Question

Find the current flowing through each cell in the
circuit shown in Fig. 3.181. Also calculate the
potential difference across the terminals of each
cell.
​

Answer 1

Given :

Total circuits = 3

To Find:

Potential Difference across terminals

Solution:

For junction A - i1 + i2 + i3 = 0  -- eq 1

For loop 1 = -4 - 2i2 + i3 + 13 = 0

2i2 - i3 = 9

= i3 = 2i2 -9  -- eq 2

For loop 2 = -10 - i1 + 2i2 + 4 = 0

i1 = 2i2 - 6   -- eq 3

From 1, 2 and 3

212 - 6 + i2 + 2i2 - 9 = 0

5i2 = 15

i2 = 3A

Potential difference across each cell -  

e1 = Va - 10 - 0 = Vb = (Va-Vb) = 10V

e2 = Va - 4 - 6 = Vb = (Va-Vb) = 10V

e3 = Va - 13 - 1(-3) = Vb = (Va-Vb) = 10V