A current of 2 A flows through a 2Ω resistor when connected across a battery. The same battery supplies a current of 0.5 A when connected across a 9Ω resistor. The internal resistance of the battery i

Question

A current of 2 A flows through a 2Ω resistor when connected across a battery. The same battery supplies a current of 0.5 A when connected across a 9Ω resistor. The internal resistance of the battery is

TestHub · Accepted Answer

Current i = R + r E ​ 2 = 2 + r E ​ ... ( i ) 0.5 = 9 + r E ​ ... ( ii ) ​ From Eqs. (i) and (ii), we have 0.5 2 ​ = 2 + r 9 + r ​ ⇒ 4 = 2 + r 9 + r ​ 3 r = 1 ∴ r = 3Ω 1 ​ ​

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