Question

Please calculate the equivalent resistance

Answer 1

hey buddy, ✌

sry guys, I did mistake here.

1/R = 10/12
R = 0.833 ohms

Answer 2

$\bold{To \: find \:equivalenta\: resistance \: from P \: to Q}$

If the current will be passed from point P, it will be divided into three parallel parts.

◼For $\bold{R_1 and R_4}$

Resistor $\bold{R_1 and R_4}$ are in series.

And for a series combination

$\huge \boxed{R = R_1 + R_4}$

${R_{1 4}= 6 + 4}$

$\bold{R_{1 4}= 10\: ohm}$

For $\bold{R_2 and R_3}$

◼Resistor $\bold{R_2 and R_3}$ are in series.

And for a series combination

$\huge \boxed{R = R_2+ R_3}$

${R_{2 3}= 7 + 3}$

$\bold{R_{2 3}= 10 ohm}$

Since, $\bold {R_{5},R_{2 3} \: and \:R_{1 4}}$ are in parallel,

And for a parallel combination ,

$\huge \boxed{ \frac{1}{R} = \dfrac{1}{R_5} + \dfrac{1}{R_{2 3}} + \dfrac{1}{R_{1 4}}}$

$\frac{1}{R} =\frac{1}{1} + \frac{1}{10} + \frac{1}{R_{10}}$

$\frac{1}{R} =\frac{10}{10} + \frac{1}{10} + \frac{1}{R_{10}}$

$\frac{1}{R} =\dfrac{10 +1 +1}{10}$

$\frac{1}{R} =\dfrac{12}{10}$

$R =\dfrac{10}{12}$

$R =0.833 \: ohm$

Hence the total resistance of circuit is $\bold{0.833} ohm$