Two point charges q1= +2.40 nC and q2=-6.50 nC are 0.100 m apart. Point A is midway between them

step 1 This question, we have this configuration as shown in the plot. We have a positive charge of 2 .

Two point charges q1= +2.40 nC and q2=-6.50 nC are 0.100 m...

Two point charges $q_{1}=$ $+2.40 \mathrm{nC}$ and $q_{2}=-6.50 \mathrm{nC}$ are 0.100 $\mathrm{m}$ apart. Point $A$ is midway between them; point $B$ is 0.080 $\mathrm{m}$ from $q_{1}$ and 0.060 m from $q_{2}$ . (See Figure $18.41 .$ ) Take the electric potential to be zero at infinity. Find (a) the potential at point $A ;(b)$ the potental at point $B ;(c)$ the work done by the electric field on a charge of 2.50 $\mathrm{nC}$ that travels from point $B$ to point $A .$

Two point charges $q_{1}=$ $+2.40 \mathrm{nC}$ and $q_{2}=-6.50 \mathrm{nC}$ are 0.100 $\mathrm{m}$ apart. Point $A$ is midway between them; point $B$ is 0.080 $\mathrm{m}$ from $q_{1}$ and 0.060 m from $q_{2}$ . (See Figure $18.41 .$ ) Take the electric potential to be zero at infinity. Find (a) the potential at point $A ;(b)$ the potental at point $B ;(c)$ the work done by the
electric field on a charge of 2.50 $\mathrm{nC}$ that travels from point $B$ to point $A .$

Key Concepts

Superposition Principle for Electric Potential

The superposition principle states that when multiple charges are present, the total electric potential at any given point is the algebraic sum of the individual potentials due to each charge. This principle is essential in analyzing systems with several charges because electric potential is a scalar quantity, allowing one to simply add up the contributions without worrying about direction.

Electric Potential Energy and Work Done by Electric Field

Electric potential energy is defined as the energy a charge possesses due to its position in an electric field, and it is related to the electric potential by the relation U = qV. The work done by the electric field when a charge moves from one point to another is equal to the negative change in its potential energy. This concept is crucial in understanding energy conservation in electrostatic interactions and calculating the work done during the movement of a charge between points with different potentials.

Electric Potential Due to a Point Charge

This concept involves the idea that a point charge generates an electric potential in the surrounding space, which is given by the formula V = kq/r, where V is the electric potential, k is Coulomb's constant, q is the charge, and r is the distance from the charge. It explains how the potential varies inversely with distance from the charge, providing a way to calculate the energy per unit charge at any point in an electric field.

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