Silicon, Circuits, and the Digital Revolution
"What's wrong with the carbide lantern?"
Before Chris could utter a reply to Pat's question, darkness suddenly descended.
"Great! I've been begging my folks for a new lamp since the last time we went caving. Too late now! Let's fire up one of our candles."
It took a bit of rummaging through the pack to find one in the shroud of darkness. Finally ready, Pat struck a match but it immediately flickered out. This happened again with the second match, and again with the third. The reason suddenly occurred to Chris.
"You've gotta be kidding me -- I think the air is bad down here! The guidebook didn't say anything about that, did it?"
"Not that I remember. You know, my breath does seem a little short right now that you mention it. Think we made a wrong turn?"
"Don't know, but we need to get out of here right now. Shine your flashlight over here while I take another look at the map."
A minute passed while Pat rifled through the pack again.
"Bad news! I must have left the flashlight lying on the ground where we ate our breakfast."
"You'd better be joking! We walked for five hours since we ate. You know, we made a lot of twists and turns back there -- we can't make it out without a light."
"I'm serious. I remember taking it out to get the bananas. Guess I forgot to put it back."
"Never mind, I keep a small flashlight in my jacket. Heh, where is it? Damn him, my little brother is always stealing my #$%& stuff!"
"Calm down! Acting out won’t help anything!"
"OK. OK. You’re right. What do we have for a light?"
"Well, I do have a spare bulb for my lantern in my pocket. But I didn't bring a spare battery; they're so heavy."
"Do we have anything else with batteries in it? I've got my pager, but I think it only has one AAA cell."
"Weird, I've got my pager too. Why do we bring these along?"
"Good thing we did! But the bulb is for a 6 V battery. Do you think it will work with two AAA cells?"
"Even if it does, do you think it will burn long enough for us to get out? I'm starting to get worried..."
"Maybe we can use one at a time to make them last longer. It won't be as bright and we’ll have to walk slower, but maybe one at a time would be better. Heh, you had physics last term! You studied circuits. You had the lab. You got an A, right! So you must know about batteries. What should we do?"
The thoroughness of your investigation, in particular the determination of longevity of the illumination, will largely determine your grade for this part.
You should refer to the following online resources for supporting data. Completing the problem worksheet will guide you through the solution.
Online Battery Resources:
Some Battery Characteristics
Primary Battery Types
As the Battery Goes, So Goes the....
from the NYTimes
Stretching battery life and saving money at Andy Baird's camera site
National Speleological Society (NSS)
Commander Cody Caving Club, local grotto of the NSS
Important Caving Information, Safety, and Conservation, from the San Francisco Bay grotto of the NSS.