Q. In the circuit element given here, if the potential at point $B,\ V_{B} = 0,$ then the potentials of $A$ and $D$ are given as
A) $V_{A} = - 1.5V,\ V_{D} = + 2V$
B) $V_{A} = + 1.5V,\ V_{D} = + 2V$
C) $V_{A} = + 1.5\ V,V_{D} = + 0.5\ V$
D) $V_{A} = + 1.5V,\ V_{D} = - 0.5\ V$
Explanation
(d) Potential difference between $A$ and $B$
$V_{A} - V_{B} = 1 \times 1.5$
$\Rightarrow V_{A} - 0 = 1.5V \Rightarrow V_{A} = 1.5V$
Potential difference between $B$ and $C$
$V_{B} - V_{C} = 1 \times 2.5 = 2.5V$
$\Rightarrow 0 - V_{C} = 2.5V \Rightarrow V_{C} = - 2.5V$
Potential difference between $C$ and $D$
$V_{C} - V_{D} = - 2V \Rightarrow - 2.5 - V_{D} = - 2 \Rightarrow V_{D} = - 0.5V$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.