Homework Statement
Consider a shorted coaxial line with a resistive inner conductor with radius a, and a perfect outer conductor located at radius b. A DC voltage is applied at the input end. Find the electric and magnetic fields in the dielectric region (a<r<b), assuming the battery sets up a...
Hello Forum,
A coaxial cable is a two conductor transmission line.
If we connect a DC voltage source via a coaxial cable to a resistor so that the positive terminal is connected to the inner conductor and the negative terminal to the shield , the current will flow through the whole...
Homework Statement
Coaxial cable has double layered dielectric.
a=2mm, b=4mm, c=8mm, εr1=3, εr2=4.5, Uab=1000V
1. Calculate capacitance per unit length of a cable.
2. Calculate inner and outer charge densities of a cable.
2. Homework Equations
Gauss law
C'=Q'/U
σ = nD
σp = nP
3. The Attempt...
Homework Statement
1)Find the EM fields that go through a coaxial waveguide (inner radius equals a, outer radius equals b) filled with a dielectric material where both TE and TM modes propagates.
2)Find the cutoff frequency.
3)Find the cutoff frequency if we close both ends of the waveguide...
Homework Statement
How to determine maximum voltage that coaxial cable, whose height is L and is filled with dielectric in such way that E is the same in the dielectric and in the part of the cable that isn't filled with dielectric (only vacuum),can handle if i have maximum electric field that...
Dear All,
I am trying do find the minimal surface of revolution between two coaxial circular rings of DIFFERENT diameter.
I could not find it solved in the net. So I tried to solve numerically system (13-14) Minimal Surface of Revolution -- from Wolfram MathWorld
to determine "a" and "b" for...
1. A very large loop of metal wire with radius 1meter is driven with a linearly increasing current at a rate of 200amps/second . A very small metal wire loop with radius 5centimeter is positioned a small distance away with its center on the same axis (the loops are coaxial). The small loop...
I am working on a problem of electrostatics, and I am having troubles in trying to figure out one part of it.
1. Homework Statement
It consists of an inner solid cylinder of radius ##a## with a voltage ##V_A##, and an outer coaxial cylindrical shell of inner radius ##b## and outer radius ##c##...
Homework Statement :
[/B]
Co-axial cable, relative permittivity, capacitance, internal energy
A long straight co-axial cable of length 1 consists of an inner conductor of radius r1 and a thin outer conductor or radius r2. The dielectric between the conductors has a relative permittivity εr...
The question asks to find the potential of the ungrounded outer conducting sheath of a coaxial cable when the inner conductor has a voltage of \frac{220}{\sqrt{3}} kV.
Coaxial conditions:
i) Central copper conductor of diameter 4.8 cm.
ii) Insulating layer of XPLE of thickness 2.3 cm and...
Homework Statement
https://scontent-b.xx.fbcdn.net/hphotos-xpa1/v/t1.0-9/10846336_1517298108546407_4211362504714893270_n.jpg?oh=2f11c165933554a0e4003b398c877004&oe=5542789C
Homework Equations
∫B⋅nda = Iencμo
Ienc=∫J⋅da
The Attempt at a Solution
For r < a:
Ienc = I...
Homework Statement
A capacitor made of a round solid bar and a thin round tube are coaxial, they are very long. the radii of the bar is ra and of the tube rb. they are both charged with λ, the charge per unit length, with opposite charges. what is the potential difference.
Homework Equations...
Hi. In this task we're asked to calculate the magnetic field inside the small cylinder (0>r>r1). The answer is zero, which I don't quite understand...Here is the picture:
http://bildr.no/image/WTJ1VG5F.jpeg
As the picture shows there's a current I going through the inner cylinder. Wouldn't this...
Quick question - is the lift generated by coaxial contrarotating blades equal to the lift generated by each individual lifting surface (simplified to lift x 2), or is there a more comprehensive formula available?
Currently, I am using the following formula to calculate the lift of a single...
Homework Statement
Show that (Grad dot E) =0 in the dielectric of a coaxial line.
(Hint: apply the divergence theorem to a portion of the dielectric.)
Homework Equations
Divergence theorem
The Attempt at a Solution
I think I need to show that grad dot E = p/epsilon = 0
I don't know - I'm...
A real incompressible fluid is contained in the region between two coaxial cylinders of radii R1 and R2. The outsider cylinder rotates with angular velocity w, in stationary regime, and the flow is purely circular. Neglect the action of gravity.
a) Show that vφ (azimuthal velocity component)...
What is the equation (and derivation of equation) to work out the resonant frequency of a coaxial cable? Given that the cable has a resistance, capacitance and inductance per meter which are known.
Links and explanations are much appreciated
Thanks :smile:
Homework Statement
A long coaxial cable carries current I. The current flows down the surface of the inner cylinder (of radius a) and back along the outer cylinder (of radius b). Calculate the power transported down the wire.
Homework Equations
The Poynting vector is given by...
conflicting results.
find the potential between the two conductors of a coaxial cable
I have already found E... E = lambda / 2 pi r epsilon
my question: What are the integration limits for finding the potential between the conductors?
say we have a radius a (inner conductor)...
Homework Statement
Determine the insulation resistance in a coaxial cable of length L, with conductivity, as shown in Figure assume that the current density J is radial direction.
The Attempt at a Solution
so i was wondering if this approach is correct,
consider a sequence of...
Homework Statement
Determine the insulation resistance in a coaxial cable of length L, with conductivity, as shown in Figure assume that the current density J is radial direction.
The Attempt at a Solution
so i was wondering if this approach is correct,
consider a sequence of...
Homework Statement
We measured the time between a signal source, and it's reflection coming back through our probe after going through an open-ended coaxial cable.
My teacher told us this: the cable has a polyethylene insulator between central wire and the grounding web, which has a...
For question 4b in the problem sheet attached below, is my working correct for B outside and inside the coaxial cable?
Ans:
Outside coaxial:∫B.dl = μI (the integral is between 0 and 2∏r)
=> B = (μI)/(2∏r)
Inside the coaxial: \int_{2\pi a}^{2\pi r} B.dI
= μI.\frac{a^2}{\pi...
A coaxial cable is modeled as a long thin cylindrical shell with radius b concentric with a solid wire of radius a (the wire is inside the shell). Calculate the inductance of a length l of this cable.
(Example 32.5 Here) ---> https://echsphysics.wikispaces.com/file/view/APPhysicsCH32.pdf...
Hey Guys,
How do I work out Transmission loses and input impedance for coaxial cable?
I’ve been given this website to use http://fermi.la.asu.edu/w9cf/tran/
I do have the characteristic impedance of 75Ω and frequency and I am asked to work the attenuation in dB/100ft and “input...
Homework Statement
A coaxial cable with inner radius a and outer radius b lies on the z-axis (such that the cable's axis merges with the z-axis). its length (along z-axis) is L. at z=-L there are voltage sources that are distributed uniformly connecting the inner wire to the outer one. at...
Can anyone help me understand why two coaxial solenoids separated by a distance x, with current flowing in the same direction in each solenoid, would be attracted to each other using the right hand rule?
Im sure they would be attracted to one another (with the current flowing in the same...
Homework Statement
We need to connect two coax cables with the same dielectric (εr = 9) but
with different dimensions as shown. How big must be the radius of the
outer conductor of the second line in order to match two lines?
How would the velocity of the wave propagation change, if we...
Homework Statement
I can't seem to understand this problem (I do see that the inner cylinder and outer shell will have the same charge, but I can't see what I'm supposed to assume about the middle shell):
A cable consists of three conductors, a solid inner cylinder and two thin...
Homework Statement
Determine the resistance of the insulation in a length l of coaxial cable.inner radius = a and outer radius= b.Homework Equations
R=\rho\frac{l}{A}
Area= \pi (b^2 - a^2)
The Attempt at a Solution
I calculated the area between the two concentric 'circle' with radius 'a'...
1. Homework Statement
A long coaxial cable consists of an inner solid cylinder, radius a, and an outer thin coaxial cylindrical shell, radius b. The outer shell carries a uniform surface charge density σ.
Find the uniform volume charge density ρ that the inner cylinder must have in order...
Homework Statement
http://grephysics.net/ans/9277/9
I'm confused why these two currents cancel each other out perfectly when the distance they are being measured from is closer to the outside current than the inside current...
Like if the magnetic induction is proportional to the...
The diagram I've attached shows a cross-section view of a very long straight metal cylinder of radius r1 within a coaxial hollow metal cylinder of inner radius r2 and outer radius r3. The inner cylinder has
a positive charge per unit length λ, whereas the outer cylinder has negative charge per...
Book for Coaxial cable impedance problem in Physics GRE
This is GR9277, Problem 18.
Is this covered in any physics undergraduate course?
What subject is this problem belong to?
What book do you recommend for studying this?
How can I make the picture appear bigger?
Homework Statement
The figure below shows a short coil which is coaxial with a very long solenoid (you may approximate it as infinite.)
Coil: Has 120 turns of radius 1.8 cm and resistance 5.8 . It is not attached to anything.
Solenoid: Has 22700 turns/m and a radius of 1.6 cm. It receives an...
Homework Statement
two very long coaxial cylinders. Inner has radius a and is solid with charge per unit length of λ. Volume is also uniform but not defined by a parameter. Outer is hollow with inner radius b and outer radius c. Outer cylinder is a conductor with charge per unit length of -2λ...
Homework Statement
Not sure if I'm correct or wrong..because usually M12 = M21
The Attempt at a Solution
Here coil 1 and coil 2 are coaxial, with coil 2 being shorter and having smaller area.
Homework Statement
A long coaxial cable consists of two concentric conductors with dimensions a = 1.20 cm, b = 5.40 cm and c = 7.30 cm. There are equal and opposite currents of 5.00 A in the conductors. Find the magnitude of the magnetic field at a distance of 0.36 cm from the center axis...
Homework Statement
Two very long coaxial cylindrical conductors are shown in cross-section above. The inner cylinder has radius a = 2 cm and caries a total current of I1 = 1.2 A in the positive z-direction (pointing out of the screen). The outer cylinder has an inner radius b = 4 cm, outer...
1. A coaxial cable is powering a light bulb with a steady flow of current (DC current). The electric potential difference between the outer and the inner conductor of the cable is delta V and the current flowing in the cable is I. The inner conductor's outer radius is a and the outer conductor's...
Hi All,
Consider a situation in which a coaxial cable have electric current i(t) = Imax * cos(w*t) flowing through its cilindrical inner cylindrical core (with radius a) and the inverse current flowing on its surface cover (with radius b).
I would like to know if it is correct to say that...
Homework Statement
There are 2 coaxial cylindrical conductors. The inner cylinder has radius a, while the outer cylinder has radius b. There is no charge in the region a < r < b. If the inner cylinder is at potential Vo and the outer cylinder is grounded, we want to find the potential in...
Homework Statement
Fromm Griffiths
Two long coaxial cylindrical metal tubes (inner radius a, outer radius b) stand vertically in a tank of dielectric oil (susceptibility \chi_{epsilon}, mass density \rho. The inner one is maintained at potential V, and the outer one is grounded. To what...
Homework Statement
A long coaxial cable consists of an inner solid cylinder, radius a, and an outer thin coaxial cylindrical shell, radius b. The outer shell carries a uniform surface charge density σ.
Find the uniform volume charge density ρ that the inner cylinder must have in order that...
Hi all,
I'm a mechanical engineering student and I need your help with a project as I'm somewhat not familiar to electrical stuff.
I'd like to use coaxial power connectors (like the ones in laptops power input) to transmit 220 V, 15 A AC through them. The power source is fixed but the...
I am trying to calculate the maximum power of a coaxial cable, based on heat transfer parameters and limiting temperatures of cable components. I've determined that a certain heat load on the conductor surface (in Watts per inch of cable) will put the dielectric above its operating temperature...
http://en.wikipedia.org/wiki/Coaxial_cable
http://en.wikipedia.org/wiki/Poynting_vector
Could a coaxial cable be used for electric current instead of radio signals?
'For example, the Poynting vector within the dielectric insulator of a coaxial cable is nearly parallel to the wire axis...
Homework Statement
Two coaxial circular coils of radius R = 15 cm, each carrying 4.0 A in the same direction, are positioned a distance d = 20 cm apart, as shown in the figure. Calculate the magnitude of the magnetic field halfway between the coils along the line connecting their centers. (μ0 =...
Is it any model on resisivity of two tightly-attached coaxial cylinder? For example, a copper core wire is coated with layer of aluminum. How to calculate the final resistivity along axis?