Question

A current 2A flows in an electric circuit as shown in figure.
The current through branch AB is :
4
(A) 2A
(B)
1
3
2
(C)
A
(D)
1A
3
B​

Answer 1

Answer:

2A is the right answer ......

Answer 2

Answer:

The current in the branch AB will be 0.66 Amperes.

Explanation:

From the current division rule:

current in the 1st 3Ω resistor in branch PA

= 2 x 6/9

= 4/3 A

current in the 1st 6Ω resistor in branch PB

= 2 x 3/9

= 2/3 A

Again these current will divide to the second parallel set of resistors,

Hence current in 2nd 3Ω resistor in branch BQ from the branch PA

= 4/3 x 6/9

= 8/9 A

similarly current in 2nd 6Ω resistor in branch AQ from the branch PB

= 2/3 x 3/9

= 2/9 A

Hence current in the branch AB

= 8/9  -  2/9

= 6/9

= 0.66A

Hence the current in the branch AB will be 0.66 Amperes.