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When some potential differece is maintai...

When some potential differece is maintained between A and B, current I enters the network at A and leaves at B

A

The equivalent resistance between A and B is `8Omega.`

B

C and D are at the same potential.

C

No current flows between C and D.

D

Current `3I//5` flows from D to C.

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
As C and D are joined, they must be at the same potential and
may be treated as the same point. This gives the equivalent
resistance as `8 Omega`. We distribute current in the network using
symmetry.

`V_(A) - V_(D) =V_(A) -V_(C)`
or `20i = 5(I -i)`
or `i = I//5`
`I = 2i = I - (2I)/(5) = (3I)/(5) =` current flowing from D to C.
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Knowledge Check

  • In the circuit shown in fig. some potential difference is applied between A and B. The equivalent resistance between A and B is R.

    A
    No current flows through the `5 Omega` resistor.
    B
    `R = 15 Omega`
    C
    `R = 12.5 Omega`
    D
    `R = (18)/(5)Omega`

  • Figure 7.37 shows a network of three resistances. When some potential difference is applied across the network , thermal powers dissipated by A, B and C are in the ratio

    A
    `2 : 3 : 4`
    B
    `2 : 4 : 3`
    C
    `4 : 2: 3`
    D
    `3 : 2: 4`

  • The equivalent resistance between A and B in the network in fig.,

    A
    `(4)/(3)Omega`
    B
    `(3)/(2)Omega`
    C
    `3 Omega`
    D
    `2 Omega`

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