The flash unit on a camera operates by storing charge on a capacitor and releasing it 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 100.01 86.10 74.13 63.82 54.94 47.30 (a) Use a graphing calculator or computer to find an exponential model for the charge. (Round your coefficients to three significant digits.) Q(t) = (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 = 0.08 s. (Round your answer to two decimal places.) Q'(0.08) = μA

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The flash unit on a camera operates by storing charge on a capacitor and releasing it 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 100.01 86.10 74.13 63.82 54.94 47.30
(a) Use a graphing calculator or computer to find an exponential model for the charge. (Round your coefficients to three significant digits.)
Q(t) =
(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 = 0.08 s.
(Round your answer to two decimal places.)
Q'(0.08) =
μA
Transcribed Image Text:The flash unit on a camera operates by storing charge on a capacitor and releasing it 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 100.01 86.10 74.13 63.82 54.94 47.30 (a) Use a graphing calculator or computer to find an exponential model for the charge. (Round your coefficients to three significant digits.) Q(t) = (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 = 0.08 s. (Round your answer to two decimal places.) Q'(0.08) = μA
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