Light bulb A is rated at 60 W and light bulb B is rated at 100 W. Both are designed to operate at 110 V. Which statement is correct?

Question

Light bulb A is rated at 60 W and light bulb B is rated at 100 W. Both are designed to operate at 110 V. Which statement is correct?

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Kim Cúc 4 years 2021-08-18T22:20:43+00:00 1 Answers 173 views 0

Answers ( )

  1. Calantha
    0
    2021-08-18T22:22:07+00:00
    Reply

    Answer:

    Option 5:

    The 60W bulb has a greater resistance and a lower current than the 100 W bulb.

    Explanation:

    We have to compare the resistance and current of both bulbs.

    Bulb A

    Power = 60 W

    Voltage = 110 V

    Power is given as:

    P = V^2 /R

    where V= voltage and R = resistance

    => 60 = 110^2 / R\\\\R = 201.6 \Omega

    Power is also given as:

    P = IV

    where I = current

    => 60 = I * 110

    I = 60/110 = 0.54 A

    Bulb B

    Power = 100 W

    Voltage = 110 V

    To get resistance:

    100 = 110^2 / R\\\\R = 121 \Omega

    To get current:

    100 = I * 110

    I = 100 / 110

    I = 0.91 A

    Therefore, by comparison, the 60W bulb has a greater resistance and a lower current.

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