Three resistors R1, R2, and R3 of 5 ohms, 10 ohms, and 30 ohms, respectively, are connected as follows in the circuit diagram: Calculate: the circuit’s total resistance
Three resistors R1, R2, and R3 of 5 ohms, 10 ohms, and 30 ohms, respectively, are connected as follows in the circuit diagram: Calculate: the circuit’s total resistance

Answer:

Given,

 

V = 12V

R1, R2, and R3 are linked in a series.

 

Current through R1 = V/R1 = 12/5 = 2.4 A

Current through R2 = V/R2 = 12/10 = 1.2 A

 

Current through R3 = V/R3 = 12/30 = 0.4A

 

Circuit total current = 2.4 + 1.2 + 0.4 = 4A

 

The circuit’s total resistance is equal to R.

 

1/R is equal to 1/R1 + 1/R2 + 1/R3

 

1/R = 1/5 + 1/10 + 1/30

 

1/R = 10/30

 

R = 3 ohm