The electric field strength is exactly proportional to the number of field lines per unit area, since the magnitude of the electric field for a point charge is [latex]E=k\frac{|Q|}{r^2}\\[/latex] and area is proportional to r 2. This pictorial representation, in which field lines represent the direction and their closeness (that is, their areal ... Feb 02, 2020 · Describe schematically the equipotential surfaces corresponding to(a) a constant electric field in the z-direction,(b) a field that uniformly increases in magnitude but remains in a constant (say, z) direction,(c) a single positive charge at the origin, and(d) a uniform grid consisting of long equally spaced parallel charged wires in a plane. For a point charge, the equipotential surfaces are concentric spherical shells. For a uniform electric field, the equipotential surfaces are planes normal to the x-axis; The direction of the equipotential surface is from high potential to low potential. Inside a hollow charged spherical conductor the potential is constant. This can be treated ... A uniform electric field is oriented in the -z direction. The magnitude of the electric field is 6500 N/C. (a) How will the equipotential surfaces associated with this electric field be oriented? (b) Consider two of the equipotential surfaces; one with a potential of 12 V and the other with a potential of 13 V. Draw the equipotential line through point G, making sure it contains al points on the page that have the same potential as G. Explain your 1. reasoning. Draw the equipote ntial line through point H. 2. Consider this uniform electric field. Draw the equipotential line through point F, and explain your reasoning. equipotential surface [or line]. These equipotential surfaces are actually only simulations of what really occurs for charge distributions in free space [as opposed to the conductive paper]. You can refer to your textbook for diagrams of what the equipotential surfaces and the electric field lines look like for these two charge distributions. The equation of an equipotential surface at a potenial V0 is given by z = V0 E This is the equation of a plane that is parallel to the plates of the capacitor and perpendicular to the electric eld. In particular, the lower plate, which is at zero potential, corresponds to the surface z = 0. Part F. equipotential surface [or line]. These equipotential surfaces are actually only simulations of what really occurs for charge distributions in free space [as opposed to the conductive paper]. You can refer to your textbook for diagrams of what the equipotential surfaces and the electric field lines look like for these two charge distributions. Jan 27, 2012 · 8.02x - Lect 4 - Electrostatic Potential, Electric Energy, Equipotential Surfaces - Duration: 49:02. Lectures by Walter Lewin. They will make you ♥ Physics. 579,438 views Relation between electric fields and electric potential Consider the electric field E due to a point charge +q at point O in a radially outward direction shown below in the figure. Suppose R and S are two points at a distance r and r+dr from point O where dr is vanishingly small distance and V is electric potential at point R. As noted above, the electric field lines are perpendicular to surfaces called equipotential surfaces. In two dimensions, these are lines. Along an equipotential, the electric field is a minimum—that is, it is zero. A voltmeter will yield zero voltage difference between two points that are on the same equipotential line. See Figure 4. Two equipotential surfaces can never intersect. If two equipotential surfaces could intersect, then at the point of intersection there would be two values of electric potential which is not possible. For a uniform electric field say along x -axis, the equipotential surfaces are planes normal to the x-axis i.e y-z plane Feb 07, 2013 · A uniform electric field is oriented in the +y direction.The magnitude of the electric field is 6500 N/C. (a) How will the equipotential surfaces associated with this electric field be oriented? 1 parallel to the xy plane parallel to the xz plane parallel to the yz plane (b) Consider two of the equipotential surfaces; one with a potential of 12 V and the other with a potential of −19 V.What ... Dec 08, 2016 · The equipotential surfaces are equidistant from each other. (ii) As, the electric field increases in the direction of Z-axis, the equipotential surface is normal to Z-axis, i.e. in XY-plane and they become closer and closer as the field increases. Dec 02, 2015 · In case of constant electric field along Z-direction,the perpendicular distance between equipotential surfaces remains same whereas for field of increasing magnitude, equipotential surfaces get closer as we go away from the origin.In both cases, surfaces be planes parallel to XY- plane. 26. (i)Can two equipotential surfaces intersect each other? Jan 03, 2020 · (a) Draw the equipotential surfaces corresponding to a uniform electric field in the z-direction. (b) Derive an expression for the electric potential at any ... A uniform electric field is oriented in the -z direction. The magnitude of the electric field is 6500 N/C. (a) How will the equipotential surfaces associated with this electric field be oriented? (b) Consider two of the equipotential surfaces; one with a potential of 12 V and the other with a potential of 13 V. Q.13 Draw 3 equipotential surfaces corresponding to a field that uniformly increases in magnitude but remains constant along Z- direction. How are constant electric field along Z- direction? [2008 D, 2009] Sol. The figure is shown below. Because a conductor is an equipotential, it can replace any equipotential surface. For example, in Figure 1 a charged spherical conductor can replace the point charge, and the electric field and potential surfaces outside of it will be unchanged, confirming the contention that a spherical charge distribution is equivalent to a point charge at its center. 27. Draw schematically the equipotential surface corresponding to a field that uniformly increases in magnitude but remains in a constant (say z) direction. 28. What is the work done in rotating a dipole from its unstable equilibrium to stable equilibrium? Does the energy of the dipole increase or decrease? 1. Q.13 Draw 3 equipotential surfaces corresponding to a field that uniformly increases in magnitude but remains constant along Z- direction. How are constant electric field along Z- direction? [2008 D, 2009] Sol. The figure is shown below. A uniform electric field is oriented in the -z direction. The magnitude of the electric field is 6500 N/C. (a) How will the equipotential surfaces associated with this electric field be oriented? (b) Consider two of the equipotential surfaces; one with a potential of 12 V and the other with a potential of 13 V. For a point charge, the equipotential surfaces are concentric spherical shells. For a uniform electric field, the equipotential surfaces are planes normal to the x-axis; The direction of the equipotential surface is from high potential to low potential. Inside a hollow charged spherical conductor the potential is constant. This can be treated ... For a point charge, the equipotential surfaces are concentric spherical shells. For a uniform electric field, the equipotential surfaces are planes normal to the x-axis; The direction of the equipotential surface is from high potential to low potential. Inside a hollow charged spherical conductor the potential is constant. This can be treated ... equipotential surface [or line]. These equipotential surfaces are actually only simulations of what really occurs for charge distributions in free space [as opposed to the conductive paper]. You can refer to your textbook for diagrams of what the equipotential surfaces and the electric field lines look like for these two charge distributions. Draw one equipotential surface (a) in a uniform electric field. (b) for a point charge(Q>0). (a) Draw equipotential surfaces corresponding to the electric field that uniformly increases in magnitude along with the z-directions. asked Dec 4, 2019 in Physics by Juhy03 ( 52.1k points) cbse Dec 08, 2016 · The equipotential surfaces are equidistant from each other. (ii) As, the electric field increases in the direction of Z-axis, the equipotential surface is normal to Z-axis, i.e. in XY-plane and they become closer and closer as the field increases. Two equipotential surfaces can never intersect. If two equipotential surfaces could intersect, then at the point of intersection there would be two values of electric potential which is not possible. For a uniform electric field say along x -axis, the equipotential surfaces are planes normal to the x-axis i.e y-z plane Jan 27, 2012 · 8.02x - Lect 4 - Electrostatic Potential, Electric Energy, Equipotential Surfaces - Duration: 49:02. Lectures by Walter Lewin. They will make you ♥ Physics. 579,438 views Draw three equipotential surfaces corresponding to a field that uniformly increases in magnitude but remains constant along Z-direction. How are these surfaces different from that of a constant electric field along Z-direction?