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The equivalent resistance of a series co...

The equivalent resistance of a series combination of two resistances is X ohm. If the resistance are of 10 ohm and 40 ohm respectively, the value of X will be

A

4

B

6

C

8

D

12

Text Solution

Verified by Experts

The correct Answer is:
B
Two resistance are in ratio `1:2` and third resistance is R.
So, `1/x +1/(2x) + 1/R = 1 rArr x = 3/2(R/(R-1))`
As resistance is not fractional `rArr R/(R-1) = 2`
`rArr x = 3, R =2, 2x = 6`
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