Question

When an unknown resistance RxRx is placed in a Wheatstone bridge, it is possible to balance the bridge by adjusting R3R3 to be 2500ΩΩ. What is RxRx if R2R1=0.625R2R1=0.625?

Answer 1

Rₓ = 1562.5 Ω

Step-by-step explanation:

The formula for the wheat stone bridge in balanced condition is given as follows:

R₁/R₂ = R₃/Rₓ

where,

Rₓ = Unknown Resistance = ?

R₃ = 2500 Ω

R₂/R₁ = 0.625

R₁/R₂ = 1/0.625 = 1.6

Therefore,

1.6 = 2500 Ω/Rₓ

Rₓ = 2500 Ω/1.6

Rₓ = 1562.5 Ω