In the given circuit, the current flowing through the resistance 20Ω is 0.3 A, while the ammeter reads 0.9 A. The value of R₁ i $s ______$ Ω.

Question

In the given circuit, the current flowing through the resistance 20Ω is 0.3 A, while the ammeter reads 0.9 A. The value of R₁ i s ______ Ω.

G1 Physics · Accepted Answer

Image Given, i₁ = 0.3 A, i₁ + i₂ + i₃ = 0.9 A So, V(AB) = i₁ × 20Ω = 20 × 0.3 V = 6 V i₂ = 6V/15Ω = 2/5 A i₁ + i₂ + i₃ = 9/10 A 3/10 + 2/5 + i₃ = 9/10 7/10 + i₃ = 9/10 i₃ = 0.2 A So, i₃ × R₁ = 6 V (0.2)R₁ = 6 R₁ = 6/0.2 = 30Ω