A circuit consists of five identical conductors as shown in...

A circuit consists of five identical conductors as shown in figure the two similar conductors are added as indicated by the dotted lines. The ratio of resistances before and after addition will be
(A) (7/5)
(B) $(3 / 5)$
(C) $(5 / 3)$
(D) $(6 / 5)$

Key Concepts

Resistors in Series

This concept deals with resistors connected one after another in a single path, where the total resistance is simply the sum of the individual resistances. It is a fundamental principle used to calculate the overall resistance in circuits where current passes sequentially through multiple elements.

Resistors in Parallel

In parallel connections, resistors are connected across the same two nodes, so that the voltage across each resistor is the same while the currents through them add up. The equivalent resistance in a parallel network is found using the reciprocal formula, which results in a total resistance that is less than the smallest individual resistor.

Equivalent Resistance

Equivalent resistance refers to a single resistance value that can replace a complex network of resistors without affecting the overall electrical properties of the circuit. It is calculated by combining the effects of both series and parallel resistor configurations systematically.

Circuit Analysis Techniques

This involves a range of methods used to simplify and understand electrical circuits, including recognizing series and parallel arrangements, applying symmetry, and reducing complex networks into simpler equivalent circuits. These techniques are crucial for predicting the behavior of circuits and for calculating key parameters such as total resistance.

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