Calculating the current in an inductor

Calculating the current in an inductor.

The voltage across a 10.6H inductor is given as: V = (3t + 25.4)1/2 volts. Find the current in the inductor at 5.25 seconds if the initial current is 6.15A.

   Write the initial equation.

  

Now try the substitution for u, du and n.

   u = 3t + 25.4      du = 3 dt      n = 1/2

   

Now integrate:

   i = 0.0314 2/3 u 3/2 + C

   i = 0.0210 (3t + 25.4) 3/2 + C

We need some initial conditions in order to solve for C.

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