A wire that has resistance R is cut into two equal pieces. The two parts are joined in parallel. What is the resistance of the combination? A wire that has a resistance, R is cut into two equal pieces. The two parts, each of resistance, R/2 are joined in parallel. The resistance of the parallel combination: `1/R^rho=1/R=1/R_1+1/R_2` `Here R^1=R/2` `=R_2=R/2` `1/Rrho=1/(R/2)+1/(R/2)` `1/Rrho=2/R+2/R` `1/Rrho=4//R` `Rrho=R/4` Thus, the resistance of the combination will be R/4. Concept: System of Resistors - Resistances in Parallel Is there an error in this question or solution? No worries! We‘ve got your back. Try BYJU‘S free classes today! Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Open in App 3 |