Question

for what value of resistor x will be the equivalent resistance of two circuit shown to be the same ​

Answer 1

Answer:

wow good question and suprising

Answer 2

Answer:

The value of resistance X is 2R.

Explanation:

Separate the two circuits with an imaginary line.

Clearly, both circuits are different after sections AB and CD.

So, resistances of two circuits are same, if

RAB=RCD

So, R + X = R + ( (6R (R + X) ) / (6R + R + X) )

⇒X = 7R + X6R (R+X)

⇒7RX + X^2 = 6X^2 + 6RX

⇒X^2 + RX − 6R^2 = 0

we know the formula,

X = (-b ± (b^2-4ac)^1/2) / 2a

⇒X = (−R ± R2−4 (1) (−6R2) ) / 2 (1)

X = (−R ± (25R^2)^1/2) / 2

or X = − R ± 5R / 2

∴ X=2R

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