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The Wien’s bridges are suitable for the measurement of the frequency of the range of
- a)Less than 100 Hz
- b)100 Hz to 100 kHz
- c)1 kHz to 100 MHz
- d)More than 100 MHz
Correct answer is option 'B'. Can you explain this answer?
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The Wien’s bridges are suitable for the measurement of the frequency ...
Wien's bridge is suitable for measuring frequencies from 100 Hz to 100 kHz. It is possible to obtain an accuracy of 0.1 to 0.5 percent. Because of its frequency sensitivity, the Wien's bridge may be challenging to balance unless the applied voltage waveform is sinusoidal.
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The Wien’s bridges are suitable for the measurement of the frequency ...
The Wien's Bridge
The Wien's bridge is a type of AC bridge circuit used to measure the frequency of an unknown signal. It was developed by Max Wien, a German physicist, in the late 19th century. The bridge circuit consists of resistors, capacitors, and an adjustable frequency oscillator.
Frequency Measurement Range
The Wien's bridge is specifically designed for measuring frequencies within a certain range. Among the given options, option 'B' (100 Hz to 100 kHz) is the correct answer. Let's understand why.
Wien's Bridge Circuit Operation
The Wien's bridge uses a combination of resistors and capacitors to create a balanced condition at a specific frequency. When the bridge is balanced, the output voltage becomes zero. By varying the frequency of the oscillator, the bridge can be balanced at different frequencies.
Frequency Range Determination
The frequency range that the Wien's bridge can accurately measure depends on the values of the resistors and capacitors used in the circuit. In the case of the Wien's bridge, the frequency range is determined by the relationship between the resistors and capacitors.
The Wien's Bridge Equation
The balance condition of the Wien's bridge is given by the equation:
f = 1 / (2 * π * R * C)
Where:
- f is the frequency of the balanced condition
- R is the resistance in the bridge circuit
- C is the capacitance in the bridge circuit
From this equation, it can be seen that the frequency is inversely proportional to the product of the resistance and capacitance. Therefore, to increase the frequency range, either the resistance or capacitance needs to be increased.
Frequency Range Limitations
In practical implementations of the Wien's bridge, there are limitations on the maximum and minimum values of resistance and capacitance that can be used. These limitations are determined by various factors such as the availability of components, stability of the circuit, and the desired accuracy of the measurement.
Conclusion
In summary, the Wien's bridge is suitable for measuring frequencies in the range of 100 Hz to 100 kHz. This is determined by the relationship between the resistors and capacitors used in the bridge circuit. The Wien's bridge equation shows that the frequency range is inversely proportional to the product of the resistance and capacitance. However, there are practical limitations on the values of resistance and capacitance that can be used, which affect the frequency range.
The Wien's bridge is a type of AC bridge circuit used to measure the frequency of an unknown signal. It was developed by Max Wien, a German physicist, in the late 19th century. The bridge circuit consists of resistors, capacitors, and an adjustable frequency oscillator.
Frequency Measurement Range
The Wien's bridge is specifically designed for measuring frequencies within a certain range. Among the given options, option 'B' (100 Hz to 100 kHz) is the correct answer. Let's understand why.
Wien's Bridge Circuit Operation
The Wien's bridge uses a combination of resistors and capacitors to create a balanced condition at a specific frequency. When the bridge is balanced, the output voltage becomes zero. By varying the frequency of the oscillator, the bridge can be balanced at different frequencies.
Frequency Range Determination
The frequency range that the Wien's bridge can accurately measure depends on the values of the resistors and capacitors used in the circuit. In the case of the Wien's bridge, the frequency range is determined by the relationship between the resistors and capacitors.
The Wien's Bridge Equation
The balance condition of the Wien's bridge is given by the equation:
f = 1 / (2 * π * R * C)
Where:
- f is the frequency of the balanced condition
- R is the resistance in the bridge circuit
- C is the capacitance in the bridge circuit
From this equation, it can be seen that the frequency is inversely proportional to the product of the resistance and capacitance. Therefore, to increase the frequency range, either the resistance or capacitance needs to be increased.
Frequency Range Limitations
In practical implementations of the Wien's bridge, there are limitations on the maximum and minimum values of resistance and capacitance that can be used. These limitations are determined by various factors such as the availability of components, stability of the circuit, and the desired accuracy of the measurement.
Conclusion
In summary, the Wien's bridge is suitable for measuring frequencies in the range of 100 Hz to 100 kHz. This is determined by the relationship between the resistors and capacitors used in the bridge circuit. The Wien's bridge equation shows that the frequency range is inversely proportional to the product of the resistance and capacitance. However, there are practical limitations on the values of resistance and capacitance that can be used, which affect the frequency range.
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The Wien’s bridges are suitable for the measurement of the frequency of the range ofa)Less than 100 Hzb)100 Hz to 100 kHzc)1 kHz to 100 MHzd)More than 100 MHzCorrect answer is option 'B'. Can you explain this answer?
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The Wien’s bridges are suitable for the measurement of the frequency of the range ofa)Less than 100 Hzb)100 Hz to 100 kHzc)1 kHz to 100 MHzd)More than 100 MHzCorrect answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The Wien’s bridges are suitable for the measurement of the frequency of the range ofa)Less than 100 Hzb)100 Hz to 100 kHzc)1 kHz to 100 MHzd)More than 100 MHzCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Wien’s bridges are suitable for the measurement of the frequency of the range ofa)Less than 100 Hzb)100 Hz to 100 kHzc)1 kHz to 100 MHzd)More than 100 MHzCorrect answer is option 'B'. Can you explain this answer?.
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