A circular wire loop of radius 12.1 cm carries a current of 2.16 A. It is placed so that the normal to its plane makes an angle
1 answer:
To develop this problem we will apply two concepts of electromagnetic physics. The first is the magnetic dipole moment which is defined as the product between the current and the area, and the other is the torque as a function of the magnetic field. Both are described below
The magnetic dipole moment is defined as,
Here,
I = Current
A = Area
At the same time the Torque acting on the loop is given as,
Here,
B = Magnitude of the magnetic field
= Angle between magnetic field and the normal to the plane
PART A) The radius of the circular loop is,
Using the expression of the area in a circle and replacing it in the definition of the magnetic dipole moment we have
PART B) Using the expression for torque we now have the data of all the variables, therefore replacing them
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Answer:
x2 = 0.99
Explanation:
from superheated water table
at pressure p1 = 0.6MPa and temperature 200 degree celcius
h1 = 2850.6 kJ/kg
From energy equation we have following relation
h2 = 2671.85 kJ/kg
from superheated water table
at pressure p2 = 0.15MPa
specific enthalpy of fluid hf = 467.13 kJ/kg
enthalpy change hfg = 2226.0 kJ/kg
specific enthalpy of the saturated gas hg = 2693.1 kJ/kg
as it can be seen from above value hf>h2>hg, so phase 2 is two phase region. so we have
quality of steam x2
h2 = hf + x2(hfg)
2671.85 = 467.13 +x2*2226.0
x2 = 0.99
Answer:
<em>a. Angle= 28.82°</em>
<em>b. Approved. He will get cold but he should be able to make it across</em>
Explanation:
Velocity Vector
The velocity is a physical quantity that measures how fast or slow at a particular direction some object is moving. It must be expressed as a vector with both a magnitude and direction. If the object is confined to move in one direction, then we can use the speed as the scalar (magnitude only) equivalent of the velocity.
a.
The explorer wants to swim across a river to his campsite, as shown in the image below. The river has a velocity vr and the explorer can swim at ve in still water. If he swam directly to the campsite, he would end up in a point below it because the river would push him down. He must swim with a velocity such that he overcomes the stream but he advances to its objective. Let's call the angle he must swim at respect to the shoreline to achieve his goal. The explorer's velocity can be decomposed in its rectangular components vx and vy. To overcome the river's velocity:
We can compute the vertical component of the explorer's velocity as
Thus
Solving for
Then we have the angle is
b.
The horizontal component of the explorer's velocity is
This is the real velocity the explorer is having directly to the campsite
Knowing that
Solving for t
Calculating the time it takes the explorer to cross the river
Since this value is less than the limit value of hypothermia (300 sec), the decision is
Approved. He will get cold but he should be able to make it across
