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An amoeba has $1.00 \times 10^{16}$ protons and a net charge of 0.300 $\mathrm{pC}$ (a) How many fewer electrons are there than protons? (b) If you paired them up, what fraction of the protons would have no electrons?

a)1.875$\cdot 10^{6}$b)1.875$\cdot 10^{-10}$

Physics 102 Electricity and Magnetism

Chapter 18

Electric Charge and Electric Field

Jade P.

September 1, 2021

why is the exponent 6 instead of positive 7 ?

University of Michigan - Ann Arbor

University of Sheffield

McMaster University

Lectures

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to solve this question, we must find out how many electrons are there when you have a charge. Oh, 0.3 RICO COLUMN Because the question say's amoeba has a point. Three Pico column off net charge. It means these many electrons are absent. No, how many electrons are absent that you can find out by knowing that electron has okay? 1.6 times 10 power negative. 19 Coolum of charge So and the number of electrons missing from amoeba is equal to Q. Divided by Elektronik. Charge now Q is 0.3 big problem, so there's a factor off. 10 Power Negative 12 divided by 1.6 times 10 Power Negative 19 Let's do this calculation when three divided by 1.6 gives you 0.1875 Your 0.18 seven by times 10. Power less seven. So to keep this in terms of three significant digits, let's write it 1 88 times 10 Power four. These many number of electrons missing over these many number of electrons are less so if we have 1 88 times 10 power four electrons extremely trance, and we add him to amoeba the A member will be neutral Now the next part asks us to find what fraction of protons. I will not have any electron. So we know that there are 10 power 16 protons. So the fraction frank equals number of electrons which are less electrons, I would say, or the number of electrons missing. So the one that we found before and divided by net number of protons. So let's denoted by Pete So missing electrons were 1 88 times 10 powerful. So when 88 times 10 Power four divided by 10 power 18. So which is equal to Oh, sorry, the Proton starting power 16. So let's correct that. Okay? No, When 88. This will give you the answer US 1 88 times 10 power Negative 12. So this is the fraction off protons which will have no electrons to pair with. This is a tiny fraction compared to this number, but it's quite a lot

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