For the potentiometer arrangement shown in the figure- length of wire AB is 100 cm and its resistance is 9 - The length AC for which the galvanometer G will show zero deflection isA- 50 cmB- 33-3 cmC- 60 cmD- 66-7 cm

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Standard XII

Physics

Potentiometer

For the poten...

Question

For the potentiometer arrangement shown in the figure, length of wire AB is 100 cm and its resistance is $9 Ω$ . The length AC for which the galvanometer G will show zero deflection is

66.7 cm

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60 cm

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50 cm

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33.3 cm

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Solution

The correct option is A 66.7 cm
Potential difference across AC is zero as
$I_{A C} = 0$
5 – 2l = 0
I = 2.5 A
Let the resistance of part BC be r
Applying KVL
10 + 5 – 2l – lr – l = 0
2.5r = 7.5 $\Rightarrow r = 3 Ω$
As resistance of part AB = $9 Ω$
$∴$ length AC = 66.7 cm

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For the potentiometer arrangement shown in the figure, length of wire AB is 100 cm and its resistance is 9Ω. The length AC for which the galvanometer G will show zero deflection is

The correct option is A 66.7 cmPotential difference across AC is zero as IAC=0 5 – 2l = 0 I = 2.5 A Let the resistance of part BC be r Applying KVL 10 + 5 – 2l – lr – l = 0 2.5r = 7.5 ⇒ r=3Ω As resistance of part AB = 9Ω ∴ length AC = 66.7 cm

For the potentiometer arrangement shown in the figure, length of wire AB is 100 cm and its resistance is $9 Ω$ . The length AC for which the galvanometer G will show zero deflection is

The correct option is A 66.7 cm
Potential difference across AC is zero as
$I_{A C} = 0$
5 – 2l = 0
I = 2.5 A
Let the resistance of part BC be r
Applying KVL
10 + 5 – 2l – lr – l = 0
2.5r = 7.5 $\Rightarrow r = 3 Ω$
As resistance of part AB = $9 Ω$
$∴$ length AC = 66.7 cm