Concept explainers
Figure P24.51 shows four small charged spheres arranged at the corners of a square with side d = 25.0 cm.
a. What is the electric field at the location of the sphere with charge +2.00 nC?
b. What is the total electric force exerted on the sphere with charge +2.00 nC by the other three spheres?
FIGURE P24.51
(a)
The electric field at the location of the sphere with charge
Answer to Problem 51PQ
The electric field at the location of the sphere with charge
Explanation of Solution
Sketch the diagram showing the electric fields and position vectors of the charges.
Write the equation for the electric field of a charged particle.
Here,
Use equation (I) to find the equation for the sum of the electric field at the location of the sphere with charge
Here,
Conclusion:
Substitute
Thus, the electric field at the location of the sphere with charge
(b)
The total electric forceon the sphere with charge
Answer to Problem 51PQ
The total electric force on the sphere with charge
Explanation of Solution
Write the equation for the electric force.
Here,
Conclusion:
Substitute
Thus, the total electric force on the sphere with charge
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Chapter 24 Solutions
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