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Suppose you want a capacitor bank with a total capacitance of 0.750 F and you possess numerous 1.50 mF capacitors. What is the smallest number you could hook together to achieve your goal, and how would you connect them?

500

Physics 102 Electricity and Magnetism

Chapter 19

Electric Potential and Electric Field

Electric Charge and Electric Field

Gauss's Law

Electric Potential

University of Washington

Simon Fraser University

University of Winnipeg

Lectures

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So let's look at the given information were given that net capacitance should be point 75 That's fact. Now we're given that we only have small capacity is off capacities given by 1.5 million. Fire it so on. And we want to make this capacitance with these capacitors available to us. So to make capacitance with the least number of capacitors, all we have to do is connect him in parallel connection. So if you connect him all in parallel like this, the capacitance will be maximum on dhe. You will need the least capacitors. So all we have to do is add all the capacitance is C N is equal to C one plus see one of you and this is 10 times. All we have to do now is find this end. Since we're adding, see when 10 times this addition will be and see one C n is equal to pen see one. So let's substitute on the values and and then we'll be see end. That's 10.75 divided by 1.5 million fatted. That's 14 and five times change our negative three. So if you do this calculation, you shall get 500. So n is equal to 500. So all we need is 500 capacities to make the desired capacitance. This is the smallest number you can have. Any other combination other than this combination, you'd make even need more capacitors than 500. Thank you.

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