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You are working late in your electronics shop and find that you need various res

ID: 1318572 • Letter: Y

Question

You are working late in your electronics shop and find that you need various resistors for a project. But alas, all you have is a big box of 10.0 ?resistors. Show how you can make each of the following equivalent resistances by a combination of your 10.0 ? resistors.

Part A

35 ?

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Part B

1.0 ?

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Part C

3.33 ?

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Part D

7.5 ?

You are working late in your electronics shop and find that you need various resistors for a project. But alas, all you have is a big box of 10.0 ?resistors. Show how you can make each of the following equivalent resistances by a combination of your 10.0 ? resistors.

Part A

35 ?

35 A parallel combination of three resistors then connected in series with three others. A parallel combination of two resistors then connected in series with three others. A parallel combination of three resistors then connected in series with two others.

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Part B

1.0 ?

1.0 Ten in parallel. Ten in series. A parallel combination of three resistors then connected in series with two others connected in parallel.

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Part C

3.33 ?

3.33 Three in series. Three in parallel. A parallel combination of three resistors then connected in series with three others.

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Part D

7.5 ?

7.5 Two in parallel in series with four in parallel. Three in parallel in series with two in parallel. Two in parallel in series with five in parallel.

Explanation / Answer

a)

(10/3) + 30 = 33.333 ohms

(10/2) + 30 = 35 ohms

(10/3)+20 = 23.33

b)

(10/10) = 1 ohms

10*10 = 100 ohms

(10/3) + (10/2) = 8.33

c)

10*3 = 30

10/3 = 3.33

(10/3) + (10/3) + (10/3) = 10

d)

(10/2) + (10/4) = 7.5

(10/3) + (10/2) = 8.33

(10/2) + (10/5) = 7

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