Concept explainers
(a)
The electric field at point P.
(a)
Answer to Problem 93P
Electric field is
Explanation of Solution
Charge
Draw the vector diagram showing the direction of electric fields of charges.
Write the equation for the x- component of net electric field at point P.
Here,
Write the equation for
Write the equation for
Here,
Rewrite equation (I) by substituting equations (II) and (III).
Write the equation for the y- component of net electric field at point P.
Here,
Write the equation for
Here,
Write the equation for
Rewrite equation (V) by substituting equations (VI) and (VII).
Write the equation to find the magnitude of net electric field.
Here,
Rewrite the above equation by substituting equations (IV) and (VIII).
Write the equation to find the direction of
Here,
Conclusion:
Substitute
Substitute
Conclusion:
Therefore, electric field is
(b)
The initial acceleration of particle.
(b)
Answer to Problem 93P
The initial acceleration is
Explanation of Solution
Mass of particle is
Write the equation to find the net force on the particle.
Here,
Write the expression for
Here,
Equate the right hand sides of the above two equations.
Conclusion:
Substitute
The direction of acceleration of a negative charge will be opposite to the direction of electric field.
Therefore, the initial acceleration is
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