The formula to calculate Shunt (Rsh) is:
\[ R_{sh} = R_G \cdot \left( \frac{I_G}{I - I_G} \right) \]
Where:
Shunt is a device that allows electric current to pass around another point in the circuit by creating a low-resistance path.
Resistance through Galvanometer is the opposition to the flow of electric current in a galvanometer, measured in ohms, affecting the device's sensitivity and accuracy.
Electric Current through Galvanometer is the flow of electrons through a galvanometer, which is an analog electromechanical measuring instrument that detects electric current.
Electric Current is the flow of electrons in a conductor, measured in amperes, and is a fundamental concept in understanding electrical circuits and devices.
Let's assume the following values:
Using the formula:
\[ R_{sh} = R_G \cdot \left( \frac{I_G}{I - I_G} \right) \]
Evaluating:
\[ R_{sh} = 1.36 \cdot \left( \frac{1.101}{2.1 - 1.101} \right) \]
The Shunt is 1.49885885885886 Ω.
| Resistance through Galvanometer (RG) | Electric Current through Galvanometer (IG) | Electric Current (I) | Shunt (Rsh) |
|---|---|---|---|
| 1 | 0.5 | 1.5 | 0.500000000000000 |
| 1 | 0.5 | 1.7 | 0.416666666666667 |
| 1 | 0.5 | 1.9 | 0.357142857142857 |
| 1 | 0.5 | 2.1 | 0.312500000000000 |
| 1 | 0.5 | 2.3 | 0.277777777777778 |
| 1 | 0.7 | 1.5 | 0.875000000000000 |
| 1 | 0.7 | 1.7 | 0.700000000000000 |
| 1 | 0.7 | 1.9 | 0.583333333333333 |
| 1 | 0.7 | 2.1 | 0.500000000000000 |
| 1 | 0.7 | 2.3 | 0.437500000000000 |
| 1 | 0.9 | 1.5 | 1.500000000000000 |
| 1 | 0.9 | 1.7 | 1.125000000000000 |
| 1 | 0.9 | 1.9 | 0.900000000000000 |
| 1 | 0.9 | 2.1 | 0.750000000000000 |
| 1 | 0.9 | 2.3 | 0.642857142857143 |
| 1 | 1.1 | 1.5 | 2.749999999999999 |
| 1 | 1.1 | 1.7 | 1.833333333333333 |
| 1 | 1.1 | 1.9 | 1.375000000000000 |
| 1 | 1.1 | 2.1 | 1.100000000000000 |
| 1 | 1.1 | 2.3 | 0.916666666666666 |
| 1 | 1.3 | 1.5 | 6.499999999999994 |
| 1 | 1.3 | 1.7 | 3.249999999999999 |
| 1 | 1.3 | 1.9 | 2.166666666666666 |
| 1 | 1.3 | 2.1 | 1.624999999999999 |
| 1 | 1.3 | 2.3 | 1.299999999999999 |
| 1 | 1.5 | 1.5 | 6,755,399,441,055,743.000000000000000 |
| 1 | 1.5 | 1.7 | 7.499999999999992 |
| 1 | 1.5 | 1.9 | 3.749999999999998 |
| 1 | 1.5 | 2.1 | 2.499999999999998 |
| 1 | 1.5 | 2.3 | 1.874999999999999 |
| 1.2 | 0.5 | 1.5 | 0.600000000000000 |
| 1.2 | 0.5 | 1.7 | 0.500000000000000 |
| 1.2 | 0.5 | 1.9 | 0.428571428571429 |
| 1.2 | 0.5 | 2.1 | 0.375000000000000 |
| 1.2 | 0.5 | 2.3 | 0.333333333333333 |
| 1.2 | 0.7 | 1.5 | 1.050000000000000 |
| 1.2 | 0.7 | 1.7 | 0.840000000000000 |
| 1.2 | 0.7 | 1.9 | 0.700000000000000 |
| 1.2 | 0.7 | 2.1 | 0.600000000000000 |
| 1.2 | 0.7 | 2.3 | 0.525000000000000 |
| 1.2 | 0.9 | 1.5 | 1.799999999999999 |
| 1.2 | 0.9 | 1.7 | 1.350000000000000 |
| 1.2 | 0.9 | 1.9 | 1.080000000000000 |
| 1.2 | 0.9 | 2.1 | 0.900000000000000 |
| 1.2 | 0.9 | 2.3 | 0.771428571428571 |
| 1.2 | 1.1 | 1.5 | 3.299999999999998 |
| 1.2 | 1.1 | 1.7 | 2.199999999999999 |
| 1.2 | 1.1 | 1.9 | 1.650000000000000 |
| 1.2 | 1.1 | 2.1 | 1.320000000000000 |
| 1.2 | 1.1 | 2.3 | 1.099999999999999 |
| 1.2 | 1.3 | 1.5 | 7.799999999999992 |
| 1.2 | 1.3 | 1.7 | 3.899999999999998 |
| 1.2 | 1.3 | 1.9 | 2.599999999999999 |
| 1.2 | 1.3 | 2.1 | 1.949999999999999 |
| 1.2 | 1.3 | 2.3 | 1.559999999999999 |
| 1.2 | 1.5 | 1.5 | 8,106,479,329,266,891.000000000000000 |
| 1.2 | 1.5 | 1.7 | 8.999999999999989 |
| 1.2 | 1.5 | 1.9 | 4.499999999999997 |
| 1.2 | 1.5 | 2.1 | 2.999999999999998 |
| 1.2 | 1.5 | 2.3 | 2.249999999999998 |
| 1.4 | 0.5 | 1.5 | 0.700000000000000 |
| 1.4 | 0.5 | 1.7 | 0.583333333333333 |
| 1.4 | 0.5 | 1.9 | 0.500000000000000 |
| 1.4 | 0.5 | 2.1 | 0.437500000000000 |
| 1.4 | 0.5 | 2.3 | 0.388888888888889 |
| 1.4 | 0.7 | 1.5 | 1.225000000000000 |
| 1.4 | 0.7 | 1.7 | 0.980000000000000 |
| 1.4 | 0.7 | 1.9 | 0.816666666666667 |
| 1.4 | 0.7 | 2.1 | 0.700000000000000 |
| 1.4 | 0.7 | 2.3 | 0.612500000000000 |
| 1.4 | 0.9 | 1.5 | 2.099999999999999 |
| 1.4 | 0.9 | 1.7 | 1.575000000000000 |
| 1.4 | 0.9 | 1.9 | 1.260000000000000 |
| 1.4 | 0.9 | 2.1 | 1.050000000000000 |
| 1.4 | 0.9 | 2.3 | 0.900000000000000 |
| 1.4 | 1.1 | 1.5 | 3.849999999999998 |
| 1.4 | 1.1 | 1.7 | 2.566666666666666 |
| 1.4 | 1.1 | 1.9 | 1.925000000000000 |
| 1.4 | 1.1 | 2.1 | 1.539999999999999 |
| 1.4 | 1.1 | 2.3 | 1.283333333333333 |
| 1.4 | 1.3 | 1.5 | 9.099999999999991 |
| 1.4 | 1.3 | 1.7 | 4.549999999999998 |
| 1.4 | 1.3 | 1.9 | 3.033333333333332 |
| 1.4 | 1.3 | 2.1 | 2.274999999999999 |
| 1.4 | 1.3 | 2.3 | 1.819999999999999 |
| 1.4 | 1.5 | 1.5 | 9,457,559,217,478,040.000000000000000 |
| 1.4 | 1.5 | 1.7 | 10.499999999999988 |
| 1.4 | 1.5 | 1.9 | 5.249999999999997 |
| 1.4 | 1.5 | 2.1 | 3.499999999999997 |
| 1.4 | 1.5 | 2.3 | 2.624999999999998 |
| 1.6 | 0.5 | 1.5 | 0.800000000000000 |
| 1.6 | 0.5 | 1.7 | 0.666666666666667 |
| 1.6 | 0.5 | 1.9 | 0.571428571428571 |
| 1.6 | 0.5 | 2.1 | 0.500000000000000 |
| 1.6 | 0.5 | 2.3 | 0.444444444444444 |
| 1.6 | 0.7 | 1.5 | 1.400000000000000 |
| 1.6 | 0.7 | 1.7 | 1.120000000000000 |
| 1.6 | 0.7 | 1.9 | 0.933333333333333 |
| 1.6 | 0.7 | 2.1 | 0.800000000000000 |
| 1.6 | 0.7 | 2.3 | 0.700000000000000 |
| 1.6 | 0.9 | 1.5 | 2.399999999999999 |
| 1.6 | 0.9 | 1.7 | 1.800000000000000 |
| 1.6 | 0.9 | 1.9 | 1.440000000000000 |
| 1.6 | 0.9 | 2.1 | 1.200000000000000 |
| 1.6 | 0.9 | 2.3 | 1.028571428571428 |
| 1.6 | 1.1 | 1.5 | 4.399999999999998 |
| 1.6 | 1.1 | 1.7 | 2.933333333333332 |
| 1.6 | 1.1 | 1.9 | 2.199999999999999 |
| 1.6 | 1.1 | 2.1 | 1.759999999999999 |
| 1.6 | 1.1 | 2.3 | 1.466666666666666 |
| 1.6 | 1.3 | 1.5 | 10.399999999999990 |
| 1.6 | 1.3 | 1.7 | 5.199999999999998 |
| 1.6 | 1.3 | 1.9 | 3.466666666666665 |
| 1.6 | 1.3 | 2.1 | 2.599999999999999 |
| 1.6 | 1.3 | 2.3 | 2.079999999999998 |
| 1.6 | 1.5 | 1.5 | 10,808,639,105,689,188.000000000000000 |
| 1.6 | 1.5 | 1.7 | 11.999999999999986 |
| 1.6 | 1.5 | 1.9 | 5.999999999999996 |
| 1.6 | 1.5 | 2.1 | 3.999999999999997 |
| 1.6 | 1.5 | 2.3 | 2.999999999999998 |
| 1.8 | 0.5 | 1.5 | 0.900000000000000 |
| 1.8 | 0.5 | 1.7 | 0.750000000000000 |
| 1.8 | 0.5 | 1.9 | 0.642857142857143 |
| 1.8 | 0.5 | 2.1 | 0.562500000000000 |
| 1.8 | 0.5 | 2.3 | 0.500000000000000 |
| 1.8 | 0.7 | 1.5 | 1.575000000000000 |
| 1.8 | 0.7 | 1.7 | 1.260000000000000 |
| 1.8 | 0.7 | 1.9 | 1.050000000000000 |
| 1.8 | 0.7 | 2.1 | 0.900000000000000 |
| 1.8 | 0.7 | 2.3 | 0.787500000000000 |
| 1.8 | 0.9 | 1.5 | 2.699999999999999 |
| 1.8 | 0.9 | 1.7 | 2.024999999999999 |
| 1.8 | 0.9 | 1.9 | 1.620000000000000 |
| 1.8 | 0.9 | 2.1 | 1.349999999999999 |
| 1.8 | 0.9 | 2.3 | 1.157142857142857 |
| 1.8 | 1.1 | 1.5 | 4.949999999999998 |
| 1.8 | 1.1 | 1.7 | 3.299999999999999 |
| 1.8 | 1.1 | 1.9 | 2.474999999999999 |
| 1.8 | 1.1 | 2.1 | 1.979999999999999 |
| 1.8 | 1.1 | 2.3 | 1.649999999999999 |
| 1.8 | 1.3 | 1.5 | 11.699999999999987 |
| 1.8 | 1.3 | 1.7 | 5.849999999999997 |
| 1.8 | 1.3 | 1.9 | 3.899999999999999 |
| 1.8 | 1.3 | 2.1 | 2.924999999999998 |
| 1.8 | 1.3 | 2.3 | 2.339999999999998 |
| 1.8 | 1.5 | 1.5 | 12,159,718,993,900,336.000000000000000 |
| 1.8 | 1.5 | 1.7 | 13.499999999999984 |
| 1.8 | 1.5 | 1.9 | 6.749999999999996 |
| 1.8 | 1.5 | 2.1 | 4.499999999999996 |
| 1.8 | 1.5 | 2.3 | 3.374999999999997 |
| 2 | 0.5 | 1.5 | 1.000000000000000 |
| 2 | 0.5 | 1.7 | 0.833333333333333 |
| 2 | 0.5 | 1.9 | 0.714285714285714 |
| 2 | 0.5 | 2.1 | 0.625000000000000 |
| 2 | 0.5 | 2.3 | 0.555555555555555 |
| 2 | 0.7 | 1.5 | 1.750000000000000 |
| 2 | 0.7 | 1.7 | 1.400000000000000 |
| 2 | 0.7 | 1.9 | 1.166666666666667 |
| 2 | 0.7 | 2.1 | 1.000000000000000 |
| 2 | 0.7 | 2.3 | 0.875000000000000 |
| 2 | 0.9 | 1.5 | 2.999999999999999 |
| 2 | 0.9 | 1.7 | 2.249999999999999 |
| 2 | 0.9 | 1.9 | 1.800000000000000 |
| 2 | 0.9 | 2.1 | 1.499999999999999 |
| 2 | 0.9 | 2.3 | 1.285714285714285 |
| 2 | 1.1 | 1.5 | 5.499999999999996 |
| 2 | 1.1 | 1.7 | 3.666666666666665 |
| 2 | 1.1 | 1.9 | 2.749999999999999 |
| 2 | 1.1 | 2.1 | 2.199999999999999 |
| 2 | 1.1 | 2.3 | 1.833333333333332 |
| 2 | 1.3 | 1.5 | 12.999999999999986 |
| 2 | 1.3 | 1.7 | 6.499999999999996 |
| 2 | 1.3 | 1.9 | 4.333333333333331 |
| 2 | 1.3 | 2.1 | 3.249999999999998 |
| 2 | 1.3 | 2.3 | 2.599999999999998 |
| 2 | 1.5 | 1.5 | 13,510,798,882,111,484.000000000000000 |
| 2 | 1.5 | 1.7 | 14.999999999999982 |
| 2 | 1.5 | 1.9 | 7.499999999999996 |
| 2 | 1.5 | 2.1 | 4.999999999999996 |
| 2 | 1.5 | 2.3 | 3.749999999999997 |