two conducting wires of the same material and of equal lengths resistance and resistivity having ratio 1:2. Their diameter will be
1:2 1:4 4:1 1:√2
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Heat produced in the circuit is inversely proportional to the resistance R.
Let RS be the equivalent resistances of the wires if connected in series and RP be the equivalent resistances of the wires if connected in parallel
Then RS =R+R=2R
And1/ RP = 1/R +1/R
1/ RP = 2/R
Or RP =R/2
Now the ratio of heat produced is given by
= 1/4
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