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AB and CD are two uniform resistance wir...

AB and CD are two uniform resistance wires of lengths 100 cm and 80 cm respectively. The connections are shown in the figure. The cell of emf 5 V is ideal while other cell of emf E has internal resistance `2 Omega`. A length of 20 cm of wire CD is balanced by 40 cm of wire AB. Find the emf E in volt, if the reading of the ideal ammeter is 2A. The other connection wires have negligible resistance.

Text Solution

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The correct Answer is:
6
Potential difference across wire `AB=5V`
`:. p.d.` across `40cm` of this wire `=5/100xx40=2V`
`:. p.d.` across `20 cm` of wire `CD=2V`
`:. p.d.` across wire `CD=2/20xx80=8V`
p.d. across `2Omega` resistor `=2xx2=4V`
`:.` emf of the cell `=12V`
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