Question

If three resistors 2ohm,3ohm and 5 ohm are connected in parallel then will the value of total resistance be less than 2ohm or greater than 2ohm or lie between 2ohm and 5ohm? Explain.

Answer 1

Here, R1=2ohm , R2=3ohm , R3=5ohm
1/Rp = 1/R1 + 1/R2 + 1/R3
1/Rp = 1/2 + 1/3 + 1/5
1/Rp = 3*5+2*5+2*3/2*3*5
1/Rp = 15+10+6/30
= 31/30
Rp= 30/31 = approx. 1 ohm

Thus the total resistance is less than 2 ohm and does not lie between 2ohm and 5ohm.

Also this is one of the characteristics of resistance combination in parallel.

Hope it helps

Answer 2

Answer:

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