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24 June, 21:06

A circuit connected to a 12V battery has three 50 Ohm resistors with two connected in series, and parallel to the third. Calculate the total resistance and current.

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  1. 24 June, 21:17
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    Total resistance=33.3 ohms

    Current=0.36 amperes

    Explanation:

    Voltage=12v

    R1=50 ohms

    R2=50 ohms

    R3=50 ohms

    Two connected in series:

    R1+R2=50+50=100 ohms

    In parallel

    1/R=1/50 + 1/100

    1/R = (2+1) / 100

    1/R=3/100

    Cross multiplying we get

    100=3R

    Divide both sides by3

    100/3=3R/3

    33.3=R

    Total resistance=33.3 ohms

    Current=voltage ➗ resistance

    Current=12 ➗ 33.3

    Current=0.36 amperes
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