(Solved):   5. Consider a dipole formed between two opposite charges as shown below. Sketch the electr ...

 

5. Consider a dipole formed between two opposite charges as shown below. Sketch the electric field lines and equipotential lines in the vicinity of the dipole. \[ \bullet+Q \quad \bullet-Q \] 6. Consider two positive charges as shown below. Sketch the electric field lines and equipotential lines in the vicinity of the charges. \[ \boldsymbol{\bullet}+Q \quad \bullet+Q \] 7. Refer to the uniform electric field pattern mentioned in Question # 1 above. We assume for simplicity that this electric field pattern is obtained by keeping two very large oppositely charged sheets at a fixed distance \( d \) (we can also refer to this combination as parallel plate capacitors. One plate carries a charge \( +Q \), and the other carries a charge \( -Q \). The surface charge density on each plate is \( \sigma=Q / A \).) Starting with the electric field equation due to a plane of charge, derive an expression for the capacitance of the parallel-plate capacitor. 8. Consider a \( 20 \mu \mathrm{C} \) spherical positive charge distribution of radius \( 10 \mathrm{~cm}(0.1 \mathrm{~m}) \). Using Microsoft Excel plot a graph of: - electric field \( (E) \) as a function of radius \( (r) \). Ensure to show the plot in increments of \( 0.1 \mathrm{~m} \) till \( r=1 \mathrm{~m} \). - electric potential \( (V) \) as a function of radius \( (r) \). Ensure to show the plot in increments of \( 0.1 \mathrm{~m} \) till \( r=1 \mathrm{~m} \).