Physics Class 12 NCERT Solutions: Chapter 3 Current Electricity Part 4

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Difference between Series and parallel circuit

Difference between Series and Parallel Circuit

Q: 9. Determine the current in each branch of the network shown in figure:

Q 9 The Current in each Branch of the Network

Q 9 the Current in Each Branch of the Network

Answer:

Current flowing through various branches of the circuit is represented in the given figure.

Q 9 1 Branches of the Circuit

Q 9 1 Branches of the Circuit

Current flowing through the outer circuit

Current flowing through branch AB

Current flowing through branch AD

Current flowing through branch BC

Current flowing through branch CD

Current flowing through branch BD

For the closed circuit ABDA, potential is zero i.e.

For the closed circuit BCDB, Potential is zero

For the closed circuit ABCFEA, potential is zero i.e.,

From equations (1) and (2), we obtain

Putting equation (4) in equation (1), we obtain

It is evident from the given figure that,

Putting equation (6) in equation (1), we obtain

Putting equation (4) and (5) in equation (7), we obtain

Equation (4) reduces to

Therefore, current in branch

In branch

In branch

In branch

In branch

Total current