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Arm resistances of Wheatstone bridge R_{1} = 200Omega; R_{2} = 400Omega; R_{3} = 500Omega; R_{4} = 600Omega Input is, E = 5V Find the bridge output voltage .?
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Arm resistances of Wheatstone bridge R_{1} = 200Omega; R_{2} = 400Omeg...
Wheatstone Bridge Calculation
Wheatstone bridge is a circuit used for measuring electrical resistance. It is made up of four resistors arranged in a diamond shape, with a voltage source applied across two opposite corners of the diamond and a meter connected across the other two corners. The Wheatstone bridge is used to determine the value of an unknown resistor by comparing it with a known resistor.
Calculation
In order to calculate the bridge output voltage, we need to determine the voltage across the meter. The voltage across the meter is given by the difference in voltage between the two opposite corners of the diamond.
We can calculate the voltage across the meter by using the following formula:
V_{out} = E * (R_{2}R_{3} - R_{1}R_{4}) / [(R_{1} + R_{2})(R_{3} + R_{4})]
Where,
E = Input voltage
R_{1}, R_{2}, R_{3}, R_{4} = Arm resistances of Wheatstone bridge
V_{out} = Bridge output voltage
Calculation with Given Values
Now, let's substitute the given values in the formula to calculate the bridge output voltage.
E = 5V
R_{1} = 200Omega
R_{2} = 400Omega
R_{3} = 500Omega
R_{4} = 600Omega
V_{out} = 5 * (400*500 - 200*600) / [(200+400)*(500+600)]
V_{out} = 5 * (-20000) / (600*1100)
V_{out} = -0.4545V
Conclusion
Therefore, the bridge output voltage is -0.4545V.
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Arm resistances of Wheatstone bridge R_{1} = 200Omega; R_{2} = 400Omega; R_{3} = 500Omega; R_{4} = 600Omega Input is, E = 5V Find the bridge output voltage .?
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Arm resistances of Wheatstone bridge R_{1} = 200Omega; R_{2} = 400Omega; R_{3} = 500Omega; R_{4} = 600Omega Input is, E = 5V Find the bridge output voltage .? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Arm resistances of Wheatstone bridge R_{1} = 200Omega; R_{2} = 400Omega; R_{3} = 500Omega; R_{4} = 600Omega Input is, E = 5V Find the bridge output voltage .? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arm resistances of Wheatstone bridge R_{1} = 200Omega; R_{2} = 400Omega; R_{3} = 500Omega; R_{4} = 600Omega Input is, E = 5V Find the bridge output voltage .?.
Arm resistances of Wheatstone bridge R_{1} = 200Omega; R_{2} = 400Omega; R_{3} = 500Omega; R_{4} = 600Omega Input is, E = 5V Find the bridge output voltage .? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Arm resistances of Wheatstone bridge R_{1} = 200Omega; R_{2} = 400Omega; R_{3} = 500Omega; R_{4} = 600Omega Input is, E = 5V Find the bridge output voltage .? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arm resistances of Wheatstone bridge R_{1} = 200Omega; R_{2} = 400Omega; R_{3} = 500Omega; R_{4} = 600Omega Input is, E = 5V Find the bridge output voltage .?.
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