Concept explainers
a.
The magnitude and the direction of the electric field at
The electric field
Given:
The charges are placed as shown in the figure. The first plane at
The surface charge densities are
Formula Used:
Electric field
E is the electric field.
The resultant electric field at point is
Calculations:
The resultant electric field at point is
Electric field at point 1 due to sphere.
As the point is inside the sphere the electric field is zero.
Electric field at point 1 due to plane 1
Substituting values
The electric field at point 1 due to plane 2.
Substituting in the equation
The resultant electric field at point is
Substituting
The magnitude of the electric field is
Direction:
Conclusion:
The electric field
b.
The magnitude and the direction of the electric field at
The electric field
Given:
The charges are placed as shown in the figure. The first plane at
The surface charge densities are
Formula Used:
Electric field
E is the electric field.
The resultant electric field at point is
Calculations:
The resultant electric field at point is
Electric field at point 1 due to sphere.
Where
Electric field at point 1 due to plane 1
Substituting values in the formula
The electric field at point 1 due to plane 2.
Substituting in the equation
The resultant electric field at point is
Substituting
The magnitude of the electric field is
Direction:
Conclusion:
The electric field
a.
Answer to Problem 77P
The electric field
Explanation of Solution
Given:
The charges are placed as shown in the figure. The first plane at
The surface charge densities are
Formula Used:
Electric field
E is the electric field.
The resultant electric field at point is
Calculations:
The resultant electric field at point is
Electric field at point 1 due to sphere.
As the point is inside the sphere the electric field is zero.
Electric field at point 1 due to plane 1
Substituting values
The electric field at point 1 due to plane 2.
Substituting in the equation
The resultant electric field at point is
Substituting
The magnitude of the electric field is
Direction:
Conclusion:
The electric field
b.
The magnitude and the direction of the electric field at
The electric field
Given:
The charges are placed as shown in the figure. The first plane at
The surface charge densities are
Formula Used:
Electric field
E is the electric field.
The resultant electric field at point is
Calculations:
The resultant electric field at point is
Electric field at point 1 due to sphere.
Where
Electric field at point 1 due to plane 1
Substituting values in the formula
The electric field at point 1 due to plane 2.
Substituting in the equation
The resultant electric field at point is
Substituting
The magnitude of the electric field is
Direction:
Conclusion:
The electric field
b.
Answer to Problem 77P
The electric field
Explanation of Solution
Given:
The charges are placed as shown in the figure. The first plane at
The surface charge densities are
Formula Used:
Electric field
E is the electric field.
The resultant electric field at point is
Calculations:
The resultant electric field at point is
Electric field at point 1 due to sphere.
Where
Electric field at point 1 due to plane 1
Substituting values in the formula
The electric field at point 1 due to plane 2.
Substituting in the equation
The resultant electric field at point is
Substituting
The magnitude of the electric field is
Direction:
Conclusion:
The electric field
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Chapter 22 Solutions
Physics for Scientists and Engineers, Vol. 3
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