# Answers to Problems - The Current Divider

1. In the circuit illustrated below, two resistors are in parallel with a 120 V supply voltage. If the resistance values of R1 and R2 are 56 Ω and 100 Ω respectively, find the current flowing through each resistor (I1 and I2), the total current flowing through the circuit (IT), and the total circuit resistance (RT).

A current divider consisting of two resistors in parallel with a supply voltage

 I1  = 120 V =  2.143 A   (Ohm's law) 56 Ω

 I2  = 120 V =  1.2 A   (Ohm's law) 100 Ω

IT  =  2.143 A  +  1.2 A  =  3.343 A   (Kirchhoff's current law)

 RT  = 120 V =  35.896 Ω   (Ohm's law) 3.343 A

2. In the circuit illustrated below, three resistors are in parallel with a 24 V supply voltage. If the resistance values of R1, R2 and R3 are 15 Ω, 20 Ω and 10 Ω respectively, find the current flowing through each resistor (I1, I2 and I3), the total current flowing through the circuit (IT), and the total circuit resistance (RT).

A current divider consisting of three resistors in parallel with a supply voltage

 I1  = 24 V =  1.6 A   (Ohm's law) 15 Ω

 I2  = 24 V =  1.2 A   (Ohm's law) 20 Ω

 I3  = 24 V =  2.4 A   (Ohm's law) 10 Ω

IT  =  1.6 A  +  1.2 A  +  2.4 A  =  5.2 A   (Kirchhoff's current law)

 RT  = 24 V =  4.615 Ω   (Ohm's law) 5.2 A