1. Consider the static electric field E 5Ei + 2Eoj Find the electric potential difference Vor...
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1. Consider the static electric field E 5Ei + 2Eoj Find the electric potential difference Vor between the point Q at (0; 2d; 0) and the point Pat (0; d: 0). Find the electric potential difference VRr between the point R at (d: d: 0) and the point P at (0, d, 0). 2. A positive charge q is placed at position (0,+d/2, 0), and a negative charge -q is placed at position (0,-d/2, 0). This is an electric dipole. What is the magnitude of the dipole moment p? What is its direction? Calculate the electric field at the point (0, Yo. 0) on the y-axis, assuming yo > d. Appreximate the expression for the electric field for the case yo>> d. Express this large-distance electric field in terms of the vector p. 3. A circular ring of radius R lies in the x-y plane with its center at the origin. The ring carries a uniformly distributed positive charge Q. Find the electric potential due to the charged ring at the point P(0, 0, z4) on the z-axis. Approximate your result in the limit za >> R and explain your result in terms of the potential due to a point charge. 1. Consider the static electric field E 5Ei + 2Eoj Find the electric potential difference Vor between the point Q at (0; 2d; 0) and the point Pat (0; d: 0). Find the electric potential difference VRr between the point R at (d: d: 0) and the point P at (0, d, 0). 2. A positive charge q is placed at position (0,+d/2, 0), and a negative charge -q is placed at position (0,-d/2, 0). This is an electric dipole. What is the magnitude of the dipole moment p? What is its direction? Calculate the electric field at the point (0, Yo. 0) on the y-axis, assuming yo > d. Appreximate the expression for the electric field for the case yo>> d. Express this large-distance electric field in terms of the vector p. 3. A circular ring of radius R lies in the x-y plane with its center at the origin. The ring carries a uniformly distributed positive charge Q. Find the electric potential due to the charged ring at the point P(0, 0, z4) on the z-axis. Approximate your result in the limit za >> R and explain your result in terms of the potential due to a point charge.
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