The potentiometer wire AB shown in figure (32 - E27) is 50 cm long. When AD = 30 cm, no deflection occurs in the galvanometer. Find R

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Solution

Resistance of 30 meter length = 30 r

Resistance of 20 meter length = 20 r

$\Rightarrow 30 r = 20 \times 6$

$\Rightarrow r = 4 Ω$

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The potentiometer wire AB shown in figure (32 - E27) is 50 cm long. When AD = 30 cm, no deflection occurs in the galvanometer. Find R

Resistance of 30 meter length = 30 r Resistance of 20 meter length = 20 r ⇒30r=20×6 ⇒r=4Ω

Resistance of 30 meter length = 30 r

Resistance of 20 meter length = 20 r

$\Rightarrow 30 r = 20 \times 6$

$\Rightarrow r = 4 Ω$