First slide

Writing potential drop across a open line

Question

In the circuit element shown here, if the potential at point B, $V_{B} = 0$ , then the potentials of A and D are given as

Moderate

A

$V_{A} = - 1 .5 V, V_{D} = + 2 V$
B

$V_{A} = + 1 .5 V, V_{D} = + 2 V$
C

$V_{A} = + 1 .5 V, V_{D} = + 0 .5 V$
D

$V_{A} = + 1 .5 V, V_{D} = - 0 .5 V$

Solution

In the given circuit between A and B,
$\begin{array}{l} V_{A} - 1 .5 \times 1 = V_{B} = 0 \\ ∴ V_{A} = + 1 .5 V \end{array}$
Between A and D,
$\begin{array}{l} V_{A} - 1 .5 \times 1 - 2 .5 \times 1 + 2 = V_{D} \\ V_{D} = - 0 .5 V \end{array}$

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