A power of 100 W is delivered to a certain resistor when the applied voltage is 100 V. Find the resistance. Suppose that the voltage is reduced by 10% to 90 V. By what percentag…

Question

asked Dec 13, 2021 140k views

1 Answer

McAngus · Answer 1 · 2021-12-17T11:08:16+0000

Answer:

Step-by-step explanation:

The formula for power is given as

P=(V^2)/(R)

Given data

power= 100 W

voltage= 100 V

Substituting into the power formula the resistance is

$100=(100^2)/(R) \\\\100*R=10000\\\\R= (10000)/(100) \\\\R= 100 ohms$

The resistance is 100 ohms

Now the power has been reduced by 10% (from 100 to 90V)

the power is

$P= (90^2)/(100) \\\\P= (8100)/(100) \\\\P= 81 watts$

The power has reduced 19% from 100 watt to 81 watt