Question

The equivalent resistance of the given circuit is 4 ohm. Calculate the value of X?​

Answer 1

Answer:

1/5+x + 1/12=1/4

17+x/60+12x=1/4.

17+x=15+3x

X=1 ohms

@Bblegend

Answer 2

The value of the resistance x is 1Ω.

The equivalent resistance of the given circuit is 4Ω.

We have to calculate the value of x.

Step 1 : Two resistors 5Ω and xΩ are joined in series.

∴ equivalent resistance of these two resistors, R₁ = (5 +  x)Ω

Step 2 : Two resistors 8Ω and 4Ω are also joined in series.

∴ equivalent resistance, R₂ = (8 + 4)Ω = 12Ω

Step 3 : We need to find the equivalent resistance between A and B, so the final equivalent resistance will be the parallel combination of R₁ and R₂.

$R=\frac{R_1R_2}{R_1+R_2}$

Given, the equivalent resistance of the given circuit , R = 4Ω

$\therefore 4=\frac{(5+x)12}{(5+x)+12}\\\\\implies4(17+x)=60+12x\\\\\implies68+4x=60+12x\\\\\implies 8x=8\\\\\implies x=1$

Therefore the value of resistance x is 1Ω.

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