Ten resistors, each of resistance 10 Ω, can be connected to obtain maximum and minimum equivalent resistance. Find the ratio R(max)/R(min).
Physics · Circular Motion
JEE Mains 10 April 2023 Shift 1 Morning Shift

Question

Ten resistors, each of resistance 10 Ω, can be connected to obtain maximum and minimum equivalent resistance. Find the ratio R(max)/R(min).

G1 Physics · Accepted Answer

Maximum resistance occurs when all 10 resistors are in series: R(max) = 10×10 = 100 Ω Minimum resistance occurs when all 10 resistors are in parallel: R(min) = 10/10 = 1 Ω Therefore, R(max)/R(min) = 100/1 = 100 Final value: 100