One of the common uses for a coaxial cable is to transmit radio frequencies. One such coaxial cable of length 47.0 m consists of an inner conducting cylinder with a radius of 1.15 mm and an outer conducting cylinder whose inner radius is 3.25 mm. The charges on the inner and outer cylinders are −7.90 µC and +7.90 µC, respectively. (a) Determine the potential difference between the two cylinders along a path from the inner cylinder to the inside edge of the outer cylinder. Use the fact that the magnitude of the electric field at a distance r from the axis of the inner cylinder is given by  E = 2kλ/r    where k is Coulomb's constant and λ is the linear charge density.   (b) If the space between the two cylinders is filled with air, determine the capacitance of the cable.

Q: Identical 45 µC charges are fixed on an x axis at x = ±3.2 m. A particle of charge q = -15 μC is…

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Q: A molecule of DNA (deoxyribonucleic acid) is 2.18 ?m long. The ends of the molecule become singly…

A: Write the given values with suitable variables. L=2.18 μm=2.18×10-6 mΔL=1.30%L=1.301002.18×10-6…

Q: A particle with charge 8.75 x 10-13 C moves a distance d = 0.30 m in a straight line between points…

A: Given that                     The charge on the particle is (q) = 8.75×10-13C…

Q: The membrane surrounding a living cell consists of an inner and an outer wall that are separated by…

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Q: An electric dipole consisting of charges of magnitude 1.80 nC separated by 6.90 um is in an electric…

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Q: uniform electric field of magnitude 400 V/m is directed in the positive x-direction. A 15 ÂµC charge…

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Q: A small object with a charge of q = 15.0 μC travels from the origin to the point (x, y) = (20.0 cm,…

A: Given data: The charge is q=15×10-6 C The position in vector form is d→=0.2i+0.5j m The unifor…

Q: Two parallel plates (with a dielectric in between) each have an area of 28.2 cm2. The E-field…

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Q: A uniform electric field of magnitude 280 V/m is directed in the positive x direction. A +14.0 µC…

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Q: Oppositely charged parallel plates are separated by 5.78 mm. A potential difference of 600 V exists…

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Q: The ammonia molecule has a dipole moment of 5.0×10−30 C·m. Ammonia molecules in the gas phase are…

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Q: What is the potential difference between two parallel conducting plates separated by 1.0 cm and…

A: Electric field between two parallel plates E = VdPotential difference  V = Ed

Q: Two large, parallel, conducting plates are 12 cm apart and have charges of equal magnitude and…

A: Given value--- separation between plates = 12 cm. electrostatics force = 4 × 10-15 N. We have to…

Q: Identical 56 µC charges are fixed on an x axis at x = ±2.5 m. A particle of charge q = -15 µC is…

A: (a) The potential at y=4.5 m due to the charges on the x axis is: Vy = 2(kQ/r) = 2kQx2+y2=2(9 x…

Q: A solid conducting sphere of radius ra is placed concentrically inside a conducting spherical shell…

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Q: Two point charges Q₁ = 3.3 μC and Q₂ = 6.8 μC are initially very far apart. They are then brought…

A: Work done = 0.08415 JExplanation:

Q: The ink drops have a mass mmm = 1.00×10−11 kg each and leave the nozzle and travel horizontally…

A: Given: Mass of ink drop=1.00×10−11 kg velocity (v)= 15.0 m/s Length of parallel deflecting plates…

Q: A conducting sphere has a radius of 0.250m andis charged to a voltage of +120.0volts. An electron…

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Q: Two parallel plates of area 100 cm2 are given charges of equal magnitudes 8.9 × 10–7 C but opposite…

A: Given:- Two parallel plates are given. To find:- Dielectric constant Magnitude of induced charge.…

Q: The constants in these equations are α = 5.2 V/m^5 and γ = 1.1 V/m^8. Using this…

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Q: An insulating sphere has a positive charge of +1.50x10-9C uniformly spread throughout its volume.…

A: charge (Q) spread throughout insulating sphere= 1.50×10-9 C q = -2.3×10-6 Cmass (m) = 1.40×10-4 kg…

Q: K -F A square parallel plate capacitor with side lengthl d = Imm, has charge Q = 6µC shown in the…

A: Given plates have length and width l=30cm=0.3m Thickness d=1mm=0.001m Q=6μC k=4

Q: An electric dipole consisting of charges of magnitude 2.70 nC separated by 6.50 µm is in an electric…

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Q: Two identical balls each having a density pare suspended from a common point by two insulating…

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Q: Three charges, q1 = 1 µC, q2 = 2 µC and q3 = 3 µC are placed in a line with 20 cm between each of…

A: We know that when two charge particles say q1 and q2 are separated by a distance r then they will…

Q: An electron is initially at rest on the surface of a spherical conductor with a radius of 0.01 m and…

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Q: Determine the total potential energy, in microjoules, stored in a parallelepiped of dimensions are 8…

A: The energy in electric field is given by, E=12∫E2 dV          (1)

Q: A charged sphere with a mass of 8.35 g is hanging from a string attached to the ceiling. When…

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Q: Two large, parallel, conducting plates are 10 cm apart and have charges of equal magnitude and…

A: a)Write the expression for the force and substitute the corresponding values to calculate the value…

Q: A small ball with charge q = 12.8 μC and mass m = 0.065 kg is suspended from the ceiling by a string…

A: Given:charge, q = 12.8 μC mass, m = 0.065 kg string of length, L = 2 mElectric field E of…

Q: A negatively charged polythene sphere of mass 3.5 × 10-15kg is held stationary between two…

A: The two parallel plates are separated by a distance of 5 mm and maintained at a PD of 80V, then both…

Q: A particle with charge 8.75 x 10-13 C moves a distance d = 0.30 m in a straight line between points…

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Q: Two spherical conductors of radius R1 = 3 cm and R2 - 10 cm, initially uncharged, are connected to…

A: Given data: The radius of spheres are, R1=3 cm R2=10 cm The total charge is Q=-8x10-9 C.

Q: A charged sphere with a mass of 8.35 g is hanging from a string attached to the ceiling. When…

A: Given, potential difference between the plates of parallel plate capacitor, ΔV = 6.35 mV mass of the…

Q: Q K F A Square parallel plate capacitor with side length I = 60cm and thickness d = 1mm, has charge…

A: Given : l =60 cm; d= 1mm; Q = 18 μC; k =7; εo = 9x 10-12 (c2Nm2)

Q: A particle of charge +9.5 µC is released from rest at the point x = 62 cm on an x axis. The particle…

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Q: Oppositely charged parallel plates are separated by 6.28 mm. A potential difference of 600 V exists…

A: Given values:Potential difference between the plates, V = 600 VDistance between the plates, d = 6.28…

Q: A pair of oppositely charged, parallel plates are separated by 3.95 mm. A potential difference of…

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Q: In one of the classic nuclear physics experiments at the beginning of the 20th century, alpha…

A: Charge on alpha particleq1 = 2e = 2 × 1.6 × 10-19 = 3.2 × 10-19 C Charge on gold nucleus q2 = 79e =…

Q: Charge of uniform density p = 62 nC/m^3 is distributed throughout a long insulating cylinder of…

A: Given: Volumetric Charge Density,ρ=62nC/m3=62×10-9C/m3Radius,R=2cm=2×10-2mRadius of point…

Q: The potential difference between a storm cloud and the ground is 2.47 x 10° V. If a bolt carrying 5…

A: Given data:  Potential difference (ΔV) = 2.47×108 V Charge (q) = 5 C Required: Magnitude of the…

Q: An electric dipole consisting of charges of magnitude 4.70 nC separated by 8.20 um is in an electric…

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Q: In one of the classic nuclear physics experiments at the beginning of the 20th century, an alpha…

A:

Q: Two identical balls each having a density pare suspended from a common point by two insulating…

A:

Q: A molecule of DNA (deoxyribonucleic acid) is 2.17⁢μm long. The ends of the molecule become singly…

A: Length (L) = 2.17 μm compression = 1 % upon being charged magnitude of charge on each end of…

Q: dentical 42 μC charges are fixed on an x axis at x = ±3.4 m. A particle of charge q = –20 μC is then…

A: Given: Q1 = 42 μC Q2 = -42 μC q = -20 μC OA=OB = 3.4 m OP = y m OQ = 4.5 m

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.