Question

A bulb is first conccted across a 10 V DC supply and then a 20V cup uply.The ratio of power dissipated in the two cases will be (resistance is constant) 1:2 1:4 4:3​

Answer 1

Answer:

Correct OPTIONS is

2 = 1:4

Answer 2

Given : A bulb is first connected across a 10 V DC supply and then a 20V supply.

(resistance is constant)

To Find : The ratio of power dissipated in the two cases will be

Solution:

For give Voltage and resistance

Power dissipated can be calculated as

P = V²/R   (∵ P = VI    and I = V/ R  => P = V²/R )

Case 1  

V = 10 V

R = R

P₁ = 10²/R

=> P₁ = 100/R

Case 2  

V = 20 V

R = R

P₂ = 20²/R

=> P₂ = 400/R

ratio of power dissipated in the two cases

P₁  : P₂  = 100/R : 400/R

=>  P₁  : P₂  = 1 : 4

ratio of power dissipated in the two cases is  1 : 4

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