First slide

Electrical power

Question

A wire when connected to 220 V mains supply has power dissipation P₁. Now the wire is cut into two equal pieces which are connected in parallel to the same supply. power dissipation in this case is P₂. Then P₂ : P₁ is

Easy

A

1
B

4
C

2
D

3

Solution

When wire is cut into two equal parts, then power dissipated by each part is 2P₁
So their parallel combination will dissipate power
P₂ = 2P₁ + 2P₁ = 4P₁
Which gives $\frac{P_{2}}{P_{1}} = 4$

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