Question

Find the current in each resistor in the circuit shown below: 

Answer 1

In the given circuit, two 6 Ω and 4 Ω resistors are connected in parallel combination across a cell of 24 V. We know that in a parallel combination, the voltage across the resistor remains the same and only the current gets divided. So the current (I₁) through the 6 Ω resistor is: 

`I_1=V/R_1` 

here R_1=6Ω 

V=24V 

so 

`I_1=24/6` 

`or I_1=4A 

`The current (l_2) through the 4 resistors is :`   

`I_2=V/R_2` 

R_2=4Ω 

`I=24/4` 

`or I=6A`