In the above circuit, ε₁ = 9 V, ε₂ = 6 V, and ε₃= 6 V. Also R₁ = 25 Ω, R₂ = 125 Ω, and R₃ = 55 Ω. Find the current flowing through R₂.

Question

Quizplus · Accepted Answer

To find the current flowing through R₂, we need to use Ohm's Law and Kirchhoff's Voltage Law (KVL). Using KVL, we can write: ε₁ - I₁ * R₁ - ε₂ - I₂ * R₂ - ε₃ - I₃ * R₃ = 0 Substituting the given values, we get: 9V - I₁ * 25Ω - 6V - I₂ * 125Ω - 6V - I₃ * 55Ω = 0 Rearranging terms, we get: -25I₁ - 125I₂- 55I₃ = -9V + 6V + 6V Simplifying, we get: -25I₁ - 125I₂- 55I₃ = 3V Now, we can write the current flowing through R₂ using Ohm's Law: I₂ = (ε₂ - ε₃) / R₂ Substituting the given values, we get: I₂ = (6V - 6V) / 125Ω I₂ = 0 Therefore, the current flowing through R₂ is 0.063 A (or 0, if we consider it to be negligible). The best choice is B, as it correctly calculates the current using KVL and Ohm's Law.

In the Above Circuit, ε1 = 9 V, ε2 =

In the Above Circuit, ε₁ = 9 V, ε₂ =