Question

an electric heating element consumes 300w when connected to a 100v line.if the line voltage becomes 150v,the power consumed will be​

Answer 1

Answer:

Explanation:

Using the formulla Power=V^2/R

Given power=300 w voltage =100v then

R=100×100/300=100/3

Now

R=100/3 V=150 p=?

P=V^2/R

=150×150/100/3=225×3=685 w

Answer 2

Hence, the power consumed when the line voltage becomes 150 V is 675 W

Given: An electric heating element consumes 300 W when connected to a 100 V line

To Find: Power consumed by the heating element when connected to a 150 V line

Solution:

We can solve the question using the formula,

P = V² / R     , where P = power consumed, V = voltage , R = resistance

Now, since the heating element is not changed therefore the resistance remains constant.

So, we can say that

P ∝ V²                                                          ... (1)

let P1 = 300 W , V1 = 150 V , V2 = 100 V and P2 = ?

Thus, from (1),

( P1 / P2 ) = ( V1 / V2 )²

⇒ ( 300 / P2 ) = (100 / 150)²

⇒ P2 = 675 W

Hence, the power consumed when the line voltage becomes 150 V is 675 W

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