Verified Solution • 2025–26 Session moderate

QJEEM19Ph3331: JEE Main 2019 Physics - Class 12 JEEM19Ph3331 Solution: Space between two concentric conducting spheres of radii a and…

Space between two concentric conducting spheres of radii a and b (b > a) is filled with a medium of resistivity ρ\rho . The resistance between the two spheres will be :

Multiple Choice Options

  • A ρ2π(1a+1b){\rho \over {2\pi }}\left( {{1 \over a} + {1 \over b}} \right)
  • B ρ4π(1a+1b){\rho \over {4\pi }}\left( {{1 \over a} + {1 \over b}} \right)
  • C ρ2π(1a−1b){\rho \over {2\pi }}\left( {{1 \over a} - {1 \over b}} \right)
  • D ρ4π(1a−1b){\rho \over {4\pi }}\left( {{1 \over a} - {1 \over b}} \right)

Step-by-Step Verified Solution

R=∫abρ dx4πx2R = \int\limits_a^b {{{\rho \,dx} \over {4\pi {x^2}}}}

=ρ4π(1a−1b)= {\rho \over {4\pi }}\left( {{1 \over a} - {1 \over b}} \right)

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