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Find the current through a 5-H inductor if the voltage across it is
Also find the energy stored within 0 < t < 5s. Assume i(0)=0.
3012 t0 v(t) ,
Solution
Here in the equation we have,
Ldi/dt= v(t).
or di/dt=v(t)/L.
Sub the values we have di/dt=30t 2 /5.
or di/dt=6t 2.
Now inorder to find the current we have to integrate on bothsides of the above expression.
or i=6t 3 /3.
i=2t 3. Ampere.
Now the energy stored E=1/2LI 2 = 1/2*5*(2t 3 ) 2 =1/2*20*4t 6 =[ 1/2*20*4*5 6
]=156.25kwatts.[sub the value of t=5s]
Find the current through a 5-H inductor if the voltage across it is Al.docx

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Find the current through a 5-H inductor if the voltage across it is Al.docx

  • 1. Find the current through a 5-H inductor if the voltage across it is Also find the energy stored within 0 < t < 5s. Assume i(0)=0. 3012 t0 v(t) , Solution Here in the equation we have, Ldi/dt= v(t). or di/dt=v(t)/L. Sub the values we have di/dt=30t 2 /5. or di/dt=6t 2. Now inorder to find the current we have to integrate on bothsides of the above expression. or i=6t 3 /3. i=2t 3. Ampere. Now the energy stored E=1/2LI 2 = 1/2*5*(2t 3 ) 2 =1/2*20*4t 6 =[ 1/2*20*4*5 6 ]=156.25kwatts.[sub the value of t=5s]