A Wheatstone bridge initially has resistances equal to R1 = 200Ω, R2 = 400Ω, R3=500Ω and R4=600Ω. For an input voltage of 5V, determine the output voltage by analysing this condition.
What is the bridge output if R1 changes to 250Ω?

Respuesta :

Answer:

A. Vo = -0.606 volts

B. Vo = -0.349 volts

Explanation:

In this question, we are asked to calculate the output voltage by analyzing the conditions given and also calculate the output voltage given that one of theses conditions changed.

Please check attachment for complete solution.

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Given:  

Initially, the resistance of a cobblestone bridge equals

[tex]R_1 = 200 \ \Omega \\\\ R_2=400 \ \Omega \\\\R_3 = 500 \ \Omega \\\\ R_4 =600\ \Omega \\\\[/tex]

voltage at input

The bridge's output is:

ACB is connected to a 5V supply.

(regular voltage division)

Similarly, at point D, the voltage is

[tex]\to V_D=5 \times \frac{600}{1100}= 2.72 \ v \\\\ \to V_{out}= V_c-V_D = 3.33-2.72 = 0.6\ V = 0.61\ V\\\\[/tex]

for circuit outlined above:

[tex]\to R_1= 250\ \Omega[/tex]

then

[tex]\to V_{RI} = 5\times \frac{250}{250+400}= \frac{2.50\times 5}{250+400}= 1.923\ V\\\\[/tex]

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