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Combination Of Resistances / Parallel And Series / Class 10 / Science #ncert #physics

In an electric circuit, resistors can be connected in different ways to achieve desired resistance values. The two main types of combinations are series and parallel.

Series Combination:

Resistors are connected end to end.

The total or equivalent resistance increases.

Formula:

R_{\text{total}} = R_1 + R_2 + R_3 + \ldots

Parallel Combination:

Resistors are connected across the same two points.

The total resistance decreases.

Formula:

\frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \ldots

Mixed Combination (Series-Parallel):

In practical circuits, resistors are often combined in both series and parallel arrangements.

The equivalent resistance is calculated step by step, simplifying the circuit gradually.

These combinations help control current flow, voltage drops, and power distribution in electrical circuits.

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