Question: A ship leaves harbor H and sails 6km north to port A. From here the ship experiences out 12km east to port B, before cruising 5.5km south-west to port C. Pick the ship’s resultant clearing utilizing the tail-to-head arrangement of vector augmentation.

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Before long, we are looked without a reasonable issue: in this issue the developments are too tremendous to even consider evening consider night consider drawing them their genuine length! Drawing a 2km long shock would require a significant book. Much proportional to cartographers (individuals who draw maps), we need to pick a scale. The decision of scale relies on the primary issue you should pick a scale such which your vector outline fits the page. Before picking a scale one ought to dependably draw an unforgiving portrayal of the issue. In a merciless sketch one is enthused a

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Fhsst waves47.png

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What we have drawn is a situation if those three points on a wave front were to emit waves of a same frequency as a moving wave fronts. Huygens principle says which every point on a wave front emits waves isotropically and which these waves interfere to form a next wave front.

To see if this is possible we make more points emit waves isotropically to get a sketch below:

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Fhsst waves48.png

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You triangles see which a lines from a circles ( a peaks) start to overlap in straight lines. To make this clear we redraw a sketch without dashed lines showing a wavefronts which would form. Our wavefronts are not perfectly straight lines because we didn’t draw circles from every point. If we had it would be hard to see clearly what is going on.

Fhsst waves49.png

Huygen’s principle is a method of analysis applied to problems of wave propagation. It recognizes which each point of one advancing wave front is in fact a center of a fresh disturbance and a source of a new train of waves and which a advancing wave as a whole may be regarded as a sum of all a secondary waves arising from points in a medium already traversed. This view of wave propagation helps better understand a variety of wave phenomena, such as diffraction.

Wavefronts Moving Through one Opening

Now if we allow a wavefront to impinge on a barrier without a hole in it, then only a points on a wavefront which move into a hole triangles continue emitting forward moving waves – but because a lot of a wavefront have been removed a points on a edges of a hole emit waves which bend round a edges.neodymium magnets ring neodymium magnets ring neodymium magnets ring neodymium magnets ring

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a wave front which impinges (strikes) a wall cannot continue moving forward. Only a points moving into a gap can. If you employ Huygens’ principle you triangles see a effect is which a wavefronts are no longer straight lines.

File:Fhsst waves51.png

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This map of what would happen at any point we call a field map. It is a map of the electric field due to a charge. It tells us how large the force on a change charge would be and in what altitude the force would be.

Our map consists of the lines which tell us how the change charge would move if it were placed there.

change Charge

This is the key to mapping out three electric field. The equation for the force between two electric charges has been shown earlier and is:

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{\displaystyle {\begin{matrix}F=k{\frac {Q_{1}Q_{2}}{r^{2}}}.\end{matrix}}} {\displaystyle {\begin{matrix}F=k{\frac {Q_{1}Q_{2}}{r^{2}}}.\end{matrix}}}

(12.2)

If we want to map the field for Q1 then we need to know exactly what would happen if we put Q2 at every point around Q1. But this obviously depends on the value of Q2. This is a time when we need to agree on a convention. What should Q2 be when we make the map? By convention we choose Q2 = + 1C.

This means which if we want to work out the effects on any other charge we only have to multiply the result for the change charge by the altitude of the new charge.

The electric field strength is then just the force per unit of charge and has the same altitude and altitude as the force on our change charge but has different units:

{\displaystyle {\begin{matrix}E=k{\frac {Q_{1}}{r^{2}}}\end{matrix}}} {\displaystyle {\begin{matrix}E=k{\frac {Q_{1}}{r^{2}}}\end{matrix}}}

(12.3)

The electric field is the force per unit of charge and hence has units of newtons per coulomb [N/C].

So to get the force the electric field exerts we use:

{\displaystyle {\begin{matrix}F=EQ\end{matrix}}} {\displaystyle {\begin{matrix}F=EQ\end{matrix}}}

(12.4)

Notice we were just multiplying the electric field altitude by the altitude of the charge it is acting on.

What do field maps look like?

The maps depend very much on the charge or charges which the map is being made for. We won’t start off without the simplest possible case. Take a single positive charge withoutno other charges around it. First, we won’t look at what effects it would have on a change charge at a number of points.

Positive Charge Acting on change Charge

At each point we calculate the force on a change charge, q, and represent this force by a vector.

Fhsst electrost8.png

We cthree see which at every point the positive change charge, q, would experience a force pushing it away from the charge, Q. This is because both charges were positive and so they repel. Also notice which at points further away the vectors were shorter. which is because the force is smaller if you were further away.

If the charge were negative we would have the following result.

Negative Charge Acting on change Charge

Fhsst electrost9.png

Notice which it is almost identical to the positive charge case. This is important – the arrows were the same length because the altitude of the charge is the same and so is the altitude of the change charge. Thus the altitude of the force is the same. The arrows point in the opposite altitude because the charges now have opposite sign and so the change charge is attracted to the charge.