2 A current is obtained when a 2 Ωresistor is connected with battery having r Ωas internal resi

step 1 when 2 -on -strands is connected to R -on, then current is because 2 mpm. And second condition,

2 A current is obtained when a 2 Ωresistor is connected...

$2 \mathrm{~A}$ current is obtained when a $2 \Omega$ resistor is connected with battery having $r \Omega$ as internal resistance $0.5 \mathrm{~A}$ current is obtained if the above battery is connected to $9 \Omega$ resistor. Calculate the internal resistance of the battery. (A) $0.5 \Omega$ (B) $(1 / 3) \Omega$ (C) $(1 / 4) \Omega$ (D) $1 \Omega$

$2 \mathrm{~A}$ current is obtained when a $2 \Omega$ resistor is connected with battery having $r \Omega$ as internal resistance $0.5 \mathrm{~A}$ current is obtained if the above battery is connected to $9 \Omega$ resistor. Calculate the internal resistance of the battery.
(A) $0.5 \Omega$
(B) $(1 / 3) \Omega$
(C) $(1 / 4) \Omega$
(D) $1 \Omega$

Key Concepts

Ohm's Law

Ohm's Law is a fundamental principle in electrical circuits that states the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. This law is critical in relating voltage, current, and resistance in circuits, enabling the calculation of circuit parameters when certain values are known.

Series Combination of Resistances

When resistances are connected in series, the total resistance is the sum of the individual resistances. In the context of a battery circuit, the internal resistance of the battery and the external load resistance add together to form the total resistance that affects the current flow. Understanding series combinations is crucial for analyzing how variations in internal or load resistance impact the overall performance of the circuit.

Internal Resistance

Internal resistance is an inherent property of a battery that represents the opposition to the flow of current within the battery itself. This resistance causes a voltage drop inside the battery when current flows, reducing the terminal voltage available to an external circuit. It is an essential concept for understanding how batteries behave under load conditions, particularly when connecting various resistive loads.

Electromotive Force (EMF)

EMF is the ideal voltage provided by a battery when no current is drawn, representing the energy per unit charge available from the battery. In real circuits, the terminal voltage (the observable voltage) is reduced by the voltage drop across the internal resistance. EMF provides a basis for calculating the effects of both internal and external resistances in determining the current in a circuit.

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