Question 1

Consider a positively charged square plate of finite size (a few centimeters on edge). Point P lies in the same plane as the plate and is a few centimeters away from one edge of the plate. If point P were moved slightly away (perpendicularly) from the plane, the direction of the E-field (compared to its direction before the movement of P) would

Accepted Answer

The answer of Consider a positively charged square plate of...

Question 2

Consider a positively charged square plate of finite size (a few centimeters on edge). Point P lies in the same plane as the plate and is a few centimeters away from one edge of the plate. If point P were moved slightly away (parallel with the plane), the magnitude of the E-field (compared to its direction before the movement of P) would

Accepted Answer

As point P moves away from the charged plate while remaining in the same plane, the electric field magnitude at P due to the plate decreases. This is because the electric field strength from a finite-sized charged plate decreases with distance, as the influence of the charge becomes weaker the farther away you get. However, this decrease is not uniform due to the plate's finite size and the complex way electric field lines spread out from it.

Question 3

Consider a positively charged wire bent into the shape of a capital "U". Point P is down in the well of the "U" (specifically at the center of curvature). At point P, the direction of the E-field is

Accepted Answer

The electric field lines radiate outward from a positively charged object. At point P, which is at the center of curvature of the "U" shaped wire, the electric field lines from each side of the "U" shape would be directed away from the wire. Since point P is below the wire, the net electric field at point P would be directed upward, or toward the top of the page, due to the symmetric distribution of the charge along the "U" shape.

Question 4

Consider a positively charged wire bent into the shape of a capital "U". Point P is down in the well of the "U" (specifically at the center of curvature). If point P were moved slightly toward the top of the page, the direction of the E-field would

Accepted Answer

The electric field (E-field) direction is determined by the direction a positive charge would move if placed in the field. Since the wire is positively charged, the electric field lines radiate outward from the wire. At point P, in the center of the curvature of the "U" shape, the electric field lines would be directed radially outward from the wire. Moving point P slightly toward the top of the page would not change the fundamental direction of the electric field lines emanating from the wire; they would still point directly away from the wire, meaning the direction of the E-field at point P remains unchanged.

Question 5

Consider a positively charged wire bent into the shape of a capital "U". Point P is down in the well of the "U" (specifically at the center of curvature). If point P were moved slightly toward the left, the direction of the E-field would

Accepted Answer

The electric field at point P is due to the superposition of fields from all parts of the charged wire. If point P is moved slightly to the left, the contribution from the left side of the "U" becomes stronger, causing the net electric field to shift slightly toward the right.

Question 6

As the location of interest is moved farther away from an infinite plane possessing constant charge per area, the E-field

Accepted Answer

The electric field (E-field) due to an infinite plane with a constant charge per area is uniform and does not change with distance from the plane. This is because the plane is considered infinite, and thus, the perspective does not change as you move away from or towards it.

Question 7

Consider a (two-dimensional) ring of positive charge, uniformly distributed. The force on a charge Q placed at a point P located precisely at the geometric center of the ring

Accepted Answer

The electric field at the geometric center of a uniformly charged ring is zero due to the symmetry of the charge distribution. Each infinitesimal part of the ring has an equal and opposite part that cancels out its electric field at the center, resulting in no net force on a charge placed at that point.

Question 8

Consider a (two-dimensional) ring of positive charge, uniformly distributed. The force on a negative charge Q placed at a point P' located a small distance (in the plane of the ring) from the geometric center of the ring acts as if it

Accepted Answer

The force on a negative charge placed near the center of a uniformly charged ring, in the plane of the ring, does not act along an axial line but rather in the plane of the ring. The charge will be "attracted" or "repelled" depending on the relative positions and nature of the charges, but since the charge is negative and the ring is positively charged, it will be attracted towards the ring. However, the force direction is determined by the distribution of charge around the ring and the position of the charge Q relative to the ring's center, leading to a force component in the plane of the ring. The key here is understanding that the symmetry of the problem changes when the charge is not at the center, leading to a net force in the plane of the ring.

Question 9

Consider a (two-dimensional) ring of positive charge, uniformly distributed. The force on a negative charge Q placed at a point P* located a small distance (along an axial line, perpendicular to the plane of the ring) from the geometric center of the ring acts as if it

Accepted Answer

The force on a negative charge Q placed at a point P* located a small distance (along an axial line, perpendicular to the plane of the ring) from the geometric center of the ring acts as if it "repels" Q from P* along an axial line. This is because the positive charge on the ring creates an electric field that points away from the ring, and the negative charge Q will experience a force in the opposite direction of the electric field.

Question 10

Consider a (two-dimensional) ring of positive charge, uniformly distributed. For a positively charged ring and a point charge Q near its geometric center, Q undergoes one-dimensional SHM for this single conjunction of cases:

Accepted Answer

The answer of Consider a (two-dimensional) ring of positive charge,...

Quiz 23: The Electric Field

Consider a positively charged wire bent into the shape of a capital "U". Point P is down in the well of the "U" (specifically at the center of curvature) . At point P, the direction of the E-field is

Consider a positively charged wire bent into the shape of a capital "U". Point P is down in the well of the "U" (specifically at the center of curvature) . If point P were moved slightly toward the top of the page, the direction of the E-field would

Consider a positively charged wire bent into the shape of a capital "U". Point P is down in the well of the "U" (specifically at the center of curvature) . If point P were moved slightly toward the left, the direction of the E-field would

As the location of interest is moved farther away from an infinite plane possessing constant charge per area, the E-field

Consider a (two-dimensional) ring of positive charge, uniformly distributed. The force on a charge Q placed at a point P located precisely at the geometric center of the ring

Consider a (two-dimensional) ring of positive charge, uniformly distributed. The force on a negative charge Q placed at a point P' located a small distance (in the plane of the ring) from the geometric center of the ring acts as if it

Consider a (two-dimensional) ring of positive charge, uniformly distributed. The force on a negative charge Q placed at a point P* located a small distance (along an axial line, perpendicular to the plane of the ring) from the geometric center of the ring acts as if it

Consider a (two-dimensional) ring of positive charge, uniformly distributed. For a positively charged ring and a point charge Q near its geometric center, Q undergoes one-dimensional SHM for this single conjunction of cases: