In balanced metre bridge, the resistance of bridge wire is 0.1Ω/ cm. Unknown resistance ‘X’ is connected in left gap and 6Ω in right gap, null point divides the wire in the ratio 2: 3. Find the current drawn from the battery of 5 V having negligible resistance.

Question

In balanced metre bridge, the resistance of bridge wire is 0.1Ω/ cm. Unknown resistance ‘X’ is connected in left gap and 6Ω in right gap, null point divides the wire in the ratio 2: 3. Find the current drawn from the battery of 5 V having negligible resistance. (A) 1 A (B) 1.5 A (C) 2 A (D) 5 A

Tardigrade Admin · Accepted Answer

Resistance of meter bridge =100 × 0.1=10 Ω (x/6)=(2/3) arrow x=4 Ω (1/Rt)=(1/6+4)+(1/10) arrow RT=5 I=(V/RT)=(5/5)=1 A

Q. In balanced metre bridge, the resistance of bridge wire is $0.1Ω/ c m$ . Unknown resistance ‘ $X$ ’ is connected in left gap and $6Ω$ in right gap, null point divides the wire in the ratio $2 : 3$ . Find the current drawn from the battery of $5 V$ having negligible resistance.

$1 A$

$1.5 A$

$2 A$

$5 A$

Resistance of meter bridge $= 100 \times 0.1 = 10 Ω$
$\frac{x}{6} = \frac{2}{3} \to x = 4Ω$
$\frac{1}{R _{t}} = \frac{1}{6 + 4} + \frac{1}{10} \to R_{T} = 5$
$I = \frac{V}{R _{T}} = \frac{5}{5} = 1 A$

Q. In balanced metre bridge, the resistance of bridge wire is 0.1Ω/cm. Unknown resistance ‘X’ is connected in left gap and 6Ω in right gap, null point divides the wire in the ratio 2:3. Find the current drawn from the battery of 5V having negligible resistance.

1A

1.5A

2A

5A