Lam asked in 科學及數學其他 - 科學 · 7 years ago

resistance

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i) find the equivalent resistance at the end of e and f

ii)find the equivalent resistance at the end of d and f

1 Answer

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  • 天同
    Lv 7
    7 years ago
    Favorite Answer

    (i) Consider the loop abcd, we have two 1-ohm resistors in series and then parallel with another 1-ohm resistor.

    Equivalent resistance = 1x2/(1+2) ohms = 2/3 ohm = 0.6667 ohm

    Hence, in loop ecdf, equivalent resistance = (1 + 0.6667 + 1) ohms = 2.6667 ohms

    Final equivalent resistance at ef = 2.6667 x 1/(2.6667+1) ohm = 0.727 ohm

    (ii) The circuit is similar to the one in (i)

    Equivalent resistance between cd = 1x2/(1+2) ohm = 0.6667 ohms

    Equivalent resistance between dcef = (0.6667 + 1 + 1) ohms = 2.6667 ohms

    Total equivalent resistance between df = 1 x 2.6667/(1+2.6667) ohm = 0.727 ohm

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