A 75-W and a 50-W incandescent light bulbs are designed for use with the same voltage. What is the ratio of the resistance of the 75-W bulb to the resistance of the 50-W bulb

According to the question,

Rating of two incandescent lights,

Power consumed,

Now the resistance,

When P = 75 W,

→

When P = 50 W,

→

hence,

The ratio of resistance will be:

=

=

=

=

Thus the answer above is right.

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The ratio is 0.667.

Explanation:

We are given two incandescent lights which have ratings of 75 W and 50 W .

Both bulbs operate at the same voltage.

The equation of power consumed is given by P =

Therefore the resistance for the 75 W bulb  =

Therefore the resistance for the 50 W bulb  =

Therefore the ratio of the resistance for the 75 W bulb to the resistance of the 50 W bulb is equal to

=   = = 0.667.

The ratio is 0.667.

when a device is used in a circuit in which the voltage is 81 v, the current flowing through the device is 3 a. what is the resistance of the device?

a. 27 ω

b. 40.5 a

c. 243 ω

d. 243 a

the correct answer is a. 27