For these two questions, first you need to know that the voltage across each branch of a parallel circuit is the same.
So, for Q5, we can first find out the voltage across R₂ by V=IR.
Voltage across R₂ = 2.5 × 8 = 20V
Since R₂ and R₃ are in parallel circuit, their voltage should be the same. Thus, voltage across R₃ is 20V.
So, by V=IR,
current of R₃ = [tex]\frac{20}{4}[/tex] = 5A
Q6. voltage across R₁ = 2 × 4 = 8V
∴voltage across R₂ = 8V
current of R₂ = [tex]\frac{8}{8}[/tex] = 1A
From these two examples, you can find out that the current of each branch of the parallel circuit is inversely proportional to the resistance of the branch.
ie. for Q5,
[tex]\frac{R2}{R3}[/tex] = [tex]\frac{I3}{I2}[/tex]
[tex]\frac{8}{4}[/tex] = [tex]\frac{I3}{2.5}[/tex]
I₃ = 5A
Q6. [tex]\frac{R1}{R2}[/tex] = [tex]\frac{I2}{I1}[/tex]
[tex]\frac{4}{8}[/tex] = [tex]\frac{I2}{2}[/tex]
I₂ = 1A