Physics Current Electricity Power, Energy, Battery, EMF, Terminal Voltage, KCL & KVL MCQ (Single Correct)

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-

A
1
B
4
C
2
D
3

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Text Solution

Verified by Experts
The correct answer is:
B

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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