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  • 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 dissip

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

Option: 1

4


Option: 2

1


Option: 3

2


Option: 4

3


Answers (1)

best_answer

 Case 1 - Power dissipation in the wire initially

                     P_{1} = \frac{V^{2}}{R}

Case 2 - The wire is cut into two equal pieces. Therefore the resistance of the individual wire is \frac{R}{2}

                    P_{2} = \frac{V^{2}}{\frac{R}{4}}

                   P_{2} = \frac{4V^{2}}{R}

            \Rightarrow P_{2} = 4P_{1}

 

Posted by

Pankaj Sanodiya

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