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For a limited time interval, the current through a 9.71 microhenries (or, equivalently, 9.71×10^-6 henries) inductor...

For a limited time interval, the current through a 9.71 microhenries (or, equivalently, 9.71×10^-6 henries) inductor is modelled by

i(t)==(0.489t)^1/3 amperes,

where t is the time in seconds. Recall that, in this case, the voltage function is given by v(t)=L×i'(t), where the voltage, inductance, and current is given in volts, henries, and amperes, respectively.

(a) Find the voltage function.
  

(b) Find the voltage in microvolts at 1.671.67 seconds.

Math   Calculus   
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