Physics, asked by dhanyarajendran1995, 1 year ago

Three resistors of 2ohm,3ohm,6ohm what is the highest resistance, what is the least resistance and can you make a resistance 4.5ohm using these three draw it

Answers

Answered by DynamoSurya
34

Answer:

For Highest Resistance Combine Those three resisters in Series.

And

For Least Resistance Combine them in Parallel Combination .

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Answered by tushargupta0691
0

Concept:

Highest resistance can be obtained by putting all the resisters in series whereas, Lowest resistance can be obtained by putting all the resisters in parallel

Given:

Resistor 1 is 2 ohm

Resistor 2 is 3 ohm

Resistor 3 is 6 ohm

Find:

Highest resistance that can be obtained by them.

Lowest resistance that can be obtained by them.

Circuit which resultant 4.5 ohms

Solution:

As, Highest resistance can be obtained by putting all the resisters in series

Rnet  = R1 + R2 +R3

Rnet  = 2 + 3 + 6 ohm

Rnet  = 11 ohm

As, Lowest resistance can be obtained by putting all the resisters in parallel

1/Rnet = 1/R1 + 1/R2 + 1/R3

1/Rnet = 1/2 + 1/3 + 1/6 ohm

1/Rnet = 3/6 + 2/6 + 1/6 ohm

1/Rnet = (3+2+1)/6 ohm

1/Rnet = 1/1 ohm

Rnet = 1 ohm

We can make the equivalent Resistance as 4.5 ohm by keeping 2 ohm and 6 ohm resistors in parallel and 3 ohm resistor in series with both.

Proof is-

Rnet = (R1×R3/R1+R3) + R2

Rnet = (12/8) + 3 ohm

Rnet = 1.5 + 3 ohm

Rnet = 4.5 ohm

Hence the Highest resistance will be 11 ohm and the least resistance will be 1 ohm and 4.5 ohm resistance can be achieved by putting 6 ohm and 3 ohm resistors in parallel and 3 ohm resistor in series with both of them

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