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

1/3 Ω

1/4 Ω

1 Ω

0.5 Ω

Name: Wired Faculty - The Best Learning App
Rating: 4.6 (1864 reviews)

Solution

1/3 Ω

Current space straight i space equals space fraction numerator straight E over denominator straight R space plus straight r end fraction 2 space equals space fraction numerator straight E over denominator straight R space plus straight r end fraction 0.5 space equals space fraction numerator straight E over denominator 2 space plus straight r end fraction space space... space left parenthesis straight i right parenthesis 0.5 space equals space fraction numerator straight E over denominator 9 space plus straight r end fraction.... space left parenthesis ii right parenthesis From space equation space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis comma space we space have fraction numerator 2 over denominator 0.5 end fraction space equals space fraction numerator 9 space plus straight r over denominator 2 space plus space straight r end fraction 3 straight r space equals space 1 space straight r space equals space 1 third straight capital omega

For Daily Free Study Material Join wiredfaculty