Concept explainers
(a)
The electric potential of the configuration of the three fixed charges.
(a)
Answer to Problem 17P
The potential energy of the configuration is
Explanation of Solution
The following figure shows the placement of charges
Figure-(1)
Write the expression for the configuration of the three fixed point’s electric potential energy.
Here,
Conclusion:
Substitute
Further solve the above equation.
Therefore, the potential energy of the configuration is
(b)
The speed of the fourth particle, after it has moved freely to a very large distance away from its point.
(b)
Answer to Problem 17P
The particle’s speed is
Explanation of Solution
Calculate the distance between the charges,
Write the expression for Pythagoras theorem.
Here,
Write the expression for net potential due to the three charges at point
Here,
Write expression when kinetic energy is converted into potential energy in the equilibrium position.
Here,
Rewrite the above equation for
Conclusion:
Consider triangle
Substitute
Further solve the above equation.
Substitute
Substitute
Further solve the above equation.
Therefore, the particle’ speed is
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Chapter 25 Solutions
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