the resistance of a series combination of three resistance is 8 ohms. find the maximum possible value of equivalent resistance if they are joined in parallel
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Answer:
the answer is the maximum possible value will be 8/9 ohms
Step-by-step explanation:
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Answered by
0
Answer:
Step-by-step explanation:
en that S = nP …………(1)
S = R(1) + R(2) and P = [R(1)*R(2)]/[R(1) + R(2)]
substitute S and P into equation(1)
R(1) + R(2) = n*[R(1)*R(2)]/[R(1) + R(2)]
[R(1) + R(2)]*[R(1) + R(2)] = n*[R(1)*R(2)]
expanding the LHS:
R(1)^2 + R(2)^2+ 2R(1)R(2) = n*[R(1)*R(2)]
devide through by [R(1)*R(2)]. Gives
[R(1)^2 + R(2)^2]/[R(1)*R(2)] + 2 = n
Since the fraction [R(1)^2 + R(2)^2]/[R(1)*R(2)] > 0 Always, it implies that the minimum value of n is 2.
Hence n > or = 2. implies that the minimum value of n is 2
hope it helps
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