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An electric field in a given region of space is given by E-2.5x2i (in N/C). What...
An electric field in a given region of space is given by E=3.1x2i (in N/C). What is the magnitude of the potential difference between two points x=0 m and x=7.5 m, i.e. |V(x=7.5m)-V(x=0 m )|?
In the region of space depicted below, a uniform electric field of 12 N/C points in the +y direction. If a particle starts at the white circle on the x-axis, to which point would it move to have its electric potential decrease the most? Between which pairs of points is there zero potential difference? Explain ●E 8 ●F
In some region of space, the electric field is given by E = Axi + By2j. Find the electric potential difference between points whose positions are (xi, yi) = (a, 0) and (xf, yf) = (0, b). The constants A, B, a, and b have the appropriate SI units. (Use the following as necessary: A, B, a, and b.)
At a given region in space, the electric field is E = 5.89 ✕ 103 N C · m2 x2î. Note that when x is in m, E will be in N/C. Electric charges in this region are at rest. Determine the volume density of electric charge (in nC/m3) at x = 0.320 m. Suggestion: Apply Gauss's law to a box between x = 0.320 m and x = 0.320 m + dx. nC/m3
6. The electric field in the region of space shown is given by E (8i+2yj) N/C where y is in m. What is the magnitude of the electric flux through the top face of the cube shown? 2n 7. a a Charge of uniform linear density (4.0 nC/m) is distributed along the entire x axis. Determine the magnitude of the electric field on the y axis at y-2.5 m.
3.4 The electric field in a region of space is zero for x < 0 and x 〉 9 m, and is Ezー-80 V/m for 0 〈 x 〈 3.0 m and is Ez +40 V/m for 3.0 〈 x 〈 9.0 m. (a) If the potential at zero for x 0 make a quantitative sketch of the electric potential for-1.0 〈 x 〈 10 m. (b) What distribution of charges produces the electric field? Hints: What type of charge...
5. The electric field in a certain region of space is given by the vector field Vector E(Vector r)= Vector E(x,y,z)= (x-z)hatx+(z-y)haty V/m Find any two points P(x1,y1,z1) and Q(x2,y2,z2) such that the electric field at P is perpendicular to the electric field at Q. Evaluate the electric field at each of these two points. (Hint: Use the dot product.).
A region of space has a non-uniform electric field that points in the +x-direction and has magnitude as shown in the figure (Figure 1) As a reference point, take the potential at the origin to be -100 V. Calculate the electric potential at x = 3.0 m. Express your answer to two significant figures and include the appropriate units.
The electric potential over a certain region of space is given by V = a x? y – bxz – cy?, where a = 8 V/mº, b = 6 V/m², and c = 3 V/m². Find the electric potential at the point (x, y, z) = (1 m, 6 m, 6 m). Answer in units of V. 008 (part 2 of 4) 10.0 points Find the x-component of the electric field at the same point. Answer in units of V/m....
4. A 219 LaTeX: \mu Cμ C point charge placed in an electric field region. The electric field applied a force of 0.66 N. Determine the magnitude of the electric field in that region. 5. Two charged plates are separated by a distance of 12 cm, and the potential difference between them is -57.6 V. Determine the electric field between the two plates.