An infinitely long insulating cylinder has radius a and volume charge density ρ. This cylinder is surrounded by a neutral conducting cylindrical shell which is also infinitely long. The inner radius of the shell is b1 and the outer radius is b2. For this problem, we will set the electric potential equal to zero along the outer surface of the conducting shell, along the radius of b2. 1) What is the electric potential a radial distance of 10 cm from the center of the cylinders? 2)What is the electric potential at a radius of 7 cm? 3)What is the electric potential at the center of the non-conducting cylinder? 4)When working with spherical symmetries, we tend to use infinity as the reference point where the potential is zero. Why could we not choose infinity as the zero of potential in this particular problem?

An infinitely long insulating cylinder has radius a and volume charge density ρ. This cylinder is surrounded by a neutral conducting cylindrical shell which is also infinitely long. The inner radius of the shell is b1 and the outer radius is b2. For this problem, we will set the electric potential equal to zero along the outer surface of the conducting shell, along the radius of b2. 1) What is the electric potential a radial distance of 10 cm from the center of the cylinders? 2)What is the electric potential at a radius of 7 cm? 3)What is the electric potential at the center of the non-conducting cylinder? 4)When working with spherical symmetries, we tend to use infinity as the reference point where the potential is zero. Why could we not choose infinity as the zero of potential in this particular problem?

Similar questions

a-d please
Three concentric conducting spherical shells of radii r, 2r, and 3r are charged with net electric charges q, 2q and -3q respectively. Find the electric potential of each shell. Assume Vo = kq r = 15V. The potential at r, V₁ = The potential at 2r, V₂ = The potential at 3r, V3 = Units Select an answer ✓ Units Select an answer ✓ Units Select an answer ✓
A positive charge (q=+6.0 µC) starts from point A in a constant electric field and accelerates to point B. The work done by the electric force is WAB = +2.6 × 103 J. Determine the potential difference VB - VA between the two points. Be sure to include the proper algebraic sign. A B E E
The electric potential in a particular area varies with position as V(x) = ax2 - bx + c, where a = 2.9 V/m2, b = 13 V/m, and c = 11 V. Find the electric field vector E in this area in terms of the given variables. Be sure to include a unit vector for direction. What is the magnitude of the electric field, in volts per meter, at x = 1.0 m? What is the direction of the electric field at x = 1.0 m? What is the magnitude of the electric field, in volts per meter, at x = 5.0 m? What is the direction of the electric field at x = 5.0 m?
The electric potential along the r-axis is V = 100e 2 V, where a is in meters. You may want to review (Pages 717 - 720). Part A What is E, at a =1.0 m? Express your answer as an integer and include the appropriate units. HA ? E = Value Units Part B What is Ez at x = 2.5m? Express your answer to two significant figures and include the appropriate units. HÀ ? E = Value Units
Two point charges Q₁ = +5.30 nC and Q2 = -1.60 nC are separated by 55.0 cm. (a) What is the electric potential at a point midway between the charges? V (b) What is the potential energy of the pair of charges? J What is the significance of the algebraic sign of your answer? Positive work must be done to separate the charges. O Negative work must be done to separate the charges.
A uniform electric field of magnitude 295 V/m is directed in the negative y direction as shown in the figure below. The coordinates of point are (-0.500,-0.600) m, and those of point Bare (0.700, 0.450) m. Calculate the electric potential difference VB - V₁ using the dashed-line path. V E
The electric potential in a region of space is given by the equation v(x, y) = 3 In(x + \x² +y %3D where x and y are given in meters. The coordintates of four separate points A to D are listed below. Rank these 4 points in terms of the magnitude of the electric field at that point. The point with the greatest magnitude should be ranked first and the one with the least magnitude should be ranked fourth. Point A (0,1) 1 Point B (1,0) 1 Point C (-1, 1) 1 Point D (1,-1) 1
Let A=(x1,y1) and B=(x2,y2) be two points near and on the same side of a positively charged sheet with a uniform surface charge density. The electric field E⃗ due to such a charged sheet has the same magnitude everywhere and points away from the sheet, as shown in Figure 1. What is the potential difference VAB=VA−VB between points A and B? Express your answer in terms of some or all of the quantities E, x1, y1, x2, and y2.
An object with charge q = -7.00x10-9 C is placed in a region of uniform electric field and is released from rest at point A. After the charge has moved to point B, 0.500 m to the right, it has kinetic energy 5.00x10-7 J. Part A If the electric potential at point A is +30.0 V, what is the electric potential at point B? Express your answer with the appropriate units. μΑ ? VB = Value Units Part B What is the magnitude of the electric field? Express your answer with the appropriate units. HA ? E = Value Units
13
Two conducting concentric spherical shells have radii a = 0.165 m and b = 0.24 m. Part (a) If the charge in the inner sphere is +Q = 3 µC, the outer sphere -Q = -3 µC, calculate the electric potential difference△V between the outside and the inside conductors in V.