voltage is given by v=100 sin(200πt+π/4) Use differential calculus, calculate the time taken for the voltage to reach its fist maximum.

Question

anonymous · Answer

Since you're looking for a maximum, you're going to take the first derivative and then set it equal to zero.  Then solve for t in that situation.

$$dV=100(200\pi)\cos(200\pi t + \frac{\pi}{4})$$
Note that the 200pi is coming from the chain rule.  
Now set it equal to zero and solve for t:
$$0=100(200\pi)\cos(200\pi t + \frac{\pi}{4})$$

anonymous · Answer

$dV/dt$*

anonymous · Answer

Oops, right!  Thanks for catching that.

anonymous · Answer

thank you very much for your help.