QUESTION 3 A sphere of radius 0.3000m has volume charge density: p-(0.2C/m)r for r< 0.3000m, and p=0 for r>0.3000m. Calculate the electric potential, in volts, at a distance of 0.300m from the center. QUESTION 4 Calculate the electric potential at a distance of 0.0300m from the center, in volts.

Q: The charge density on a disk of radius R = 12.2 cm is given by aar, with a = 1.48 µC/m³ and r…

A: Given data  R = 0.122 m  a = 1.48×10-6 cm3y  = 36 ×1100 = 0.36 mε° = 8.85 ×× 10-12c2Nm2

Q: 1) What is the electric potential due to the nucleus of hydrogen at a distance of 8.50×10-11 m?…

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Q: 9 пC q = -9 nC b 2.0 cm

A: Use field potential relation

Q: For the potential V= 3x2z - 2yz3 , what is the corresponding electric field at the point (2,3,-4)?

A: Given V = 3x2z - 2yz3 P = &lt;2,3,-4&gt;

Q: For a spherical surface with radius 0.15 m and is charged by 38 nC, the electric Potential V at r =…

A: Given: The radius of the spherical surface is 0.15 m. The charge is 38 nC. The distance of the point…

Q: A vacuum tube, in its simplest conceptual form, is a parallel- 12 plate capacitor enclosed in a…

A: When a potential difference is applied across the plates of the capacitor, an electric will be…

Q: potential energy of the spherical system!

A: Given Data : Charge density p(r) = p0r2        (in spherical polar Coordinates) To Find : potential…

Q: A capacitor with parallel plates, of area A and separation 2a, is connected to a potential…

A: For a parallel plate capacitor, the capacity is C =kε0Ad where A =area of the capacitor, d…

Q: A disk of radius a has a total charge Q uniformly distributed over its surface. The disk has…

A: (a)   Let us consider a ring with radius r        Charge on ring       dq  = σ(2πr) dr .…

Q: A spherical conductor has a radius of 14 cm and a charge of 20 µc. Calculate the electric field and…

A: In any conducting body like cylinder and shell the charge exist only on the surface of the body. At…

Q: There is a thin metallic disk of radius R=8cm and non-uniform surface charge density given by: :…

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Q: Given the potential function in free space to be, V(x) = (50x² +50y² + 50z²) volts, the magnitude…

A: Given: Potential function in free space. Vx,y,z=50x2+50y2+50z2 The magnitude and direction of…

Q: If the electric field in the region is given as E = 1 (z ax – y ay + x az) V/m. Determine the…

A: Consider the given data as below. Electric field, E=1zax-yay+xaz   The electric field is, E=Vd At…

Q: A parallel-plate capacitor in air has a plate separation of 1.35 cm and a plate area of 35.0 cm2.…

A: Given that :            A = 35 cm2 =35x10-4m2            d =1.35 cm =1.35 x 10-2 m           V = 150…

Q: The electric potential in a certain region is V = α x^2y^2 + β z^2(x^2 − γ) + δ y^3z , where α = 8…

A: Given: The Electric potential in a certain region V=αx2y2+βz2(x2-γ)+δy3zwhere:α=8 V/m4 , β=4.6 V/m4…

Q: For the potential xy2−3x, what is the corresponding electric field at the point (7,10)?

A:

Q: Charge Q-8.0x10" C is distributed uniformly throughout a spherical insulating shell of radius R =…

A: Charge Radius Distance r = 19 cm = 0.19 m.

Q: Consider an air-filled parallel plate capac- itor with plate area A and gap width d and plate charge…

A: This question is regarding the energy stored in capacitors. The energy stored in capacitor is given…

Q: The charge density on a disk of radius  R = 11.2 cm  is given by  ? = ar,  with  a = 1.38 µC/m3…

A:

Q: Problem 9: A uniformly charged narrow ring of radius 0.12 m is cut into two equal parts and one…

A:

Q: The electric potential at a certain region is given by; V(x, y, z) = In(x²y²z?) Volts a) Find Ē(x,…

A: Electric Potential, V(x, y,z) = ln(x2y2z2) Volts Electric field will be,

Q: A parallel plate capacitor consists of square plates of area 8.0 cm2 separated by a distance of 5.0…

A: Given data: Area of the plate ,A=8cm2 = 8×10-4 m2  Initial distance of separation, d=5 mm =5 × 10-3…

Q: 4. Having found the voltage difference from knowing the electric field, we can also do the inverse,…

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Q: The charge density on a disk of radius R = 11.8 cm is given by o = ar, with a = 1.36 µC/m³ and r…

A:

Q: 3. For an infinite long rectangular tube (axb, along z axis) with the boundary conditions below,…

A: To find the  potential function we need to solve the Laplace equation ∂2V∂x2+∂2V∂y2=0    (1)…

Q: Two spherical shells have a common center. The inner shell has radius R1 = 5,00 cm and charge q1 =…

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Q: Determine the electric potential at point P (assume P is 1/2 way point.)

A: Step 1: Step 2: Step 3: Step 4:

Q: The charge density on a disk of radius R = 12.6 cm is given by d = ar, with a = 1.34 µC/m³ and r…

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Q: Calculate the electric potential 10.2 mm from a chlorine ion with a charge of -e.

A:

Q: f the electric field in the region is given as E = 4 (z ax – y ay + x az) V/m. Determine the…

A:

Q: The charge density on a disk of radius R = 12.2 cm is given by a=ar, with a = 1.34 μC/m3 and r…

A:

Q: For a spherical surface with radius 0.13 m and is charged by 49 nC, the electric Potential V at r =…

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Q: alculate the charge density that will give rise to the potential, where the potential is given - 0 =…

A: Given :  ϕ=ϕ02x2+4y2+5z2 Solution: Formula to calculate Electric field is E→ = -∇→ϕ Also, we know…

Q: A nonconducting sphere has radius R = 3.16 cm and uniformly distributed charge q = +3.44 fC. Take…

A: We have given - Radius R = 3.16 cmcharge q = +3.44 fCAccording to the Gauss's law-

Q: The electric potential on a surface is given : V = 4me, Lª y where L is a constant with dimensions…

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Q: The electric potential of a charged conducting sphere (as well as a spherical shell) can be…

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Q: A constant electric field É = (3 N/C)j is present in space. Find the work done by the electric field…

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Q: Question 3. Using the general expression V(r,0) = Eo(4,r +) P.(cos®) for the potential at a distance…

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Q: A +4.6-mC positive stationary charge. What is the electric potential 55 cm from the charge?

A: We know that Electric potential from a charge is given by  V=kqr

Q: 1. A ball of solid conductor is given an electric charge so that the magnitude of the electric…

A: this is the boundary value problem of electrostatiscs The general form of portential of a charged…

Q: The charge density on a disk of radius R = 12.2 cm is given by o = ar, with a = 1.42 µC/m³ and r…

A:

Q: 1. (a)Consider a sphere of radius a, with a uniform charge density of unity. Calculate the total…

A: Given: The radius of the sphere is, a. The charge density of the sphere is, ρ=1. The density…