An object is said to be in state of motion if its position changes with the passage of time. If the position of the object does not change with the passage of time then the object is said to be at rest. We have now define what is motion and to describe it we consider simplest form of motion that is motion of any object in one dimension for example car moving on the road. To determine the position of car at different times , we could measure its distance from starting point and record all these observations. These observations can be recorded in form of a table or we can draw a distance versus time graph for the motion of the car and see how it is moving.
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Motion is a relative concept . You are sitting on a train. A object on trains seems to be at rest from your perspective but it is in motion from the person standing on the ground.So it is tied to particular frame of refrence choosen by observer.
Now Different observer may use different frame of refrence , And velocity ,acceleration may be different from these different frame of reference
It is important to know how these measurement in different frame of refrence are related.
The acceleration vector has the same direction as instantanous change in velocity. Since the direction of the velocity changes in the direction in which the curve bends ,the acceleration is always pointing towards concavity of the curve
The acceleration in curvilinear motion can also be expressed in terms of two components
We all know that Gauss’s law is basically the relation between the charge distribution producing the electrostatic field to the behaviour of electrostatic field in space. Also Gauss’s law is based on the fact that flux through any closed surface is a measure of total amount of charge inside that surface and any charge outside that surface would not contribute anything to the total flux.
Here in this post we will go through a quick recap of vector algebra keeping in mind that reader already had detail knowledge and problem solving skills related to the topic being discussed. Here we are briefing Vector Algebra because concepts of electrostatics , electromagnetism and many more physical phenomenon can best be conveniently expressed using this tool.
Magnetic Force on the charged particles is given by
F=q(v x B)
Where v is the velocity which is frame dependent.So different observer will calculate different Magnetic Force
A charge at rest produces no magnetic field but a moving charge produces a magnetic field. Again moving charge depends on frame of refrence
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