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AP EAMCET202018 Sep 2020Evening ShiftPhysicsElectromagnetic InductionActual

A coil of inductance (L ) is divided into four equal parts and all the parts are connected in parallel. The effective inductance of the combination is

Options

  1. A( L 4 )
  2. B( L 8 )
  3. C( L 16 )
  4. D(4 L )

Correct answer

C. ( L 16 )

Step-by-step solution

Since, coil of inductance (L ) is divided into four equal parts. Hence, inductance of each part is same and equal to ( L 4 ). i.e., ( L₁=L₂=L₃=L₄= L 4 ) Since, (L₁, L₂, L₃ ) and (L₄ ) are connected in parallel. Hence, effective inductance (L^ ) of the combination is given as ( aligned 1 L^ & = 1 L₁ + 1 L₂ + 1 L₃ + 1 L₄ & = 1 L / 4 + 1 L / 4 + 1 L / 4 + 1 L / 4 & = 4 L + 4 L + 4 L + 4 L 1 L^ & = 16 L L^ = L 16 aligned )

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