Is 35 miles per hour a vector or a scalar? 1. vector 2. scalar
2 answers:
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Answer:
Explanation:
Energy density in magnetic field is given as;
where;
B is the magnetic field strength
Energy density of electric field
where;
E is electric field strength
Take the ratio of the two fields energy density
But, Electric field potential, V = E x L = IR (I is current and R is resistance)
Now replace E x L with IR
Also, B = μ₀I / 2πr, substitute this value in the above equation
cancel out the current "I" and factor out μ₀
Finally, the equation becomes;
Therefore, the correct option is (d) μ₀/ϵ₀ (L /R 2πr)²
<u>We are given:</u>
Direction of motion: 25 degrees south of the east axis
Distance covered = 125 m
<u>East component of the Ball:</u>
<em>this component is denoted by green color in the image</em>
Once we drop a perpendicular from the end of the direction vector on the x-axis, we get a right angled triangle
The magnitude of the side of the triangle on the x-axis denotes the east component of the ball
Using trigonometry, we find that the east component of the ball is:
125 * Cos(25 degrees)
125 * 0.9 = 112.5 i (here, i denotes rightward direction on the x-axis)
<u />
<u>North Component of the Ball:</u>
<em>this component is denoted by blue color in the image</em>
Using trigonometry, we find that the North component of the ball is:
125* Sin(25 degrees) (-j) <em>[j denotes upward movement on the y-axis, since the vector is acting downwards, we have used '-j']</em>
125 * 0.42 (-j)
52.5 (-j) = -52.5 j
Therefore the direction vector of the ball is 112.5 i - 52.5 j
<em>where 112.5 i is the East Component and -52.5 is the North Component</em>
