Elements of Electromagnetics
Elements of Electromagnetics
7th Edition
ISBN: 9780190698669
Author: Sadiku
Publisher: Oxford University Press
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Chapter 14, Problem 1RQ
To determine

Choose the correct option that provides the required point on an equipotential line.

Expert Solution & Answer
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Answer to Problem 1RQ

The correct option is (a)(1.04,2.03,0)_.

Explanation of Solution

Calculation:

Consider the given expression for the electric field.

E=0.3ax0.4ayV/m        (1)

Write the general expression for the electric field.

E=Exax+EyayV/m        (2)

By comparing Equation (1) and (2), the values of ExandEy are 0.3 and 0.4 respectively.

Consider that the movements ΔxandΔy in the x- and y-directions.

Calculate Δx.

Δx=ΔIEyEx2+Ey2

Substitute 0.05 m for ΔI, 0.3 for Ex, and 0.4 for Ey.

Δx=(0.05m)(0.4)(0.3)2+(0.4)2=0.04

Calculate Δy.

Δy=ΔIExEx2+Ey2

Substitute 0.05 m for ΔI, 0.3 for Ex, and 0.4 for Ey.

Δy=(0.05m)(0.3)(0.3)2+(0.4)2=0.03

Calculate the point (x+Δx,y+Δy,0).

Point=(x+Δx,y+Δy,0)

Substitute 1 for x, 2 for y, 0.04 for Δx, and 0.03 for Δy.

Point=(1+0.04,2+0.03,0)=(1.04,2.03,0)

Conclusion:

Thus, the correct option is (a)(1.04,2.03,0)_.

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