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Find the effective resistance between th...

Find the effective resistance between the points A and B in figure.

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The resistors AF and FE are in series. Their equivalemt resistance is `3(Omega)+3(Omega)=6(Omega).`this is connected din parallel with AE. Their equivalent between A and E is , therefore.
`(6(Omega)xx6(Omega))/(6(Omega)+6(Omega))=3(Omega)`
This 3(Omega) resistance between A and E is in series with ED and the combination is in parallel with AD. Their equivalent is between A and D is again `3(Omega)`
Similarly the equivalent of this `3(Omega),DC and AC is `3(Omega)`. This `3Omega `is in series with CB and the combination is in parallel with AB. The equivalent resistance between A and B is , Therefore,
`(6(Omega)xx3(Omega))/(6(Omega)+3(Omega))=2(Omega).`
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Knowledge Check

  • The effective resistance between the points A and B in the figure is

    A
    `5 Omega`
    B
    `2 Omega`
    C
    `3 Omega`
    D
    `4 Omega`
  • The effective resistance between points A and B is

    A
    `60 Omega`
    B
    `40 Omega`
    C
    `20 Omega`
    D
    `10 Omega`
  • The effective resistance between points A and B is

    A
    `60Omega`
    B
    `40Omega`
    C
    `20Omega`
    D
    `10Omega`
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