It is to be noted that the electric field that has been induced is (<em>-B₁ A/2</em>
R)θ. This is obtained by using the vector units in the Cylindrical Coordinate System.
<h3>What are Cylindrical Coordinates?</h3>
Cylindrical Coordinates are simply defined as a component of a coordinate system that is used to locate a location in space using its polar coordinates and vertical distance from the polar plane.
<h3>How is the induced field arrived at?</h3>
The formula for Induced Electric Field is given as:
<em>∫ E · dl = ∈</em>
<em />
If we replace ∈ with <em>-B₁A </em>and <em>2</em>
<em>R </em>for <em>dl </em>then
<em>∫ E · dl </em>= <em>-B₁A. </em>Thus, we can state that
<em> </em>
<em>E∫ dl = -B₁A</em>
<em />
<em>Replacing or substituting 2</em>
<em>R for ∫ dl ·E(2πR) = - B₁A</em>
<em />
We can thus rearrange the equation to read:
<em>E · E = (</em>
)θ
It is to be noted that the circumference of a circle is the integral of the length of the element. While θ, which in this case is the unit vector refers to the Cylindrical Coordinate and the direction of the electric field.
Learn more about Cylindrical Coordinates at:
brainly.com/question/3376338
Answer:
11.87m/s
Explanation:
To solve this problem it is necessary to apply the concepts related to frictional force and centripetal force.
The frictional force of an object is given by the equation

Where,
Friction Coefficient
N = Normal Force, given also as mass for acceleration gravity
In the other hand we have that centripetal force is given by,

The force experienced to stay on the road through friction is equal to that of the centripetal force, therefore


Re-arrange to find the velocity,



Therefore the speed that it is necessaty to slow down the car in order to make the curve without sliding is 11.87m/s
Answer:
1.78 s
Explanation:
Initial speed of the ball = u = 7.95 m/s and is vertically downwards.
Acceleration due to gravity = g = 9.8 m/s/s , vertically downwards.
Height of the building h = 29.8 m (traversed downwards by the steel ball).
h = u t + 1/2 g t²
29.8 = 7.95 t + 0.5 (9.8) t²
⇒ 4.9 t² +7.95 t - 29.8 = 0
Using the quadratic formula , solve for t.
t= 
t =
= 1.78 s, -3.4 s
Since time does not have a negative value, time taken by the stone to reach the ground = t = 1.78 s
Acceleration = change in velocity/ time = (final velocity - initial velocity)/time
<span>accel = (60ft/s - 45ft/s)/5s = 3 ft/s</span>