Answer:
The total energy can be expressed as
Explanation:
The problem states that
The Poynting vector, which measures energy flux, equals
The rectangle's length is represented by
The width of the rectangle is
The duration considered is
Mathematically, the overall electromagnetic energy incident on the area is given by
where A denotes the area of the rectangle, calculated as
By plugging in the respective values
Again substituting values
Answer:
Explanation:
We define the linear charge density as:
Where L is the length of the rod, in this scenario the semicircle's length is L = πr
The potential at the center created by a differential element of charge is:
where k denotes Coulomb's constant
r signifies the distance from dq to the center of the circle
Thus.
The potential at the semicircle's center
Response:
Once it has crossed, the locomotive requires 17.6 seconds to achieve a speed of 32 m/s.
Details:
The locomotive's acceleration is 1.6
The duration taken to pass the crossing is 2.4 seconds.
We can apply the motion equation, v = u + at, where v represents final velocity, u indicates initial velocity, a denotes acceleration, and t signifies time.
When the speed reaches 32 m/s, we have v = 32 m/s, u = 0 m/s, and a= 1.6 .
32 = 0 + 1.6 * t
t = 20 seconds.
Therefore, the locomotive attains a speed of 32 m/s after 20 seconds, and it passes the crossing in 2.4 seconds.
Thus, after clearing the crossing, it takes an additional 17.6 seconds to reach the speed of 32 m/s.
