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BITSAT2014PhysicsElectrostaticsActual

Two long coaxial and conducting cylinders of radius a and b are separated by a material of conductivity and a constant potential difference V is maintained between them, by a battery. Then the current, per unit length of the cylinder flowing from one cylinder to the other is -

Options

  1. A4 (b / a) V
  2. B4 (b+a) V
  3. C2 (b / a) V
  4. D2 (b+a) V

Correct answer

C. 2 (b / a) V

Step-by-step solution

V = _ a ^ b E d = 2 ₀ r ( b a ) Now, I= E d A = 2 ₀ r 2 d r= ₀ From (1) : I= 2 ₀ ₀ (b / a) = 2 (b / a) v

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