Dissipation factor of a capacitor can be measured with the help of Schering bridge. Schering bridge is a type of AC bridge circuit used to measure the capacitance of a capacitor. Here are the details of how the dissipation factor of a capacitor can be measured with the Schering bridge:

Principle of Schering bridge:
Schering bridge is based on the principle of balancing the unknown capacitive reactance with a known inductive reactance. The bridge is balanced by adjusting the capacitance and inductance of the circuit until the bridge is balanced.

Procedure for measuring the dissipation factor of a capacitor with Schering bridge:

1. Set up the Schering bridge circuit as shown below:


2. Connect the unknown capacitor Cx in the circuit.

3. Set the variable inductor L1 to a known value.

4. Adjust the variable capacitor C1 until the bridge is balanced. At this point, the current through the galvanometer G is zero.

5. Measure the value of the variable capacitor C1 and the variable inductor L1.

6. Repeat the above steps for different values of L1 and C1.

7. Calculate the capacitance of the unknown capacitor Cx using the formula:

Cx = C1 L1 / C2

where C2 is the known capacitance of the standard capacitor.

8. Measure the dissipation factor of the capacitor using the formula:

DF = tan δ = (2πf L1 / R) x (C1/C2)

where f is the frequency of the AC source and R is the resistance of the circuit.

Advantages of Schering bridge:

1. It is a highly accurate method for measuring the capacitance of a capacitor.

2. It is less affected by stray capacitances.

3. It is a simple and easy to use method.

Disadvantages of Schering bridge:

1. It is limited to low capacitance values.

2. It requires an AC source of a fixed frequency.

In conclusion, Schering bridge is a highly accurate and reliable method for measuring the dissipation factor of a capacitor.