A uniform electric field has magnitude 240 N / C and is directed to the right. A particle with c

step 1 Hi, in the given problem, there is a uniform electric field which is acting from left to right.

A uniform electric field has magnitude 240 N / C and is...

A uniform electric field has magnitude $240 \mathrm{N} / \mathrm{C}$ and is directed to the right. A particle with charge $+4.2 \mathrm{nC}$ moves in this field. For the given motion of the particle, find (a) the electric force that acts on the particle; (b) the potential difference through which the particle moves; (c) the change in the particle's potential energy; and (d) the work done on the particle by the electric field. The particle moves along a straight line from $b$ to $a$.

A uniform electric field has magnitude $240 \mathrm{N} / \mathrm{C}$ and is directed to the right. A particle with charge $+4.2 \mathrm{nC}$ moves in this field. For the given motion of the particle, find
(a) the electric force that acts on the particle;
(b) the potential difference through which the particle moves;
(c) the change in the particle's potential energy; and
(d) the work done on the particle by the electric field.
The particle moves along a straight line from $b$ to $a$.

Key Concepts

Electric Field

An electric field is a physical field that surrounds electric charges and exerts force on other charges within the field. It is characterized by both magnitude and direction, indicating the force per unit charge experienced by a small positive test charge placed in the field.

Electric Force

Electric force is the force experienced by a charged particle placed in an electric field. It can be calculated using the relation F = qE, where q is the charge of the particle and E is the magnitude of the electric field. This concept is crucial in analyzing the motion of charged particles in fields.

Electric Potential Difference

The electric potential difference between two points is the work done per unit charge in moving a charge between those two points in an electric field. It reflects how the electric potential energy changes as a charge moves and is calculated by integrating the electric field along the path of the movement.

Electric Potential Energy

Electric potential energy is the energy that a charged particle has due to its position in an electric field. It is directly related to the electric potential difference and the charge, with changes given by ?U = q?V. This concept is essential in understanding energy conservation in electromagnetic systems.

Work Done by Electric Field

The work done by an electric field on a charged particle is the energy transferred to or from the particle as it moves through the field. It is directly related to the change in electric potential energy and is defined such that work done by the field results in a decrease in the particle’s potential energy, consistent with the principle of energy conservation.

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