In figure 5 below, calculate the values of (i) VAF
(ii)VEA and (iii)VFB
(ii)VEA and (iii)VFB
Solution
It should be noted that VAF stands for the
potential of point A with respect to point F. The easiest way of finding it is
to start from the reference point F and go to point A along any available path
and calculate the algebraic sum of the voltages met on the way. Starting from
point F as we go to point A, we come across different battery voltages. Taking
the sign convention, we get
potential of point A with respect to point F. The easiest way of finding it is
to start from the reference point F and go to point A along any available path
and calculate the algebraic sum of the voltages met on the way. Starting from
point F as we go to point A, we come across different battery voltages. Taking
the sign convention, we get
(i)
VAF = -24 + 4 + 8 – 6 + 12 = – 6V
VAF = -24 + 4 + 8 – 6 + 12 = – 6V
The
negative sign shows that point A is negative with respect to point F by 6V.
negative sign shows that point A is negative with respect to point F by 6V.
(ii) Similarly, VEA = – 12 + 6 -8 – 4 = – 18V
(iii) Starting from point B, we get VFB = 6 – 8 – 4
+ 24 = 18V.
+ 24 = 18V.
Since the result is positive, it means that point F is at a
higher potential than B by 18V.
higher potential than B by 18V.