In the given circuit, it is observed that the current $I$ is independent of the value of the resistance $R_{6}$ . Then the resistance values must satisfy [2001]

Question

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(3)

As the current $R_{6}$ is independent of $R_{6}$ , it follows that the resistances $R_{1}, R_{2}, R_{3}, R_{4}$ and $R_{6}$ must form a balanced Wheatstone bridge.

$∴$ $R_{1} R_{4} = R_{2} R_{3}$

Solution

Q.
In the given circuit, it is observed that the current $I$ is independent of the value of the resistance $R_{6}$ . Then the resistance values must satisfy [2001]

1 $R_{1} R_{2} R_{5} = R_{3} R_{4} R_{6}$

2 $\frac{1}{R_{5}} + \frac{1}{R_{6}} = \frac{1}{R_{1} + R_{2}} + \frac{1}{R_{3} + R_{4}}$

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

4 $R_{1} R_{3} = R_{2} R_{4} = R_{5} R_{6}$

Ans.
(3)

As the current $I$ is independent of $R_{6}$ , it follows that the resistances $R_{1}, R_{2}, R_{3}, R_{4}$ and $R_{6}$ must form a balanced Wheatstone bridge.

$∴$ $R_{1} R_{4} = R_{2} R_{3}$

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Solution

Q. In the given circuit, it is observed that the current I is independent of the value of the resistance R6. Then the resistance values must satisfy [2001]

1 R1R2R5=R3R4R6

2 1R5+1R6=1R1+R2+1R3+R4

3 R1R4=R2R3

4 R1R3=R2R4=R5R6

Ans. (3) As the current I is independent of R6, it follows that the resistances R1, R2, R3, R4 and R6 must form a balanced Wheatstone bridge. ∴ R1R4=R2R3