1 Problem #1: Electrostatics – Equipotential Surface An electric dipole consists of 2 charges: (1) q1= 12nC and (2) q2=12nC placed 10 cm apart as shown below: [20] Compute the electric potentials at points (a), (b) and (c) respectively. ------------------------------------------------------------------------------------------------------------------------------------- 2 Problem # 2: Electrostatics- Equipotential Surface Given a capacitor with various equipotential surfaces [1,2,3,4] enclosed within the boundaries of parallel plates, as shown in figure: [10] Determine the Potential Difference (δV) and Electric Field Intensities (E) between plates 12,1-3,2-3, and 1-4 respectively. 3 Problem # 3: Electrostatics- Equipotential Surface A positive charge (+e) is located at a position (0,–d/2,0) and a negative charge (–e) is located at another position (+d/2,0,0) in space respectively. Sketch the charge distribution of the network in graph up-to the scale. Determine the resultant magnitude and direction of the net Coulomb force of attraction exerted on an isolated test charge (+1 C) at the origin by these pair of charges separated at d=5 cm using vector resolution. [20] 4 Problem # 4: Electrostatics- Gauss Theorem [20] Determine an appropriate equation for the equipotential surface around an infinitely long plane sheet of charge plate with surface charge distribution, σ. Sketch the surface. 5 Problem # 5: Electrostatics- Gauss Theorem [30] (a) Determine an appropriate equation for the electrostatic potential due to a uniform charge distribution, σ, in a circular disc of Radius, R. Sketch the equipotential surface in graph. 6 (b) Determine an appropriate equation for the electrostatic potential at the point, P, due to a uniform linear charge density, γ, in an infinitely long wire. Sketch the equipotential surface in graph. 7 (c) Determine an appropriate equation for the electrostatic potential at point, P, due to a uniform charge distribution, σ, in a circular ring of Radius (a). Sketch the surface.
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