Experiment to determine galvanometer resistance using the half deflection method in the apparatus theory and the viva half deflection method.

 

Apparatus

A low-resistance galvanometer, a cell, two resistance boxes, two one-way plug keys, connecting wires, and sandpaper are required. These items are used to perform the Resistance of a galvanometer by half half-deflection method.

Half deflection method setup for galvanometer

 

 

 

 

 

 

Theory

Set up the circuit as shown in the diagram. When only key K₁ is closed, the galvanometer current is:

I = E / (G + R)

Where:

  • G = resistance of the galvanometer

  • E = e.m.f. of the cell

Since the deflection is proportional to the current, you can determine G using the half deflection method. Compare the deflection with and without a shunt to calculate resistance accurately.

Procedure

  1. Draw a neat and labeled circuit diagram. Ensure all connections are tight. Keep both keys K₁ and K₂ open.

  2. Remove a plug from the resistance box R to set a high resistance. Then, close K₁. Adjust the resistance to obtain a large deflection. Always note even divisions. Record the deflection and R.

  3. Close key K₂. The deflection decreases. Adjust shunt resistance S until the deflection becomes exactly half of the previous one. This step follows the half-deflection method principle. Record S.

  4. Repeat the experiment for at least four deflection values. Doing so ensures consistent and reliable readings.

 


Observations and Calculations

Mean value of G ……..Ohms

Precautions

  • Ensure all connections are tight and neat.

  • Introduce a large resistance R before closing key K₁.

  • Note only even divisions on the galvanometer scale.

  • Avoid parallax errors while reading.

  • Do not press keys for too long to prevent heating.


Viva Questions

Q1: Why does a galvanometer have resistance?
Ans: The galvanometer has resistance due to the wire in its coil.

Q2: Why does the deflection become half after closing the shunt key?
Ans: Half of the current flows through the galvanometer, and the remaining half passes through the shunt, following the half deflection method.

Q3: What is meant by Ig?
Ans: Ig is the current required for full-scale deflection, causing the needle to reach its maximum position.

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