Current Electricity Charging Discharging Of Capacitors Question 179
Question: Following figure shows cross-sections through three long conductors of the same length and material, with square cross-section of edge lengths as shown. Conductor B will fit snugly within conductor A, and conductor C will fit snugly within conductor B. Relationship between their end to end resistance is
Options:
A) RA = RB = RC
B) RA > RB > RC
C) RA < RB < R
D) Information is not sufficient
Show Answer
Answer:
Correct Answer: A
Solution:
All the conductors have equal lengths. Area of cross-section of A is $ {{{(\sqrt{3},a)}^{2}}-{{(\sqrt{2},a)}^{2}}}=a^{2} $ Similarly area of cross-section of B = Area of cross-section of C = a2 Hence according to formula $ R=\rho \frac{l}{A}; $ resistances of all the conductors are equal i.e. RA = RB = RC
BETA
