Effective resistance between point A and B for following network is-(each branch of resistance is R )

Question

Effective resistance between point A and B for following network is-(each branch of resistance is R ) <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-2w00zpe7c6gymvq6.jpg" /> (A) (5/3)R (B) (3/5)R (C) R (D) (R/2)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-2w00zpe7c6gysnez.jpg" /> RAB=((3 R/2) R/(3 R)2 + R) RAB=(3 R/5)

Q. Effective resistance between point $A$ and $B$ for following network is-(each branch of resistance is $R$ )

$\frac{5}{3} R$

$\frac{3}{5} R$

$R$

$\frac{R}{2}$

$R_{A B} = \frac{\frac{3 R}{2} R}{\frac{3 R}{2} + R}$
$R_{A B} = \frac{3 R}{5}$

Q. Effective resistance between point A and B for following network is-(each branch of resistance is R )

35​R

53​R

R

2R​

RAB​=23R​+R23R​R​ RAB​=53R​

Q. Effective resistance between point $A$ and $B$ for following network is-(each branch of resistance is $R$ )

$\frac{5}{3} R$

$\frac{3}{5} R$

$R$

$\frac{R}{2}$

$R_{A B} = \frac{\frac{3 R}{2} R}{\frac{3 R}{2} + R}$
$R_{A B} = \frac{3 R}{5}$