If in Fig. 12.12, `R_(1)=10Omega, R_(2)=40Omega, R_(3)=30Omega, R_(5)=60Omega,` and a 12 V battery is connected to the arrangemtn. Calculate (a) the total resistance in the circuit, and (b) the total current flowing in the circuit.

Explanation

To solve the problem step by step, we will calculate the total resistance in the circuit and then use that to find the total current flowing through the circuit.

### Given:
- \( R_1 = 10 \, \Omega \)
- \( R_2 = 40 \, \Omega \)
- \( R_3 = 30 \, \Omega \)
- \( R_4 = 20 \, \Omega \)
- \( R_5 = 60 \, \Omega \)
...