Derive Eq. 10.23. [Hint: Start by dotting v into Eq.

Chapter 10, Problem 9P

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QUESTION:

Problem 9P

Derive Eq. 10.23. [Hint: Start by dotting v into Eq. 10.17.]

Reference equation 10.23

Reference equation 10.17

Questions & Answers

QUESTION:

Problem 9P

Derive Eq. 10.23. [Hint: Start by dotting v into Eq. 10.17.]

Reference equation 10.23

Reference equation 10.17

ANSWER:

Solution 9P

Step 1 of 4:

We are going to prove the given equation using Lorentz force law in terms of potentials.

The given equation is

The reference formula is given by

Where

        T is the kinetic energy

        V is scalar potential

        A is vector potential

        E is electric field

        B is magnetic field

        v is speed of the propagation

        q is the charge

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