Answered: When a camera flash goes off, the…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

When a camera flash goes off, the batteries immediately begin to recharge the flash's capacitor, which stores electric charge given by the following.

Q(t) = Q₀(1 − e^−t/a)

(The maximum charge capacity is Q₀ and t is measured in seconds.)

(a) Find the inverse of this function.
t(Q) = ____

Explain its meaning.

This gives us the time t necessary to obtain a given charge Q.

This gives us the charge Q obtained within a given time t.

This gives us the time t with respect to the maximum charge capacity Q₀.

(b) How long does it take to recharge the capacitor to 85% of capacity if a = 7? (Round your answer to one decimal place.)
______ sec

Expert Solution

Step 1

The question provides an equation for the electric charge stored in a camera flash's capacitor, given by $Q (t) = Q_{0} (1 - e^{- t / a})$ . Here, $Q_{0}$ represents the maximum charge capacity, t represents time in seconds, and a is a constant. The inverse of this function is needed to find the time necessary to obtain a given charge Q, which is represented by t(Q).

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