There are four coils of wire being used as electromagnets. They all have the same size and are made up of the same material but
1 answer:
Answer:
The coil with the maximum number of loops will produce the magnetic field with the maximum strength.
Explanation:
The magnetic field produced by a current-carrying coil at a point on the axis which is passing through its center and perpendicular to its plane is given by
<em>where</em>,
= magnetic permeability of the free space.
- N = number of loops of the coil.
- I = current flowing through the coil.
- R = radius of the coil.
- r = distance of the point where the magnetic field is to be found from the center of the coil.
Now, it is given that all the four coils have the same size, means same radius R, same material, means same permeability for all the coils, and the same amount of current is passing through all the coils, means same current I.
The magnetic field of all the four coils is differing only due to the number of loops N.
Thus, the coil with the maximum number of loops N will produce the magnetic field with the maximum strength.
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Answer:
<em>They represent kinetic energy</em>
Explanation:
<u>Kinetic Energy </u>
A body can do work due to some of its attributes or states. For example, its mass can do work if used to provide energy, if the object is at a certain height respect to some reference level, it can do work when going downwards (potential energy), if the object moves at a certain speed, it can do work when transferring part of its speed to other objects. It's called kinetic energy and is given by
Both runners are moving in a horizontal path, thus they have kinetic energy, given by the above equation. If they could jump below ground level, then they will also have potential energy
Answer:
Approximately 21 km.
Explanation:
Refer to the not-to-scale diagram attached. The circle is the cross-section of the sphere that goes through the center C. Draw a line that connects the top of the building (point B) and the camera on the robot (point D.) Consider: at how many points might the line intersects the outer rim of this circle? There are three possible cases:
- No intersection: There's nothing that blocks the camera's view of the top of the building.
- Two intersections: The planet blocks the camera's view of the top of the building.
- One intersection: The point at which the top of the building appears or disappears.
There's only one such line that goes through the top of the building and intersects the outer rim of the circle only once. That line is a tangent to this circle. In other words, it is perpendicular to the radius of the circle at the point A where it touches the circle.
The camera needs to be on this tangent line when the building starts to disappear. To find the length of the arc that the robot has travelled, start by finding the angle which corresponds to this minor arc.
This angle comes can be split into two parts:
.
Also,
.
The radius of this circle is:
.
The lengths of segment DC, AC, BC can all be found:
;
;
.
In the two right triangles and
, the value of
and
can be found using the inverse cosine function:
.
The length of the minor arc will be:
.
