Question

What is the resistance between the points A and B​

Answer 1

$\large\bf{\underbrace{\red{SOLUTION:-}}}$

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▼ See the attachment picture .

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FORMULA :-

$\checkmark\:\rm{\underline{\purple{\boxed{\dfrac{1}{R_{eq.}}\:=\:\dfrac{1}{R_1}\:+\:\dfrac{1}{R_2}\:+\:\dfrac{1}{R_3}\:+\:\dfrac{1}{R_4}\:}}}}$

☞ Here,

• ${R_1}$ = 4 Ohm

• ${R_2}$ = 2 Ohm

• ${R_3}$ = 2 Ohm

• ${R_4}$ = 4 Ohm

CALCULATION :-

$\large\rm{\implies\:\dfrac{1}{R_{eq.}}\:=\:\dfrac{1}{4}\:+\:\dfrac{1}{2}\:+\:\dfrac{1}{2}\:+\:\dfrac{1}{4}\:}$

$\large\rm{\implies\:\dfrac{1}{R_{eq.}}\:=\:\dfrac{6}{4}\:}$

$\large\rm{\implies\:R_{eq.}\:=\:\dfrac{4}{6}\:}$

$\large\rm{\orange{\boxed{\implies\:R_{eq.}\:=\:\dfrac{2}{3}\:Ohm\:}}}$

$\large\rm{\green{\boxed{\implies\:R_{eq.}\:=\:0.66\:Ohm\:}}}$