An unknown resistance is placed in the left gap and resistance of 50 o

1.	An unknown resistance is placed in the left gap and resistance of 50 ohms is placed in the right gap of a meter bridge. The null point is obtained at 40 cm from the left end. Determine the unknown resistance.
Answer» Data : R =50 C in the right gap, l_x= 40 cm Now, l_R = 100 – l_X = 100 – 40 = 60 cm ∴ \(\cfrac X{50}\) = \(\cfrac{40}{60}\) ∴ X = 50 × \(\cfrac23\) = \(\cfrac{100}3\) = 33.33 Ω This is the unknown resistance. X/40=50/60 X=100/3 Answer -: 33.33 ohm

An unknown resistance is placed in the left gap and resistance of 50 ohms is placed in the right gap of a meter bridge. The null point is obtained at 40 cm from the left end. Determine the unknown resistance.

Answer»

Data : R =50 C in the right gap, l_x= 40 cm

Now, l_R = 100 – l_X = 100 – 40 = 60 cm

∴ \(\cfrac X{50}\) = \(\cfrac{40}{60}\)

∴ X = 50 × \(\cfrac23\) = \(\cfrac{100}3\) = 33.33 Ω

This is the unknown resistance.

X/40=50/60

X=100/3

Answer -: 33.33 ohm