If the Wheatstone's bridge with four resistors R 1, R 2, R 3, R 4 is balanced then the collect expression is

Question

If the Wheatstone's bridge with four resistors R 1, R 2, R 3, R 4 is balanced then the collect expression is <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/1eb4e8fb4c4fd25d9a7a7adeb1de88b3-.png" /> (A) (R2/R1)=(R4/R3) (B) (R2/R3)=(R1/R4) (C) R1 R2=R3 R4 (D) R1+R2=R3+R4

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/1eb4e8fb4c4fd25d9a7a7adeb1de88b3-.png" /> For balance condition of Wheatstone bridge, (R2/R4)=(R1/R3) or (R2/R1)=(R4/R3)

Q. If the Wheatstone's bridge with four resistors $R_{1}, R_{2}, R_{3}, R_{4}$ is balanced then the collect expression is

$\frac{R _{2}}{R _{1}} = \frac{R _{4}}{R _{3}}$

$\frac{R _{2}}{R _{3}} = \frac{R _{1}}{R _{4}}$

$R_{1} R_{2} = R_{3} R_{4}$

$R_{1} + R_{2} = R_{3} + R_{4}$

For balance condition of Wheatstone bridge,
$\frac{R _{2}}{R _{4}} = \frac{R _{1}}{R _{3}}$
or $\frac{R _{2}}{R _{1}} = \frac{R _{4}}{R _{3}}$

Q. If the Wheatstone's bridge with four resistors R1​,R2​,R3​,R4​ is balanced then the collect expression is

R1​R2​​=R3​R4​​

R3​R2​​=R4​R1​​

R1​R2​=R3​R4​

R1​+R2​=R3​+R4​