QUESTION 1 There are two methods used to determine the electric field at a point due to a charge distribution. 1.1 The first method involves direct determination of the electric field vector E by integration in accordance to the type of charge distribution producing the electric field. 1.1.1 State three possible ways the charge can be distributed, 1.1.2 Write down the integral formula used to determine E for each of these cases. 1.1.3 Give the physical meanings of all the quantities appearing in these integral Formulas 1.2 Method 2: involves determination of the electric field when electric potential of the system is known using E = VV. 1.2.1 Write down the vector operator, nabla in three dimension form. 1.2.2 Explain why the gradient of a scalar field is a vector quantity

QUESTION 1 There are two methods used to determine the electric field at a point due to a charge distribution. 1.1 The first method involves direct determination of the electric field vector E by integration in accordance to the type of charge distribution producing the electric field. 1.1.1 State three possible ways the charge can be distributed, 1.1.2 Write down the integral formula used to determine E for each of these cases. 1.1.3 Give the physical meanings of all the quantities appearing in these integral Formulas 1.2 Method 2: involves determination of the electric field when electric potential of the system is known using E = VV. 1.2.1 Write down the vector operator, nabla in three dimension form. 1.2.2 Explain why the gradient of a scalar field is a vector quantity