The flash unit on a camera operates by storing charge on a capacitor and releasing i1 suddenly when the flash is set off. The following data describe the charge Q remaining on the capacitor (measured in microcoulombs, μC) at time t (measured in seconds).
t | 0.00 | 0.02 | 0.04 | 0.06 | 0.08 | 0.10 |
Q | 100.00 | 81.87 | 67.03 | 54.88 | 44.93 | 36.76 |
(a) Use a graphing calculator or computer to find an exponential model for the charge.
(b) The derivative Q′(t) represents the electric current (measured in microamperes, μA) Flowing from the capacitor to the flash bulb. Use part (a) to estimate the current when t = 0.04 s. Compare with the result of Example 2.1.2.
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