Concept explainers
Figure P24.16 shows three charged particles arranged in the xy plane at the coordinates shown, with qA = qB = −3.30 nC and qC = 4.70 nC. What is the electric field due to these particles at the origin?
FIGURE P24.16
The electric field due to the particles at the origin.
Answer to Problem 16PQ
The electric field at the origin is
Explanation of Solution
Write the formula for the x component of the electric field due to charge
Here,
Re-write the above equation by substituting expression for
Here,
Similarly write the formula for the x component of the electric field due to
Here,
Write the formula for the x component of the electric field due to
Here,
Write the x component of the net electric field at origin.
Similarly write the y component of the electric field at origin.
Here,
Substitute
Substitute
Conclusion:
The electric field at the origin is
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Chapter 24 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning