JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech II NETWORK THEORY Previous Question Paper (September - 2021 - R18)

In a series connection, resistors are connected end-to-end such that the same current flows through each component. The total equivalent resistance is the algebraic sum of individual resistances:

In a parallel connection, resistors are connected across the same two nodes, meaning the voltage across each resistor is identical. The reciprocal of the equivalent resistance is the sum of the reciprocals of individual resistances:

To determine the equivalent inductances for a T-network (star) and a Pi-network (delta) of inductors, we apply the transformation formulas analogous to resistive networks. Assuming the figure represents a transformation between a star network with inductors L₁, L₂, and L₃ and a delta network with inductors L_A, L_B, and L_C:

• The star-to-delta transformation is given by:
  L_A = (L₁L₂ + L₂L₃ + L₃L₁) / L₃
• The delta-to-star transformation is given by:
  L₁ = (L_A * L_C) / (L_A + L_B + L_C)
• L₂ = (L_A * L_B) / (L_A + L_B + L_C)
• L₃ = (L_B * L_C) / (L_A + L_B + L_C)

By substituting the given values from the provided figure into these equations, the equivalent values for L₁, L₂, and L₃ are calculated.