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What is the Resistance Between a and B in the Figure Given Below?

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Question

 

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Solution

The resistors of values 20 Ω, 10 Ω and 20 Ω are connected in series. Therefore, their net resistance is:
R = 20 Ω + 10 Ω + 20 Ω
R = 50 Ω 

This combination of resistors are connected in parallel with that of value 30 Ω. Therefore, the resistance R' is:
1/R' = (1/50) + (1/30)
1/R' = (3 + 5)/150
R' = 150/8
R' = 18.75 Ω

The resistance, R' is connected in series with the two resistors of values 10 Ω each. Hence, the total resistance between A and B is:
18.75 + 10 + 10 = 38.75 Ω

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Chapter 4: Electricity - Exercise 5

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Lakhmir Singh Physics [English] Class 10
Chapter 4 Electricity
Exercise 5 | Q 50

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