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Four resistors 100 Omega,200 Omega,300 O...

Four resistors `100 Omega,200 Omega,300 Omega` and `400 Omega` are connected to form four sides of a square. The resistors can be connected in any order. What is the maximum possible equivalent resistances across the diagonal of the square?

A

`210 Omega`

B

`240 Omega`

C

`300 Omega`

D

`250 Omega`

Text Solution

Verified by Experts

The correct Answer is:
D
The resistances across the diagonal of the square formed by the four resistors is equal to the equivalent resistance of the resistors in parallel combination.

The equivalent resistance of the parallel combination is maximum when the resistance on the two sides of the diagonal are equal.
`therefore` Equivalent resistance,
`R=(500 times500)/(500+500)=250Omega`
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