Determine the electric potential at the origin due to four 8-μC charges in free space placed at (+8m,+15m), (+15m,-8m), (-8m,-15m) and (-15m,+8m).
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- Two very large concentric spherical shells of radii a=153m and b=389 m carry uniform charges Q and -Q as shown in the figure below. If the electric field between the shells is E = k- r2 where Q=7µC, determine the potential difference between the shells; V(a)-V(b)=? Express your answer in units of Volts using zero decimal places. Please do not forget a minus sign if your answer is negative. Take the value of Coulomb constant as k=9x10° N.m2/c2. Hint: here the unit vector r is radially outward.In the figure, three thin plastic rods form quarter-circles with a common center of curvature at the origin. The uniform charges on the three rods are Q = 30 nC, Q, = 3•Q1, and Q3 = 8.Qj. What is the net electric potential at the origin due to the rods? Give your answer in volt. (ke = 1/4ne, = 9.0 x 10° Nm²/C?) y (cm) 4.아 2.0 1.0 - x (cm) %3DProblem I: Two positive charges of the same magnitude +q are placed on the x-axis at x = -1.00 m and x = +1.00 m. %3D a) Draw a sketch of the svstem showing the electric field lines and the points in space where the electric field is zero. b) Sketch a graph for the total electric potential versus x for -2.00m < x < 2.00m. v (V) 200 100 x (m) -1 -100 -200
- In a certain region of space, the electric potential is V(1, y, z) = Bzy – Cy² + Az where A, B and C are positive constants. Calculate the r, y and z components of the electric field. E, = -Cy+ 2Ar , Ey= -Cx – B , E,=0 %3D E = -3Cz + 2 Ar , E, = 0, E, = -3Cx-B %3D %3D E, = -Az + 2Br , E, = 0 , E, = - Ax – CAn electric field Ë = A(3x²y°z*i +2x°yz² j+2x°y°zk ) exists in space. Ifelectric potential at (2, 2, 2) is taken to be zero then potential at point (1, 2, 2) is (b) 64A (a) 128A (c) 32A (d) 112AConsider an infinitely long cylindrical shell with inner radius R and outer radius 2R.The volumetric charge density changes as p = 12r.Where r is the distance from the axis of the cylindrical shell. Find the potential difference between points A and B at 3R and 4R distances from the axis, respectively.
- Angle = θ = 30ºDistance (d) = 2cmElectric charge 2 (q2) = 8x10^-19CElectric charge 3 (q3) = Electric charge 4 (q4) = -1,6x10^-19CWhat should be the value of D for the electric field module to be equal to the resulting electric potential at the point located at point 1?For a point charge, the equipotential surfaces form concentric spheres with the charges at the center. 2 such equipotential surfaces have potentials 293.3V and 95.2V. if these 2 concentric surfaces are separated by a distance of 2.2m, what is the charge of the point particle?Two very large concentric spherical shells of radii a=143m and b=359 m carry uniform charges Q and -Q as shown in the figure below. If the electric field between the shells is E = r2 where Q=8µC, determine the potential difference between the shells; V(b)-V(a)=? Express your answer in units of Volts using zero decimal places. Please do not forget a minus sign if your answer is negative. Take the value of Coulomb constant as k=9x109 N.m2/c2. Hint: here the unit vector r is radially outward. ---
- For a spherical surface with radius 0.15 m and is charged by 29 nC, the electric Potential V at r = 0.26 m is (in V)An electric potential exists in a region described by the following: V(x, y, z) = (2.25 -²4) x²y² + (1.503) y²z + 3.00v What is the force that a particle of charge 34 mC feels at position (2.15cm, 2.10cm, -1.25cm)? Give your answer in vector component form. Answer: Force