The electron in Figure 17.79 is traveling with a speed of 3 ×10^6 m / s. (a) At location A, what

step 1 Here in this question we have given velocity of electron equals to 2 multiply by 10 to the power

The electron in Figure 17.79 is traveling with a speed of 3...

The electron in Figure 17.79 is traveling with a speed of $3 \times 10^{6} \mathrm{m} / \mathrm{s}$. (a) At location $A,$ what are the directions of the electric and magnetic fields contributed by the electron? (b) Calculate the magnitudes of the electric and magnetic fields at location $A$.

The electron in Figure 17.79 is traveling with a speed of $3 \times 10^{6} \mathrm{m} / \mathrm{s}$.
(a) At location $A,$ what are the directions of the electric and magnetic fields contributed by the electron? (b) Calculate the magnitudes of the electric and magnetic fields at location $A$.

Key Concepts

Right-Hand Rule for Magnetic Fields

The right-hand rule is a technique used to determine the direction of the magnetic field produced by a moving charge. By aligning the thumb with the velocity of the charge and using the fingers to represent the direction of the field relative to the line joining the charge to the observation point, one can visualize how the magnetic field circles around the path of the moving charge. This rule is crucial in predicting the direction of the magnetic vector in space.

Magnetic Field Due to a Moving Charge

A moving charge creates a magnetic field in addition to its electric field. This concept is often analyzed using the Biot–Savart law, which relates the velocity of the charge and its distance to the point of interest to the produced magnetic field. The magnetic field is oriented perpendicular to both the velocity of the charge and the line connecting the charge to the observation point, a relationship that is governed by the cross product in its mathematical formulation.

Electric Field of a Point Charge

This concept refers to the field produced by a charge that radiates outward (or inward for a negative charge) in all directions, following Coulomb’s law. The magnitude of the electric field is determined by the charge and inversely proportional to the square of the distance from the charge. For a point charge like an electron, even if it is moving, its electric field at a given instant is directed radially and its magnitude is given by the familiar formula, with the sign of the charge determining the field’s direction.

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