Concept explainers
Two long, thin rods each have linear charge density λ = 6.0 μC/m and lie parallel to each other, separated by 20.0 cm as shown in Figure P25.32. Determine the magnitude and direction of the net electric field at point P, a distance of 15.0 cm directly above the right rod.
Figure P25.32
The magnitude and direction of the net electric field at point
Answer to Problem 32PQ
The magnitude and direction of the net electric field at point
Explanation of Solution
The following figure gives the components of the electric field with direction.
Write the expression for the electric field due to the right rod.
Here,
Write the expression for the electric field due to the left rod.
Here,
Write the expression for the angle
Here,
Write the expression for the vector field of the left rod.
Write the expression for total electric field.
Write the expression for the magnitude of the electric field.
Here,
Write the expression for the direction of the electric field.
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, the magnitude and direction of the net electric field at point
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Chapter 25 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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