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2. Electric Potential and Capacitance
medium
In moving from $A$ to $B$ along an electric field line, the electric field does $6.4 \times {10^{ - 19}}\,J$ of work on an electron. If ${\phi _1},\;{\phi _2}$ are equipotential surfaces, then the potential difference $({V_C} - {V_A})$ is.....$V$

A
$-4$
B
$4$
C
$0$
D
$64$
Solution
(b) Work done by the field $W = q( – dV) = – e({V_A} – {V_B})$
= $e({V_B} – {V_A})$ = $e({V_C} – {V_A})$ $(\because V_B = V_C)$
$==>$ $({V_C} – {V_A})$ $ = \frac{W}{e} = \frac{{6.4 \times {{10}^{ – 19}}}}{{1.6 \times {{10}^{ – 19}}}} = 4\,V$
Standard 12
Physics