Question
It has been observed that the potential function;
V (x, y, z) = - 1 V in the region x <-10
V (x, y, z) = 10/16 x + (-1) in the region -10 <x <6
V (x, y, z) = 9 V in the region 6 <x
changes only in the charged space. The potential function does not change with y and z.
Calculate the value of one of the possible charge density in this space in terms of E0.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps

Knowledge Booster
Similar questions
- Suppose the 50 turn coil in the figure below lies in the plane of the page and originally has an area of 0.230 m². It is stretched to have no area in 0.100 s. X Bin XBin X V What is the direction? clockwise X counterclockwise X X What is the magnitude (in V) of the average value of the induced emf if the uniform magnetic field points into the page and has a strength of 1.75 T? X X 192 Xarrow_forwardA parallel-plate capacitor with plates of area 500 cm² is charged to an electric potential difference, AV, and then disconnected from the voltage source. (a) Determine an expression for the original electric potential difference, AV, in terms of the capacitor variables (Q, d, A). When the plates are moved a distance D = 0.4 cm farther apart, the voltage on the plates increases by 100 volts. (b) Determine an expression for the new electric potential difference in terms of the new capacitor variables. (c) What is the charge Q on the positive plate of the capacitor? (d) By how much does the energy stored in the capacitor increase due to the movement of the plates?arrow_forwardParl D Constants A cylindrical capacitor has an inner conductor of radius 2.8 mm and an outer conductor of radius 3.2 mm. The two conductors are separated by vacuum, and the entire capacitor is 2.5 m long. The potential of the inner conductor relative to that of the outer conductor is 320 mV. Find the charge (magnitude and sign) on the inner conductor. Express your answer with the appropriate units. μA ха Хь ماه a b X.10n ☑ Q1= 336 C Submit Previous Answers Request Answer × Incorrect; Try Again; 3 attempts remaining Check that you have converted between SI units of electric charge correctly. Part C The potential of the inner conductor relative to that of the outer conductor is 320 mV. Find the charge (magnitude and sign) on the outer conductor. Express your answer with the appropriate units. HA ? Q2 Value Unitsarrow_forward
- A thin rod extends along the x-axis from x = −a to x = a . The rod carries a positive charge +Q uniformly distributed along its length 2a with charge density λ, as shown in Figure attached. a) Use dV = 1/4πε0 ∫ dq/r to show that the electric potential at point P is given by: V(x) = (λ/4πε0) ln(x + a/x − a) b) What is the electric potential of the rod at x = 4a and x = 2a? c) What is the electric potential difference between x = 4a and x = 2a?arrow_forwardA cylindrical shell of radius R, and height his charged with charge that is uniformly distributed over it surface. To find the electric potential due to this shell at point Pa distance d from its right base we take, as an element, a thin ring that has a charge element: ut of dx Select one: O dq = o(2 TRdx) O dq = o(2 Trdr) O dq = p(TR?dx) dq = o(TR?dx) Two concentric conducting spherical shells of radii a and bare charged to a total charge Q. If the two shells are connected as shown. Which of the following is false? en 5 ete D out of REDMI NOTE 9 144 AI QUAD CAMERAarrow_forwardA uniform electric field pointing in positive x direction exists in a region. Let A be the origin, B be the point on the x-axis at x =1 cm and C be the point on the y-axis at y =+1 cm. Then the potentials at the points A, B and C satisfy: (a) VA VB (ce) VASV (d) V> Vcarrow_forward
arrow_back_ios
arrow_forward_ios