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Judge the equivalent resistance when the following are connected in parallel – (a) \(1\ Ω\) and \(10^{6}\ Ω\), (b) \(1\ Ω\) and \(10^{3}\ Ω\), and \(10^{6}\ Ω\).
 
a. The equivalent resistance when \(1\ Ω\) and \(10^{6}\ Ω\) connected in parallel is given by
 
1R=ii+iiiR=iΩ
 
b. The equivalent resistance when \(1\ Ω\), \(10^{3}\ Ω\) and \(10^{6}\ Ω\) connected in parallel is given by
 
[NOTE: Enter the answer up to three decimal places.]
 
1R=ii+iii+iiiR=iΩ