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Wednesday, June 29, 2011
Tuesday, June 28, 2011
Method of (Circuit) Analysis
Methods for two or more souces
Branch-current Analysis
Mesh analysis and
Nodal analysis
All the methods will be described for linear bilateral networks only
So resistor is a linear element but diode is not.
Branch-current Analysis
Mesh analysis and
Nodal analysis
All the methods will be described for linear bilateral networks only
- Liner indicates that the characteristics of the of the network elements are independent of voltage across or current through them.
- e. g. Resistor
- A 10kΩ resistor always shows 10kΩ whether the voltage across it is 10V or 100V
So resistor is a linear element but diode is not.
Bilateral: it refers to the fact that there is no change in the behavior or characteristics of an element if the current through or voltage across the element is reversed
Measurement of flow by using flow meter
Introduction: a flow meter or thermal conductivity meter is that kind of meter by which we can measure the quantity of water , liquid , gas , air going through a tube. An air flow meter measure the flow rate of air in the pipe.
Description:
A flow meter or a thermal conductivity meter may be constructed using the following circuit diagram
Operation principle: From the figure we can see that two thermistors RT1 and RT2 are used adjacent to each other. For the flow measurement, one thermistor is sealed in a small cavity copper cylinder and other installed in a small copper pipe. The bridge can be balanced so that the output voltage is zero. When air follows over the thermistor, it temperature decreases and in turn the resistance increases, causing he bridge to be unbalanced. The unbalanced voltage is then amplified by the differential instrumentation amplifier and applied to the meter. Thus the amount of mater deflection is proportional to the flow rate of the air in the pipe.
The equation indicate that the output voltage is directly proportional to the change in resistance ΔR of the transducer. Since the change in resistance is caused by a change in physical energy. A meter connected at the output can be calibrated in terms of the unit of physical energy.
Conclusion:
One potential disadvantage of flow meter occurs when the fluid temperature and pressure deviate from the calibration temperature and pressure. Because temperature and pressure variations will cause a gas to expand and contract, thereby changing density and viscosity, the calibration of a particular variable-area flow meter will no longer be valid as these conditions fluctuate. During operation, the flow meter accuracy can quickly degrade once the temperatures and pressures start fluctuating from the standard calibration temperature and pressure. Meters used for water tend to show less variability, since water viscosity and density changes very little with normal temperature and pressure fluctuations
Description:
A flow meter or a thermal conductivity meter may be constructed using the following circuit diagram
Operation principle: From the figure we can see that two thermistors RT1 and RT2 are used adjacent to each other. For the flow measurement, one thermistor is sealed in a small cavity copper cylinder and other installed in a small copper pipe. The bridge can be balanced so that the output voltage is zero. When air follows over the thermistor, it temperature decreases and in turn the resistance increases, causing he bridge to be unbalanced. The unbalanced voltage is then amplified by the differential instrumentation amplifier and applied to the meter. Thus the amount of mater deflection is proportional to the flow rate of the air in the pipe.
The equation indicate that the output voltage is directly proportional to the change in resistance ΔR of the transducer. Since the change in resistance is caused by a change in physical energy. A meter connected at the output can be calibrated in terms of the unit of physical energy.
Conclusion:
One potential disadvantage of flow meter occurs when the fluid temperature and pressure deviate from the calibration temperature and pressure. Because temperature and pressure variations will cause a gas to expand and contract, thereby changing density and viscosity, the calibration of a particular variable-area flow meter will no longer be valid as these conditions fluctuate. During operation, the flow meter accuracy can quickly degrade once the temperatures and pressures start fluctuating from the standard calibration temperature and pressure. Meters used for water tend to show less variability, since water viscosity and density changes very little with normal temperature and pressure fluctuations
Monday, June 27, 2011
Superposition Theorem
SUPERPOSITION THEOREM
In the network of linear resistance containing more than one generator (or source of e. m. f) ,the current which flows at any point is the sum of all the current which would flow at that point each generators where considered separately and all the other generators replaced for the time being by the resistances equal to their internal resistances
The superposition theorem is unquestionably one of the most powerful in the field . it has such widespread application that people often apply it without recognizing that their maneuvers are valid only because of the theorem .
Use of Superposition Theorem:
•Analyze networks that have two or more sources that are not in series or parallel .
•Reveal the effect of each source on a particular quantity of interest.
•For source of different types apply a separate analysis for each type , with the total result simply the algebraic sum of the results.
THE STATE OF SUPERPOSITION THEOREM
The current through, or voltage across ,any element of a network is equal to the algebraic sum of the currents or voltage produced independent by each source .
How to use