Concept explainers
The position of the third charge such that the electric field at the origin is zero.
Answer to Problem 15PQ
The position of the third charge such that the electric field at the origin is zero is
Explanation of Solution
Write the equation for the electric field chargeq.
Here,
Write the equation for the electric field due to charge 2q.
Here,
Write the equation for the electric field due to charge 3q.
Here,
Write the equation for the net electric field.
Write the condition that the electric field at the origin is zero using equation (III).
Conclusion:
Substitute
Substitute
Substitute
Substitute
The direction of electric field must be in the positive x direction. Thus, the particle must be in the negative x axis.
Thus, the position of the third charge such that the electric field at the origin is zero is
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Chapter 24 Solutions
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