w. For lr circuit decay constant is τ l l r 11 again from equation 8.
Live classes video lectures test series lecturewise notes topicwise dpp dynamic exercise and much more on physicswallah app download the app from google. Energy stored in an inductor in an lr circuit example a current of 2 a is increasing at the rate of 4 a s through a coil of inductance 2 h. For lr circuit decay constant is τ l l r 11 again from equation 8.
Energy stored per unit time is d t d u d t d 2 1 l i 2 l i d t d i 2 2 4 1 6 w.
Hence the time in which the current in the circuit increases from zero to 63 of the maximum value of i max is called the constant or the decay constant of the circuit. In the first period of time τ the current rises from zero to 0 632 i0 since i i0 1 e 1 i0 1 0 368 0 632 i0. Once the current reaches this maximum steady state value at 5τ the inductance of the coil has reduced to zero acting more like a short circuit and effectively removing it from the circuit. Energy stored per unit time is d t d u d t d 2 1 l i 2 l i d t d i 2 2 4 1 6 w.
