Sorry, I made some mistake previously and I modified the question.
If I want to find the flux of the bottom face, top face, side surface of cylinder and the tangent surface of the cylinder,
How can I express it in inequality?
Homework Statement
F(x,y,z)=4x i - 2y^2 j +z^2 k
S is the cylinder x^2+y^2<=4, The plane 0<=z<=6-x-y
Find the flux of F
Homework Equations
The Attempt at a Solution
What is the difference after if I change the equation to inequality?
For example :
x^2+y^2<=4, z=0
x^2+y^2<=4 , z=6-x-y...
Why the gaussian surface is "A" instead of "2A" on the right-hand side?(the photo attached below)
Due to the thickness of the sheet?
I usually find that E=σ/2ϵ0 is being frequently used but we hardly use E=σ/ϵ0.
When can I directly apply the equation E=σ/ϵ0 ?
thanks for the reply
Should u and v be [0,pi/2],[0,4] respectively ?
thus, the integration is
\int_{0}^{4}\int_{0}^{\frac{\pi}{2}} (4cosu,2sinu,v)\cdot (2cosu,4sinu,0) dudv
=\int_{0}^{4}\int_{0}^{\frac{\pi}{2}} (8cos^{2}u+8sin^{2}u)dudv
For the second part,
If I use the shperical coordinate...
Homework Statement
Verify the Divergence Theorem for F=(2xz,y,−z^2) and D is the wedge cut from the first octant by the plane z =y and the elliptical cylinder x^2+4y^2=16
Homework Equations
\int \int F\cdot n dS=\int \int \int divF dv
The Attempt at a Solution
For the RHS...
Homework Statement
I.The gas is heated at constant pressure until the volume is 4.4L at point B
II. The gas is cooled at constant volume until the pressure decreases to 1.2 atm
III. The gas undergoes an isothermal compression back to point A
a) Find the temperature at Point A,B,C
b) Find the...
Homework Statement
If an engine operates between 250°C and 25°C, what is its maximum thermodynamic efficiency?Homework Equations
Ec=1-Tc/Th
The Attempt at a Solution
1-25/250
=90%
or
1-(25+273)/(250+273)
=43%
In this question,which one should I use K or ºC ?
thank you
Homework Statement
1.
A gas expands as shown in the graph. If the heat taken in during this process is 1.02 × 10^6 J, the change in internal energy of the gas (in J) is
2.
One mole of an ideal gas is held at a constant pressure of 1 atm. Find the change in volume if the temperature changes by...
Thank you
the resistot with wrong label is the internal resistor of the signal generator
I think it can be neglected during the calculation since the value is not given
Homework Statement
assume β=200,Vt=26mV,Vbe(on)=0.7V
Find the voltage gain Vo/Vs
How to find the Rth , Vs ,then find the voltage gain?
I try to draw the circuit diagram below
Homework EquationsThe Attempt at a Solution
Vth=[R2/(R1+R2)]*15
Vth=1.63V
Which method should I use to find Rth...
I am learning how to connect a BJT circuit on breadboard.I find this tutorials https://backyardbrains.com/experiments/transistorDesign#prettyPhoto
If I want to remove all the input components ,I connect to a power supply
How to connect the circuit to the ground and provide +9V to the circuit ?
But I substitute vi=60 to
50*sin30=Vi*sin30*t -1/2gt^2
I get t=0.995s or 5.127s
then put the t =5.127 into
x=x0+vi*cos30*t
then x=266
what's wrong with it?