Chapter 23: 39 - Excercises And Problems (page 655)
Charges and in are located at . Determine the electric field at points . Write each field in component form.
Short Answer
The Electric field component is ,
Step by step solution
Step: 1 Electric field:
The Electric field charge is
The following diagram depicts the electromagnetic lines at node one due to these two charges, which can be used to compute the electric field.
Step: 2 Finding distance:
Charge from node one as
The distance from charge is
Step: 3 Finding angle:
The value of sine angle is
The value of cosine angle is
Step; 4 Magnitude at node one:
The magnitude at electric field is at node one is
The components as
Substituting
Step: 5 Equating:
The component as
Substituting
Step: 6 Finding component:
The component at field as
The component at field as
The negative sign denotes field in downward side.
Step: 7 Finding nodes:
The field at node two is
The field at node two is
Because these two variables are solely on the axis, their components are zero.
Step: 8 Resultant field at node two:
The resultant field at node two is
Substituting
Step: 9 Resultant field at node three:
The resultant charges is
Substituting
The Diagram as
Step: 10 Finding charge:
The distance from charge is
The distance from charge is
Step: 11 Finding angle:
The sine angle as
The cosine angle as
Step: 12 Finding component:
Te field at component is
Substituting
Similarlly,
Step: 13 Finding electric field:
The net field in component as
Substituting the values
Unlock Step-by-Step Solutions & Ace Your Exams!
-
Full Textbook Solutions
Get detailed explanations and key concepts
-
Unlimited Al creation
Al flashcards, explanations, exams and more...
-
Ads-free access
To over 500 millions flashcards
-
Money-back guarantee
We refund you if you fail your exam.
Over 30 million students worldwide already upgrade their learning with Vaia!