A wire when connected to 220 V mains supply has power dissipation P 1 . Now the wire is cut into two equal pieces which are connected in parallel to the same supply. Power dissipation in this case is P 2 . Then P 2 : P 1 is-
Text Solution
Verified by ExpertsB
Using the formula P =
...(i)
Where R is resistance of wire, V is voltage across wire and P is power dissipation in wire and
R =
...(ii)
From Eqs. (i) and (ii)
P 1 =
=
. A
P 1 =
. A ...(iii)
In 2nd case
Let R 2 is net resistance.
R 2 =
= 
Where, R is the resistance of half wire.
∴ R 2 =
= 
∴ P 2 =
. 4A ... (iv)
Hence, from Eqs. (iii) and (iv)
= 
= 
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