Q. What is the potential drop between points A and C in the following circuit? Resistances 1$\ \Omega$ and 2$\ \Omega$ represent the internal resistance of the respective cells

A) 1.75V
B) 2.25V
C) $\frac{5}{4}V$
D) $\frac{4}{5}V$
Explanation

(b) Emf’s $E_{1}$ and $E_{2}$ are opposing each other. Since $E_{2} > E_{1}$ so, current will move from right to left.
Current in circuit
$i = \frac{E_{2} - E_{1}}{R + r_{1} + r_{2}}$
$\ \ \ = \frac{4 - 2}{5 + 1 + 2} = \frac{2}{8} = 0.25A$
The potential drop between points A and C is
$V_{A} - V_{C} = E_{1} + ir_{1}$
$= 2 + (0.25 \times 1)$
$= 2.25V$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.