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: Three point charges of -2.00 µC, +4.00 µC, and +6.00 µC are placed along the x-axis as shown in the…

A: Given, the three-point charges are placed along the x-axis. This situation is depicted in the…

Q: An air-filled capacitor consists of two parallel plates, each with an area of 7.6 cm2, separated by…

A: Given, An air-filled capacitor Area of each plate=7.6 cm2 the separation between plates =D=1.8 mm…

Q: Two large parallel conducting plates are seperated by d-8.0 cm distance and carry equal but opposite…

A: When two parallel plates are connected across a battery, the surface of the plates are charged equal…

Q: Two 5.0-cm-diameter conducting spheres are 8.0 m apart, and each carries 0.12 mC. Determine (a) the…

A: Given: radius of each sphere R1=R2=5/2 cm =2.5 cm=0.025 m charge on each sphere q1=q2 = 0.12 mC =…

Q: A proton comes from rest in a uniform electric field of 400 V/m directed along the +X axis. The…

A:

Q: For the electric dipole shown below, what is the electric potential (in V) at the point (0, 1.0 cm)?…

A: We know,     .← r →.    Q          P   VP = KQr

Q: Consider an electron is released from rest in a uniform electric field whose magnitude is 4.10 x…

A: Given: The strength of the electric field is 4.1x103 V/m. The distance is 1.2 cm.

Q: An extremely long thin wire carries a uniform linear charge density of 358 nC/m. Find the potential…

A:

Q: The magnitude of the uniform electric field along the -y-axis is 275 V/m. Coordinates of point A…

A: Strength of the electric field,  Coordinates of A,  Coordinates of B,

Q: What charge (in µC) is stored on C3 if the potential difference between points a and b is 60.0 V?…

A:

Q: A cylindrical air capacitor of 15.0 m length stores of energy 3.2 x 10-) when the potential…

A: Given Data : The length of the cylindrical air capacitor is given as L = 15m. The potential…

Q: An ideal parallel-plate capacitor has a plate area of 27.75 cm² and capacitance of 66.0 pF. If the…

A:

Q: A particle with a charge of -1.8 μC and a mass of 1.2 x 10-6 kg is released from rest at point A and…

A: Charge q = -1.8 x 10-6 C Mass m = 1.2 x 10-6 kg Initial velocity u = 0 m/s Final velocity v = 21 m/s

Q: Consider two distinct equipotential surfaces in an electrostatic field (meaning that points of the…

A: solution is given by

Q: Which of the following is the electrical potential energy stored in a capacitor of capacitance C,…

A: Given data: Capacitance is C Voltage difference is ∆V Charge is Q

Q: A particle with a charge of -2.0 µC and a mass of 3.2 x 106 kg is released from rest at point A and…

A: According to work energy theorem Work done= change in kinetic energy

Q: A small object with a charge of q = 14.0 µC travels from the origin to the point (x, y) = (20.0 cm,…

A:

Q: A particle with a charge of q = 10.0 µC travels from the origin to the point (x, y) = (20.0 cm, 50.0…

A:

Q: If 500 J of work are required to carry a charged particle between two points with a potential…

A:

Q: An air-filled capacitor consists of two parallel plates, each with an area of 7.6 cm2, separated by…

A: Given: Air filled parallel plate capacitor with Area A = 7.6 cm2 =7.6×10-4 m2 The separation is d =…

Q: A system of three point charges has a 1.00 µC charge at the origin, a −2.00 µC charge at x=30 cm,…

A: The potential energy of a system of three charges q1,q2,q3 is given by, U=kq1q2r12+kq1q3r13+kq2q3r23…

Q: A small object with a charge of q = 12.0 C travels from the origin to the point (x, y) = (20.0 cm,…

A: (a) The change in electric potential  ∆U = -q ∫ABE.ds       = -q∫ABEi^.ds       = -qE∫x1x2 dx =…

Q: Suppose that an electric field has the following components: Ex=6x^2yz^2, Ey=2x^3z^2+2yz,…

A: Ans:- Image-1

Q: The yz-plane contains a uniform shee of charge with ps1=5 pC/m2 , A second sheet with ps2=-4 pC/m2…

A: Given  ps1 = 5 pC/m²  ps2 = -4pC/m²  Plane s1 at x = 0  Plane s2 at x = 6 m  Vab =???? Where a =…

Q: A small object with a charge of q = 12.0 µC travels from the origin to the point (x, y) = (20.0 cm,…

A: SOlution: Given that q = 12 micro C distance travel (0,0) to (20,50) E=270 i V/m

Q: Given the electrical potential V = 2xyz^2 – 3xy^3 in a region, what is the magnitude of the electric…

A:

Q: The magnitude of the uniform electric field along the -y-axis is 275 V / m. Coordinates of point A |…

A: Given : Electric field along -y direction, E→=-275j^V/m Co-ordinate of A(-0.1, -0.3)m and B(0.2,…

Q: Each plate of a parallel-plate capacitor is circular and has diameter 24.0 cm. The plates are 15.0…

A: diameter = 24 cm distance between plates (d) = 15 μmCharge (Q) = ± 8μC

Q: A proton is placed between the plates of a large parallel plate capacitor. When the proton is a…

A: Write the value of electric field.   E=4 N/C   Write the distance between two parallel plates.…

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:

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: What is the magnitude, in volts, of the maximum potential difference between two parallel conducting…

A: Given: The strength of the electric field is 3x106 V/m. The separation between plates is 0.51 cm.

Q: The semi-circular ring with a radius of R=10 cm has a linear charge density of λ= 8.85 pC/m. in the…

A:

Q: A solid metallic sphere has a charge of -2.00 nC and the surface is being held at a potential of…

A:

Q: Consider an electric field given by E = (4.0i + 3.0j)N/C.Determine the absolute value of the…

A: The displacement vector between the points is given by, d→ = (5-2)i^ + (7-3)j^ = 3i^ + 4j^ The…

Q: What is the charge carried by a 5 m long coaxial cable whose outer radius is 5 times larger than its…

A:

Q: electron at rest is accelerated from point A by a potential difference ΔV1. It then enters the…

A: according to work energy theorem  Work done  = change in kinetic energy

Q: Equipotential Lines of Two Wires Y A B |C D 1V 3V 6V 8V 13. Which of the following can be TRUE about…

A: the equipotential lines of two wires are as shown in the figure. The X wire is to the left of…

Q: A 31 m length of coaxial cable has a solid cylindrical wire inner conductor with a di- ameter of…

A:

Q: 1. A uniform insulating sphere of radius a with charge Q1 0.8 nC 11.0 cm conducting spherical shell…

A: Given: In an insulating sphere,   charge, Q1=0.8 nC  radius, a=11.0 cm and In a conducting shell :…

Q: If 500 J of work are required to carry a charged particle between two points with a potential…

A: Given: The work required is 500 J. The electrical potential difference is 20 V.

Q: A particle with a charge of -3.6 μC and a mass of 4.4 x 10-6 kg is released from rest at point A and…

A: charge = q = 3.6 x 10-6 c mass =m = 4.4 x 10-6 kg

Q: In a dielectric medium with ɛ, = 4, the electric field is given by É = 2£ – 3ŷ – 2 (V/m). Calculate…

A: permitivitty of the medium (εr) = 4Electric field (E) = 2x^ - 3y^ -z^region bounded : 0 m< x<…

Q: The graph and data of experimental equipotential lines for an electric dipole consisting of 2…

A: Equipotential surfaces/lines are one in which moving a charge particle required no work done.  But…

Q: An air-filled capacitor consists of two parallel plates, each with an area of 7.6 cm2, separated by…

A: Given : A = 7.6 cm2 = 7.6 × 10-4 m2 d = 1.8 mm = 0.0018 m V = 20 V

Q: Two materials with thicknesses and dielectric constants d1 = 5cm, K1 = 5 and d2 = 6cm, K2 = 6 are…

A: Dielectric 1 , dielectric constant, k1 = 5 thickness, d1 = 0.05 m Dielectric 2,  dielectric…

Q: In which of the following diagrams below is the magnitude of the electric POTENTIAL greatest at the…

A: Electric potential is given as:- V=KQ/R. Here, V = electric potential K= constant, Q= total charge.…

Q: The electrical potential in a given region of space is given as V(x.y.z) = 3x - 4xy^2 + 5yz^3.…

A: We can calculate the  electric field E→ from the potential V(x,y,z) by using the following relation,…

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.