The magnitude and direction of the current in the circuit shown will be

Options

A. `(7)/(3) A` from `a` to `b` through `e`
B. `(7)/(3) A` from `b` to `a` through `e`
C. `1 A` from `b` to `a` through `e`
D. `1 A` from `a` to `b` through `e`

Answer

D

Explanation

(d) Since `E_(1) (10 V) gt E_(2) (4V)`
So current in the circuit will be clockwise.
Applying Kirchhoff's voltage law
`- 1 xx i+ 10 - 4 - 2 xx i- 3i = 0 implies i= 1 A` (a to b via e)
`:.` Current `= (V)/(R ) = (10 - 4)/(6) = 1.0` ampere