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What is : (a) the highest (b) the lowest total resistances that can be secured by combinations of four coils of resistances `4 Omega,8 Omega,12 Omega,24 Omega` ? |
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Answer» (a) The highest resistance is secured when all the four coils are connected in series. In that case, `R_s = 4 Omega + 8 Omega + 12 Omega + 24 Omega = 48 Omega` (b) The lowest resistance is secured when all the four coils are connected in parallel. In that case, `(1)/(R_p) = (1)/(4)+(1)/(8)+(1)/(12)+(1)/(24) = (6+3+2+1)/(24) = (12)/(24)`, where `R_p = (24)/(12) Omega = 2 Omega`. |
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