Three wires of same material having lengths in ratio of 2:3:4 and mass in ratio 3:4:5 are connected in parallel combination across a V volt supply,then the ratio of current flowing through them is __:___:___
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Explanation:
As the conducting wires of the same material and of equal lengths there resistance will be equal, let it be R.
When both are connected in series.
Reqs =R+R =2R ...(i)
When both are connected in parallel.
=
Reqp=R/2...(ii)
Heat is related to resistance by,
H=ReqT
putting value of Req from (i) to find Hs,heat produce in series combination.
Hs=(2R)T..(iii)
putting value of Req from (ii) to find Hp,heat produce in parallel combination.
Hp=(R/2)T...(iv)
Dividing (iii) by (iv)
Hs/Hp=(2R)T/(R/2)T
=4/1
Therefore ratio is 4:1.
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