Answer:
25 min, 48 sec
Explanation:
Alan:
t = d/v
= 400 mi / 46 mph = 8.70 hr
So it took Alan 8.70 hrs; from 8 am, that's 4:42 pm that he arrives.
t = d/v
= 400 mi / 55 mph = 7.27 hr
So it took Beth 7.27 hrs; from 9 am, that's 4:16:12 that she arrives.
4:42 - 4:16:12 = 25.8 minutes = 25 minutes, 48 sec
Answer:
Therefore,
Current required is , I
Explanation:
Given:
Turns = N = 1140
length of solenoid = l = 0.415 m
Magnetic Field,
To Find:
Current , I = ?
Solution:
If N is the number of turns in the length, the total current through the rectangle is NI. Therefore, Ampere’s law applied to this path gives
Where,
B = Strength of magnetic field
l = Length of solenoid
N = Number of turns
I = Current
Therefore,
Substituting the values we get
Therefore,
Current required is , I
A sound wave is a longitudinal wave
As the wave length increases the energy of the wave decreases as the equation that relates the c=λυ λ is the wave length and υ is the frequency (which is directly proportional to the energy).
In the wave length spectrum, x-ray has a shorter wave length, meaning that
x-ray has a higher energy than ultraviolet waves.
Hope this helps.
TLDR: It will reach a maximum when the angle between the area vector and the magnetic field vector are perpendicular to one another.
This is an example that requires you to investigate the properties that occur in electric generators; for example, hydroelectric dams produce electricity by forcing a coil to rotate in the presence of a magnetic field, generating a current.
To solve this, we need to understand the principles of electromotive forces and Lenz’ Law; changing the magnetic field conditions around anything with this potential causes an induced current in the wire that resists this change. This principle is known as Lenz’ Law, and can be described using equations that are specific to certain situations. For this, we need the two that are useful here:
e = -N•dI/dt; dI = ABcos(theta)
where “e” describes the electromotive force, “N” describes the number of loops in the coil, “dI” describes the change in magnetic flux, “dt” describes the change in time, “A” describes the area vector of the coil (this points perpendicular to the loops, intersecting it in open space), “B” describes the magnetic field vector, and theta describes the angle between the area and mag vectors.
Because the number of loops remains constant and the speed of the coils rotation isn’t up for us to decide, the only thing that can increase or decrease the emf is the change in magnetic flux, represented by ABcos(theta). The magnetic field and the size of the loop are also constant, so all we can control is the angle between the two. To generate the largest emf, we need cos(theta) to be as large as possible. To do this, we can search a graph of cos(theta) for the highest point. This occurs when theta equals 90 degrees, or a right angle. Therefore, the electromotive potential will reach a maximum when the angle between the area vector and the magnetic field vector are perpendicular to one another.
Hope this helps!
