The following is a circuit diagram for the circuit shown below: What is the worth of the following: a) What is the current through the 6 resistor? b) What is the potential difference between 12 resistors?
The following is a circuit diagram for the circuit shown below: What is the worth of the following: a) What is the current through the 6 resistor? b) What is the potential difference between 12 resistors?

 

 

 

answer:

Assume the following circuit:

V = 4V

 

Total resistance in line 1 = R1 = 6 + 3 = 9 Ω

 

Total resistance in line 2 = R2 = 12 + 3 = 15 Ω

a) Current flowing through resistor 6 is equal to current flowing through line 1 = V/R1 = 4/9 = 0.44

 

b) The potential difference between lines 2 and 3 is 4V.

 

V/R2 = 4/15 (current through line 2)

 

Difference in potential across 12 resistors = (4/15) 12 = 3.2V