Question

An electric heating element consumes 500 w when connected to 100 volt line of the line voltage becomes 150v the power consumed will be

Answer 1

Answer:

1125 W

Explanation:

P = V^2/R

500w = 100*100/R

500w= 10000/R

R= 20

By substituting,

P= 150*150/20

=22500/20

We get 1125 W

Answer 2

Given:

• Power of 500 Watt output when voltage is 100 V.

To find:

• Power output when voltage is 150 V ?

Calculation:

First of all, we need to calculate the resistance of the electric heating element :

$W = \dfrac{{V}^{2} }{r}$

$\implies r = \dfrac{{V}^{2} }{W}$

$\implies r = \dfrac{100 \times 100 }{500}$

$\implies r = 20 \: ohm$

Now, when voltage is 150 V , the power output will be :

$W = \dfrac{{V}^{2} }{r}$

$\implies \: W = \dfrac{{150}^{2} }{20}$

$\implies \: W = 1125 \: watt$

So, power output will be 1125 Watts.