Given three 30 ohm resistances. How would you connect them to give a total of 90 ohm, 10 ohm, 20 ohm and 45 ohm resistances?
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• all three resistance in series connection
R = 30+30+30 =90
R = 90 ohm
• all three resistance in parallel connection
1/R = 1/30+1/30+1/30
1/R = 3/30 = 1/10
R = 10 ohm
• two in series and one in parallel connection
R1 (in series) = 30+30 = 60
R2 = 30
1/R = 1/R1 + 1/R2
1/R = 1/60+1/30
1/R = (1+2)/60
1/R = 3/60
R = 60/3
R = 20 ohm
• two in parallel and one in series connection
1/R1(in parallel) = 1/30+1/30 = 2/30 = 1/15
R1 = 15
R2 = 30
R = R1+ R2
R = 15+30
R = 45 ohm
hope it helps you :)
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