A particle has a charge of +1.5 μC and moves from point A to point B, a distance of 0.20 m. The

step 1 Hi friends this is a problem based on the concept of Bergdan on the charge to move between the p

A particle has a charge of +1.5 μC and moves from point A to...

A particle has a charge of $+1.5 \mu \mathrm{C}$ and moves from point $A$ to point $B,$ a distance of $0.20 \mathrm{m}$. The particle experiences a constant electric force, and its motion is along the line of action of the force. The difference between the particle's electric potential energy at $A$ and at $B$ is $\mathrm{EPE}_{A}-\mathrm{EPE}_{B}=$ $+9.0 \times 10^{-4} \mathrm{J} .$ (a) Find the magnitude and direction of the electric force that acts on the particle. (b) Find the magnitude and direction of the electric field that the particle experiences.

A particle has a charge of $+1.5 \mu \mathrm{C}$ and moves from point $A$ to point $B,$ a distance of $0.20 \mathrm{m}$. The particle experiences a constant electric force, and its motion is along the line of action of the force. The difference between the particle's electric potential energy at $A$ and at $B$ is $\mathrm{EPE}_{A}-\mathrm{EPE}_{B}=$ $+9.0 \times 10^{-4} \mathrm{J} .$ (a) Find the magnitude and direction of the electric force that acts on the particle.
(b) Find the magnitude and direction of the electric field that the particle experiences.

Key Concepts

Electric Field

The electric field is defined as the force experienced per unit positive charge. It characterizes the influence a charged object exerts in the space around it, and knowing the field enables one to calculate the electric force on any charge placed within the field by simply multiplying the charge by the electric field.

Electric Potential Energy

Electric potential energy is the energy stored in a charge due to its position in an electric field. It quantifies how the position of a charge in the field contributes to its overall energy, and a change in this energy indicates that work has been done either by or against the electric force acting on the charge.

Work Done by an Electric Force

The work done by an electric force on a charged particle is equal to the change in the particle's electric potential energy. This work is computed as the product of the force component along the displacement and the distance moved, and its sign indicates whether the energy of the charge increases or decreases as it moves in the field.

Electric Force

The electric force on a charged particle is the force exerted on it by an electric field and is directly proportional to the magnitude of the charge. Its direction and magnitude determine how the particle accelerates, and this force is the primary agent for doing work on the particle, thus altering its electric potential energy.

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