Magnetic Fields

Decreases with the inverse of squared distance

Increases with distance

Remains constant regardless of distance

Decreases linearly with distance

Halving both its diameter and carrying current

Quadrupling just its carrying current while other factors remain unchanged

Doubling just its carrying current while maintaining all other parameters constant

Doubling both its radius and carrying current while keeping it centered on its original axis

The magnetic field due to a current-carrying wire.

The electric field inside a capacitor.

The force between two point charges.

The resistance in an electrical circuit.

The orientation of an induced emf in a loop of wire.

The direction of the magnetic field lines around a straight conductor.

The path taken by protons moving perpendicular to an electric field.

The direction of electron flow in a circuit.

Electric repulsion between them diminishes as relativistic effects make electrons appear slower thus reducing net negative charge seen by an observer.

Magnetic attraction between them appears increased due to enhanced charge density from length contraction even though their currents remain unchanged.

No change occurs because relativistic effects are symmetrical therefore cancel out when considering electromagnetic interactions between two similar conductors.

Magnetic repulsion increases as relativistically contracted electrons behave like faster-moving charges generating stronger opposing fields despite steady currents.

Tangential magnetic field lines surround the hole in an inner circle of increasing radius with decreasing field strength as distance from hole increases

Radial magnetic field lines emanate outward from the puncture hole while current distributes evenly across the plane

Uniform magnetic field lines pass straight through the hole without deflection or distortion due to current flow

Parallel magnetic field lines encircle the hole with direction given by right-hand rule as current circulates through the plane around the puncture

Directed along loop's axial alignment according to right-hand rule where thumb points with current direction

Perpendicular to axis of loop and towards the current flow's direction

Circular direction tangent to any given point on the loop's circumference

Along the loop's inner radius facing away from center if viewed from above

The magnetic field doubles.

The magnetic field halves.

The magnetic field remains unchanged.

The magnetic field quadruples.

Tangent to the loop at any given point on it

Perpendicular to the plane of the loop at every location around it

Directly radially outward away from the center of the loop

Directly radially inward towards the center of the loop

It is greater than that of the circular loop due to Ampère's Law indicating higher magnetic fields for polygons with an equal number of sides.

It is less than that of the circular loop because the Biot-Savart Law implies that sharper corners yield less contribution to the magnetic field.

It cannot be determined without knowing the exact dimensions of both loops, as shape alone doesn't define magnetic fields.

It is equal to that of the circular loop since both shapes enclose the same area and carry identical currents.