You will later encounter the electric force that exists between two electrically

Question

You will later encounter the electric force that exists between two electrically charged objects, given by the formula

FE = kq1q2/r2,

where k is a constant called Coulomb's constant, each q represents the amount of excess charge on each object, and r is the distance between the objects. Find the change in electric potential energy between two charges that are initially a distance r1 apart and later a distance r2 apart. (Use any variable or symbol stated above as necessary. Do not substitute numerical values; use variables only.)

Explanation / Answer

Here

let the force is

F = k * q1 *q2/r^2

r is the distance between the charges

change in electric potential energy = integration(k * q1 *q2/r^2 dr) from r1 to r2

change in electric potential energy = -(k * q1 *q2/r) from r1 to r2

change in electric potential energy = k * q1 * q2 * (1/r1 - 1/r2)

the change in electric potential energy is k * q1 * q2 * (1/r1 - 1/r2)

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.