Q: Find current passing through given circuit.
Solution: Through the circuit 3k Ω is in parallel with 6k Ω,
Therefore, 3k||6k = (3 x 6)/ (3 + 6)
= 18/9 =2k Ω
Through the circuit 4kΩ is series with 2kΩso their joint effect = 2k + 4k = 6kΩ.
Now through the circuit 6k Ω is in parallel along with 12k Ω therefore
6k||12k = (6 x 12)/ (12+6)
= 72/18
= 4k Ω
The resistors 4kΩ, 2kΩ, 4kΩ are in series therefore the joint effect will be = 2k+4k+4 =10kΩ
Hence, the current passing through all of the Resistors by Ohm's law will be
I=V/R
=20/10k =2mA Ans.