Question

Three identical batteries each emf 4 V and zero of negligible internal resistance are connected as shown in figure below. The potential difference between the poiints A and G ($V_A-V_G$)

• A. 4 V
• B. $-4V$
• C. 8 V
• D. $-8V$

Answer 1

The correct option is B $-4V$

Current in ABCDA loop : $I_1=\frac{4}{2+2}=1A$
Current in EFGHE loop : $I_2=\frac{4}{3+3}=2/3A$
Applying KVL A to G, $V_A+2I_1+4-3I_2=V_G$
or $V_A-V_G=3I_2-2I_1-4=3\left(2/3\right)-2-4=-4$ V