Step-by-step explanation:
Answer :-
→ Current in 10 Ω resistor = 4 A
→ Current in 20 Ω resistor = 2 A
→ Power of the 10 Ω resistor = 160 W
→ Power of the 20 Ω resistor = 80 W
Explanation :-
We have :-
→ 1st resistance (R₁) = 10 Ω
→ 2nd resistance (R₂) = 20 Ω
→ Total current (I) = 6 A
______________________________
The current in the 10 Ω resistor is :-
I₁ = (R₂/R₁ + R₂) × I
⇒ I₁ = (20/10 + 20) × 6
⇒ I₁ = 20/30 × 6
⇒ I₁ = 4 A
The current in the 20 Ω resistor :-
I₂ = (R₁/R₁ + R₂) × I
⇒ I₂ = (10/10 + 20) × 6
⇒ I₂ = 10/30 × 6
⇒ I₂ = 2 A
______________________________
Power of 10 Ω resistor :-
P₁ = I²₁ × R₁
⇒ P₁ = (4)² × 10
⇒ P₁ = 16 × 10
⇒ P₁ = 160 W
Power of 20 Ω resistor :-
P₂ = I²₂ × R₂
⇒ P₂ = (2)² × 20
⇒ P₂ = 4 × 20
⇒ P₂ = 80 W