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3 years ago

Find the sum of the following vectors A=3i-12j and B=4i+7j

Physics

1 answer:

Lady_Fox [76]3 years ago

8 0

Answer:

(I). The sum of the vectors is (7i-5j).

(II). The sum of the vectors is (8i+7j).

Explanation:

Given that,

(I). Vector A $A=3i-12j$

Vector B $B=4i+7j$

Suppose, (II). Vector A $A=6i+15j$

Vector B $B=2i-8j$

(I). We need to calculate the sum of the vectors

Using formula of sum

$\vec{C}=\vec{A}+\vec{B}$

Where,

$\vec{A}= vector A$

$\vec{B}= vector B$

$\vec{C}= sum of the vector A and bPut the value into the formula[tex]\vec{C}=(3i-12j)+(4i+7j)$

$\vec{C}=7i-5j$

(II). We need to calculate the sum of the vectors

Using formula of sum

$\vec{C}=\vec{A}+\vec{B}$

Put the value into the formula

$\vec{C}=(6i+15j)+(2i-8j)$

$\vec{C}=8i+7j$

Hence, The sum of the vectors is (7i-5j).

The sum of the vectors is (8i+7j).

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3 years ago

A very long, uniformly charged cylinder has radius R and linear charge density λ. Find the cylinder's electric field strength ou

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The cylinder's electric field magnitude, at a distance <em>r</em> from the axis of the cylinder (greater than the cylinder's radius), is equal to $E= \frac{\lambda}{2\pi \epsilon_0 \cdot r}$

<h3>Further explanation</h3>

Matter is the building block of everything that we encounter in our lives. Matter is made of atoms, which are in turn made of tiny particles which are called electrons, protons, and neutrons. The ammount of these 3 elements, and their topological configuration in the atoms, is what determines what a certain element is (like Carbon, Hydrogen, Iron, etc).

In some cases, some elements may lose or gain some electrons. Regarded that this missing or extra electrons are not very high in number, the material doesn't lose any of its properties, however it will always try to get its number of electrons back to normal. This is when we say that an element has a <em>charge</em>, which is a measure of how much electrons a body needs to get back to normal. A body has positive charge if it lacks electrons, and has negative charge if it has extra electrons.

This charge causes the material to have an Electric field, which is a measure of how much does it attract or repel electrons. In the case of our problem, we need to compute exactly that, the Electric field. In our problem, we have an infinitely long cylinder with a linear charge density $\lambda$ , this means that all parts of the cylinder have the same charge, and due to symmetry, the electric field is constant on the angular and longitudinal directions of the cylinder.

This makes easy to apply Gauss' Law, since for a Gaussian curve in the shape of a concentric cylinder (with a higher radius than that of our charged cylinder) we can write:

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Where $\Phi$ is called the Electric flux. Since the electric field is constant for a given distance <em>r</em> from the axis of the cylinder we can write that:

$\Phi = E \cdot 2\pi r \cdot L$

Joining both our expressions we can get that:

$E= \frac{\lambda}{2\pi \epsilon_0 \cdot r}$

<h3 /><h3>Learn more</h3>

Description on Electric fields: brainly.com/question/8971780
Relation between electric fields and magnetism: brainly.com/question/2838625
How can we use electric charges: brainly.com/question/10427437

<h3>Keywords</h3>

Electrons, protons, electric field, cylinder, electric flux

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2 years ago

Find the sum of the following vectors A=3i-12j and B=4i+7j​

Find the sum of the following vectors A=3i-12j and B=4i+7j