Work and Electric Potential
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A charge Q = −3 μC is fixed at a point O of the space. Points A,
B, and C are at a distance, respectively, 1.0 m, 3.0 m, and 6.0 m from O. The
charge is placed in the vacuum, where
\( k_{0}=9\times 10^{9}\;\frac{\text{N.m}^{2}}{\text{C}^{2}} \).
a) Calculate and draw the electric field vector in B.
b) What is the electrostatic potential in B?
c) What is the potential energy of a particle of q = −5 nC placed in C? Consider the potential energy equal to zero in infinity;
d) What is the work of an external agent, necessary to bring the q particle from infinity to point C?
e) What is the work of the electric force in this displacement?
f) What is the work of an external agent when q is displaced from C to the A?
g) What is the work of the electric force in this displacement?
a) Calculate and draw the electric field vector in B.
b) What is the electrostatic potential in B?
c) What is the potential energy of a particle of q = −5 nC placed in C? Consider the potential energy equal to zero in infinity;
d) What is the work of an external agent, necessary to bring the q particle from infinity to point C?
e) What is the work of the electric force in this displacement?
f) What is the work of an external agent when q is displaced from C to the A?
g) What is the work of the electric force in this displacement?
Two isolated drops of water, whose radii are 0.4 mm and 0.6 mm, are respectively charged with
8×10−8 C and 1.2×10−7 C. Calculate the potential of the drop
formed by the union of the two drops.
A particle with charge q1 = 1 μC and a mass of 5 g is launched in the radial direction
of another particle, with charge q2 = 6 μC and fixed, the launch speed is 12 m/s from a
distance of 0.3 m. Determine at what distance from the fixed particle the launched particle will have a
speed equal to zero. Consider the particle is in the vacuum where the Coulomb constant is
\( k_{0}=9\times10^{9}\frac{\;\text{N m}^{2}}{\text{C}^{2}} \)
and neglect gravitational effects.
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Fisicaexe - Physics Solved Problems by Elcio Brandani Mondadori is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License .