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Here we measure in unknown capacitance in terms of known capacitance and known resistance. Hence, we design a De Sauty Bridge by using two known resistances R 1 and R 4 , one known capacitance C 2 and one unknown capacitance C 3. The device gives the expression of C 3 in terms of R 1 , R 4 , and C 2. For showing the basic construction of a De Sauty Bridge let us draw the circuit diagram of such bridge.

The first arm that is arm AB consists of a pure resistance R 1. The second arm that is arm BC consists of a capacitor of unknown capacitance C 2. Then the third arm that is arm CD consists of a standard capacitor of known capacitance C 3. Forth arm that is BA consists of a pure resistance R 4.

For that, we will draw a generalized AC Bridge circuit. De Sauty Bridge has maximum sensitivity when the value of known capacitance and unknown capacitance are equal. We cannot obtain perfect balancing in this type of bridge if the capacitors suffer from dielectric losses. So we can only obtain the perfect balancing if we use air condensers as the capacitors for the purpose. There is another approach to create the equation for balancing the bridge.

Let us explain that. Suppose the current flowing through the path ABC if i 1. And the Current flowing through the path ADC is i 2. Similarly, the voltage of node D in respect of node A is. At balanced condition there should not be any potential difference between node B and node D.

Hence, we can write,. Similarly, the voltage of node D in respect of node C is. As we told in the previous lines that, the voltage of node B is the same as that of node D.

Now we can write,. By dividing equation i by ii , we get. This is the same expression of unknown capacitance which we have already derived in the previous section of this De Sauty Bridge article. Save my name, email, and website in this browser for the next time I comment. Construction of De Sauty Bridge For showing the basic construction of a De Sauty Bridge let us draw the circuit diagram of such bridge.

Now we know that the balanced condition of the AC Bridge circuit is On comparison of this equation, we write Now, if the value of resistance are equal, then De Sauty Bridge has maximum sensitivity when the value of known capacitance and unknown capacitance are equal.

De Sauty Bridge Circuit So, the voltage of node B in respect of node A is Similarly, the voltage of node D in respect of node A is At balanced condition there should not be any potential difference between node B and node D.

Hence, we can write, Again, the voltage of node B in respect of node C is Similarly, the voltage of node D in respect of node C is As we told in the previous lines that, the voltage of node B is the same as that of node D. Now we can write, By dividing equation i by ii , we get This is the same expression of unknown capacitance which we have already derived in the previous section of this De Sauty Bridge article.

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## Measurement of Capacitance By De Sauty's Bridge

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## De Sauty Bridge Construction Circuit and Theory

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