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In the netwrok shown in fig. each resist...

In the netwrok shown in fig. each resistance is R.

The equivalent resistance between A and G is

A

`(3R)/(4)`

B

`(5R)/(6)`

C

`(7R)/(12)`

D

`(4R)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B

If we connect a battery across A and
B, then E and D will be at the same
potential and F and C will be at the
same potential.

`R_(eq)(AB) = (7R)/(12)`
If we connect the battery across A
and G, the B, E, and D will be at
the same potential. C,F, and H will
be at the same potential.

If we connect the battery across A and C, then no current will flow in
the resistances between B and F and between H and D. So they can
be removed. Thus,
`R_(eq) = (3R)/(4)`
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Knowledge Check

  • In the netwrok shown in fig. each resistance is R. The equivalent resistance between A and C is

    A
    `(3R)/(4)`
    B
    `(5R)/(6)`
    C
    `(7R)/(12)`
    D
    `(4R)/(3)`
  • In the netwrok shown in fig. each resistance is R. The equivalent resistance between A and B is

    A
    `(3R)/(4)`
    B
    `(5R)/(6)`
    C
    `(7R)/(12)`
    D
    `(4R)/(3)`
  • Equivalent resistance between A and B in Fig. is

    A
    8r/7
    B
    7r/8
    C
    3r/4
    D
    r
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