Judge the equivalent resistance when the following are connected in parallel :
a) 1 ohm and 106 b) 1 ohm and 1000 ohm
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a) 106×1/(106+1) = 106/107 = 0.9906 Ω
b) (1000×1)/1000+1 = 1000/1001 = 0.999 Ω
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a) 1/R = 1 + 1/106
=> 1/R = 107/106
=> R = 106/107 ohm
b) 1/R = 1 + 1/1000
=> 1/R = 1001/1000
=> R = 1000/1001 ohm
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