If n represents the actual number of deflections in a converted galvanometer of resistance G and shunt resistance S. Then the total current I when its figure of merit is K will be:
Question
If n represents the actual number of deflections in a converted galvanometer of resistance G and shunt resistance S. Then the total current I when its figure of merit is K will be:
Solution
The total current I in a converted galvanometer can be calculated using the formula:
I = n/K + nG/S
Here's the step-by-step process:
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Calculate the current through the galvanometer, which is n/K. This is because the figure of merit K is defined as the current required for one unit deflection, so the current for n deflections is n/K.
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Calculate the current through the shunt resistance, which is nG/S. This is because when a shunt resistance is used, the current is divided between the galvanometer and the shunt resistance in inverse proportion to their resistances. So, the current through the shunt resistance is the
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