Question

a. What are the x- and y-components of vector shown in FIGURE EX3.3 in terms of the angle$\theta$ and the magnitude $E$?

b. For the same vector, what are the x- and y-components in terms of the angle $\theta$and the magnitude $E$?

Short answer

a. x-component and y-component are found to be $E_x=E\sin \theta E_y=-E\cos \theta$.

b. x-component and y-component are found to be$E_x=E\cos \varphi E_{\text{y}}=-E\sin \varphi$ .

Step-by-step solution

Part(a)

Considering the angle the x-component and y-component are written as

$E_x=E\sin \theta E_{\text{y}}=-E\cos \theta .$

Part (b)

Considering the angle$\varphi$the x- component, and y-component is written a

localid="1651829001488" $E_x=E\cos \varphi E_{\text{y}}=-E\sin \varphi .$