Consider current I passing through a resistor of radius r, length L, and resistance R. Determine the electric and magnetic fields at the surface of the resistor. Assume that the electric field is uniform throughout, including at the surface.

Ohm's Law states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor. This relationship is expressed mathematically as V = IR. Understanding this law is essential for analyzing how current interacts with resistance in the resistor.

An electric field is a region around a charged object where other charged objects experience a force. The electric field (E) can be defined as the force (F) per unit charge (q), given by E = F/q. In the context of the resistor, the electric field is uniform and drives the flow of current through the material, influencing how charges move within the resistor.

A magnetic field is generated around a conductor when an electric current flows through it. According to Ampère's Law, the magnetic field (B) around a long straight conductor is proportional to the current (I) and inversely proportional to the distance (r) from the conductor, expressed as B = (μ₀I)/(2πr) in free space. This concept is crucial for understanding the magnetic effects produced by the current in the resistor.