A metal wire has a uniform circular cross-section of diameter d d\,d and length LLL. Which statement correctly describes the relationship between its electrical resistance R R\,R and its dimensions?
RRR is directly proportional to its length and inversely proportional to its diameter.
RRR is directly proportional to the square of its length and inversely proportional to its diameter.
RRR is directly proportional to its length and inversely proportional to the square of its diameter.
RRR is inversely proportional to its length and directly proportional to the square of its diameter.
452 exam-style questions on CIE IGCSE Physics 4.2 Electrical quantities, covering 4.2.1a Positive and negative charge, 4.2.1b Charging by friction and detecting charge, 4.2.1c Electrical conductors and insulators, 4.2.1d Electric fields and electric field patterns, 4.2.2a Electric current, charge and measuring current, 4.2.2b Conduction in metals and the direction of current, 4.2.2c Direct current and alternating current, 4.2.3a Electromotive force, 4.2.3b Potential difference and voltmeters, 4.2.4a Resistance, 4.2.4b Resistance of a metallic wire, 4.2.4c Current–voltage graphs, and 4.2.5 Electrical energy and electrical power. Each one has a worked solution and a mark scheme showing where the marks go.