Graph of torque against displacement of galvanometer needle

In summary, The correct answer is (c) and the shape of the graph will be a straight line followed by a curve downwards. This is because both the angle and torque will be zero when no current is flowing. Graph (c) shows this relationship accurately.
  • #1
songoku
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Homework Statement
The diagram below is a galvanometer. A coil is wound around a circular core which is placed between two magnets with circular surface such that the magnetic field (indicated by arrows) on the surface of iron core is directed perpendicularly onto the surface and of the same magnitude across the surface of iron core.

When a constant current flows, the needle will be deflected to angle ##8_0## from the vertical direction. Which of the following shows the variation of torque on soft iron core ##\tau## with angular displacement ##\theta##?
Relevant Equations
##\tau = NBIA##
1613623933222.png


1613623956715.png


My guess is (c) since the rest of the options do not make sense to me but I am not sure about the shape of the graph.

Is (c) the correct answer? If yes, how to know whether the shape will be like in the option (straight line then curve downwards) or other shape like straight line only (like y = mx) or curve only?

Thanks
 
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  • #2
What is the angle when no current is flowing?
What is the torque when no current is flowing?
Which of the four graphs agrees with your answers in the previous two questions?
 
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  • #3
kuruman said:
What is the angle when no current is flowing?
What is the torque when no current is flowing?
Which of the four graphs agrees with your answers in the previous two questions?
Both answer will be zero so graph (c) is the correct answer, but how about the shape? If I am being asked to draw the graph, how to know the correct shape?

Thanks
 

Related to Graph of torque against displacement of galvanometer needle

1. What is a galvanometer?

A galvanometer is a device used to measure small electrical currents. It typically consists of a coil of wire suspended in a magnetic field, which causes the coil to rotate when a current passes through it.

2. What is torque?

Torque is a measure of the turning or twisting force on an object. In the context of a galvanometer, it refers to the force that causes the needle to rotate.

3. How is torque related to displacement on a galvanometer?

The graph of torque against displacement on a galvanometer shows the relationship between the amount of torque applied to the needle and the resulting displacement or rotation of the needle. This relationship is typically linear, with greater torque resulting in greater displacement.

4. What does the slope of the graph represent?

The slope of the graph represents the sensitivity of the galvanometer. A steeper slope indicates a more sensitive galvanometer, meaning that smaller amounts of torque will result in larger displacements of the needle.

5. How is a galvanometer used in scientific experiments?

Galvanometers are commonly used in scientific experiments to measure small electrical currents. They can also be used to detect changes in magnetic fields or to measure small displacements or vibrations. They are often used in conjunction with other instruments to collect data and make precise measurements.

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