Question

What is Effective Resistance?

Answer 1

Hint: Effective Resistance refers to the resistance between two points in any electric network in any electric circuit. The total resistance of all the resistors used in any electric circuit where the resistor is two or more is the effective resistance of the circuit. Effective Resistance can be different in series and parallel circuit.

Complete step-by-step solution:
In any electric circuit where all the resistor connected in any connection i.e. series or parallel. The total resistance that the circuit passes through the circuit by all the resistors is the effective resistance of the electric circuit.
Formula for Effective Resistance in any series connection resistor will be
$R=~{{R}_{1}}+{{R}_{2}}+{{R}_{3}}+....+{{R}_{n}}$
Formula for Effective Resistance in parallel combination resistor will be
$\dfrac{1}{R}=\dfrac{1}{{{R}_{1}}}+\dfrac{1}{{{R}_{2}}}+\dfrac{1}{{{R}_{3}}}+...+\dfrac{1}{{{R}_{n}}}$
Effective Resistance is the Single Resistor which replaces two or more resistors so that they can give the same effect on the circuit by allowing the same amount of current. In several electric devices a large number of resistors are connected in different ways and Ohm’s law is applicable in all the connected resistors. The total resistance across the battery is the effective resistance. In any huge and big complicated electric circuit, the effective resistance is the total resistance across the circuit.

Note: The thought of effective resistance becomes attention-grabbing once associated with reactive circuits, that is the circuits together with inductors or/and capacitors, operating with variable voltages and currents (usually sinusoidal), and makes use of the thought of advanced resistivity. In series connection, the effective resistance R, is always larger than the largest of the individual resistances.