Question

Two types of dielectric material are inserted between cylindrical conductors with radius a, length L, and radius c, length L (Figure 6).
Calculate the following when the dielectric rate of a section (a<ρ≤b) is εb, and the dielectric rate of section (b<ρ<c)

Top View 그림 4


a) When an internal conductor has a charge of Q, an external conductor has a charge of -Q, calculate the inside surface charge density of ρa and the outer surface charge density of ρc respectively.

b) Find Electric Field E in Zone (a<ρ≤b) and (b<ρ<c) respectively.

c) Find the potential difference between the two conductors

d) Use the above results to obtain Capacitance.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Gutuarl The tenductes be fillid ch a dielectric uith Internal educe hau +e Extenal cenducte ouu 0 ds 2T1PL Pa 2 TTaL Θ: Pc.ds2TPL 2TT CL 2TcL Eb2TPL :3 า。diu, 와 ne c: cenduct0 2TTEc PL tebal diffexana betw ne tu cenductey др | dpAP dn 2TTEL a

Add a comment
Know the answer?
Add Answer to:
Two types of dielectric material are inserted between cylindrical conductors with radius a, length L, and radius c, leng...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Two types of dielectric material are inserted between cylindrical conductors with radius a, length L, and...

    Two types of dielectric material are inserted between cylindrical conductors with radius a, length L, and radius c, length L (Figure 6).  Calculate the following when the dielectric rate of a section (a<ρ≤b) is εb, and the dielectric rate of section (b<ρ<c) is εc. a)When an internal conductor has a charge of Q, an external conductor has a charge of -Q, calculate the inside surface charge density of ρa and the outer surface charge density of ρc respectively. b)Find Electric...

  • Potential difference between two conductors?

    A coaxial cable consists of a long cylindrical conductor of radius a=1 mmconcentric with a thin cylindrical shell of larger radius b=5 mm. If the central conductor has a charge per unit length ?=Q/L=1 micro(C)/m uniformly distributed on itssurface, what is the potential difference between the inner and outer conductors?

  • A long, cylindrical non-conductor of radius R and length L is placed with it long axis...

    A long, cylindrical non-conductor of radius R and length L is placed with it long axis along the Z-axis as shown The cylinder has a total charge Q distributed non-uniformly thrpughout its volume. The charge density is only a function of the radial distance "r" from the cylinder axis and varies as ρ(r):- where α is a constant Vr. 2 +9R2 c) What coordinate system will you use? L (xy,z), (p,o,Z), (,o,)) d) What variables will the magnitude of the...

  • A coaxial capacitor (cylindrical shape) is filled with two coaxial dielectric lasers. The relative permittivity of...

    A coaxial capacitor (cylindrical shape) is filled with two coaxial dielectric lasers. The relative permittivity of the layer near the inner electrode of the capacitor is epsilon_r|, and that of the other laser is epsilon_r2. The radius of the inner electrode is a, the radius of the boundary surface between the layers is b, and the inner radius of the outer electrode is c. Calculate the capacitance per unit length of the cable. If the voltage between the inner and...

  • Show the steps. Thank you 9. An isolated spherical spherical capacitor has charge +Q on its...

    Show the steps. Thank you 9. An isolated spherical spherical capacitor has charge +Q on its inner conductor (radius ra) and charge-Q on is outer conductor (radius rb). Half of the volume between the conductors is then filled with a liquid dielectric of constant K. Given [ra, Tb, Q, K] Determine: a. the capacitance of the half filled capacitor. b. The Electric Field in the volume between the two conductors as a function of distance r from the center of...

  • The Baltic cable connects the power grids of Germany and Sweden beneath the Baltic sea. Assume th...

    The Baltic cable connects the power grids of Germany and Sweden beneath the Baltic sea. Assume the cross section of the cable looks as in the figure below. The coaxial cable has a cylindrical inner conductor, radius a and an outer conductor, radius b, with polyethylene (relative dielectric constant of 2.5; high dielectric breakdown strength) in between. The outer conductor is surrounded by a waterproof insulator (not shown). Assume that each conductor holds charge ±Q per unit length. 5. The...

  • A coaxial cable of length 1 = 4m consists of a solid cylindrical conductor surrounded by...

    A coaxial cable of length 1 = 4m consists of a solid cylindrical conductor surrounded by a cylindrical conducting shell. The inner conductor has a radius ry = 2mm and carries a charge Q, while the surrounding shell has a radius ra = 8mm and carries a charge -Q. Assume that Q = +8 x 10-8C and that air fills the gap between the conductors. (a) What is the capacitance of this cable? (b) What is the magnitude of the...

  • The figure to the right shows a cylindrical capacitor with inner radius b and outer radius a. Between the cylinders (shaded region) is a dielectric of constant k.

    The figure to the right shows a cylindrical capacitor with inner radius b and outer radius a. Between the cylinders (shaded region) is a dielectric of constant k. If the inner cylinder contains charge +Q and out charge -Q determine an expression for: The electric field in the region between the cylinders. The potential difference between in the region between the cylinders. The capacitance of the capacitor. The energy density of the capacitor

  • Two conducting concentric, cylindrical shells are separated by a dielectric of permittivity E. This is the...

    Two conducting concentric, cylindrical shells are separated by a dielectric of permittivity E. This is the common form of coaxial cables where the dielectric is the insulating material between the conductors. A total charge + Q is distributed uniformly per unit length of the inner shell. Calculate the polarization vector inside the dielectric. Or Please choose one: a. (Q / 41r) (€ -e) a b. (Qe / 49tr) (1 +E / €) a c. (Q/21 is) (1-€ /ɛ) to D....

  • Perfect conductor Pe= 4.5x10 C/m? 2.8 2 cm Perfect dielectric Perfect conductor Figure 2. Dielectric separated...

    Perfect conductor Pe= 4.5x10 C/m? 2.8 2 cm Perfect dielectric Perfect conductor Figure 2. Dielectric separated by two perfect conductors. A perfect dielectric is separated by two perfect-conductor plates as in Figure.2. On the surface of the top plate there is a uniform surface charge density of 4.5 x 10+ C/m2 as shown. In the perfect dielectric region the electric field is uniformly distributed. (25) a) Calculate the electric field intensity and discuss if there is a breakdown in the...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT