Chapter 21, Problem 62A

(a)

To determine

To sketch:The electric field produced by a given charge.

Explanation of Solution

Introduction:

Electric field is a physical quantity that gives relationship between the force exerted on a test charge and the size of a test charge. It is a vector quantity. If $F_{onq}$ is the electrostatic force on the test charge $q$ at some point, the electric field $\left(E\right)$ on that charge at the same point is given by,

  $E=\frac{F_{onq}}{q}$

The electric field produced by a $+1.0\mu \text{C}$ charge is sketched as shown below. The lines with arrow mark indicate the field lines.The electric filed is the vector quantity. At any position neighboring a source charge, arrow mark indicates the direction in which the field is pointed and its length is directly related to the filed strength at that position. The magnitude and electric filed strength in a region close to the source charge is directly related to the size of the source charge and inversely related to the distance from the source charge.

(b)

To determine

To sketch the electric field produced by a $+2.0\mu \text{C}$ charge.

Explanation of Solution

Introduction:

Electric field is a physical quantity that gives relationship between the force exerted on a test charge and the size of a test charge. It is a vector quantity. If $F_{onq}$ is the electrostatic force on the test charge $q$ at some point, the electric field $\left(E\right)$ on that charge at the same point is given by,

  $E=\frac{F_{onq}}{q}$

The electric field produced by a $+2.0\mu \text{C}$ charge is sketched as shown below. Since the electric field is a vector quantity, the lines are drawn with an arrow mark in it. At any position neighboring a source charge, arrow mark indicates the direction in which the field is pointed and its length is directly proportional to the filed strength at that position. The magnitude and electric filed strength in a region close to the source charge is directly related to the size of the source charge and inversely related to the distance from the source charge. Since the field strength is directly related to the source charge the number of lines drawn in this case is twice than that for the $+1.0\mu \text{C}$ charge.