For the circuit shown in the figure. Find the emf (in mV) of the unknown battery E. The ammeter represented by the symbol A can be considered perfect (i.e. no resistance) and it reads the current in the wire to be 0.5 A in the direction shown.

Engineering

Physics

SI Units

Basic Circuit Theory and Kirchoffs Law for DC Circuit

RC Circuit

Question

For the circuit shown in the figure. Find the emf (in mV) of the unknown battery E. The ammeter represented by the symbol A can be considered perfect (i.e. no resistance) and it reads the current in the wire to be 0.5 A in the direction shown.

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For the mesh BCFEB,

$- 12 - 4 I - 6 (I + \frac{1}{2}) + 4 = 0$

⟹ – 8 – 10I – 3 = 0
⟹ I = –1.1A
For the mesh ABCDA,

$- 12 - 4 I + 2 (\frac{1}{2}) + E = 0$

∴ –12 + 4.4 + I + ε = 0
∴ E = 6.6 V = 6600 mV