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Assertion : The effective resistance of ...

Assertion : The effective resistance of the network between `P` and `Q` is `(4)/(5)r`

Reason : Symmetry can be applied to the network with respect to center

A

both assertion and reason are true and the reason is Assertion and Reason explanation of the Assertion

B

both assertion and reason are true and the reason is Assertion and the correct explanation of the Assertion

C

Assertion is true , but the reason is false

D

both assertion and reason are false

Text Solution

Verified by Experts

The correct Answer is:
d
The equivalent circuit is a and b

`(1)/(R_(PQ)) = (1)/(r ) + (1)/(2r) + (3)/(8r) = (15)/(8r)`
or `R_(PQ) = (8r)/(15)`
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Knowledge Check

  • Assertion (A) The effective resistance of the network between P and Q is (4)/(5) r. Reason (R ) Symmetry can be applied to be network with respect to centre.

    A
    If both Assertion and Reason are true and Reason is correct explanation of Assertion.
    B
    If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
    C
    If Assertion is true but Reason is false.
    D
    If both Assertion and Reason are false.

  • The effective resistance between P and Q in the given circuit is

    A
    `(3r)/(2)`
    B
    `3r`
    C
    `2r`
    D
    `(r )/(2)`

  • The effective resistance between p and q in given figure is

    A
    `2omega`
    B
    `3omega`
    C
    `5omega`
    D
    `6omega`