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
Answer:
For Highest Resistance Combine Those three resisters in Series.
And
For Least Resistance Combine them in Parallel Combination .
Please Mark Brainliest
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
#SPJ3