Q.

A wire of resistance R is divided in 10 equal parts. These parts are connected in parallel. The equivalent resistance of such connection will be

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a

0.01 R

b

0.1 R

c

10 R

d

100 R

answer is A.

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Detailed Solution

Each part will have a resistance r = R/10Let equivalent resistance be rR. Then1rR =1r +1r +1r ....10 times∴   1rR = 10r =  10R/10 = 100R ⇒ rR=R100=0.01R
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A wire of resistance R is divided in 10 equal parts. These parts are connected in parallel. The equivalent resistance of such connection will be