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A Combination Consists of Three Resistors in Series. Four Similar Sets Are Connected in Parallel. If The Resistance of Each Resistor is 2 Ohm, Find the Resistance of the Combination. - Physics

A combination consists of three resistors in series. Four similar sets are connected in parallel. If the resistance of each resistor is 2 ohm, find the resistance of the combination. 

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Solution

Resistance of each set:
1r = 2 + 2 + 2 = 6 ohm
2r = 2 + 2 + 2 = 6 ohm
3r = 2 + 2 + 2 = 6 ohm
4r = 2 + 2 + 2 = 6 ohm
Now these resistances are arranged in parallel : 

`1/r=1/r_1+1/r_2+1/r_3+1/r_4` 

`1/r=1/6+1/6+1/6+1/6` 

`r=6/4=1.5 ohm `

Concept: System of Resistors - Resistances in Parallel
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APPEARS IN

Selina Concise Physics Class 10 ICSE
Chapter 8 Current Electricity
Exercise 8 (B) | Q 11 | Page 201
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