The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor. The current is 6 amperes when the resist

Question

The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor. The current is 6 amperes when the resistance is 722 ohms. What is the current when the resistance is 768 ohms? Round your answer to two decimal places if necessary.

a.
5.6 amps
b.
0.16 amps
c.
6.4 amps
d.
0.18 amps

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Serenity 1 week 2021-11-25T02:47:58+00:00 2 Answers 0

Answers ( )

    0
    2021-11-25T02:49:03+00:00

    Answer:

    The correct answer is A on edg.

    Step-by-step explanation:

    Just took the test, and got it right.

    0
    2021-11-25T02:49:57+00:00

    Answer:

    Hence, the correct answer is:

                 Option : a

                 a.   5.6 amps

    Step-by-step explanation:

    It is given that:

    The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor.

    This means that:

    I\propto \dfrac{1}{R}

    Hence, we get the relation as:

    \dfrac{I_1}{I_2}=\dfrac{R_2}{R_1}

    where R_1 is the resistance corresponding to the current I_1

    and  R_2 is the resistance corresponding to the current I_2

    We have:

    I_1=6\ ,\ R_1=722\ ,\ R_2=768

    Hence, we get:

     \dfrac{6}{I_2}=\dfrac{768}{722}\\\\\\i.e.\\\\\\I_2=\dfrac{722\times 6}{768}\\\\\\I_2=5.6406\ amperes

            Hence, the answer is:

                 Option : a

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