Two parallel wires carry currents I₁ and I₂ = 2I₁ in the same direction.Which of the following expressions shows the relationship of the forces on the wires? A)F₁ = F₂ B)F₁ = 2F₂ C)2F₁ = F₂ D)F₁ = 4F₂ E)4F₁ = F₂

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Quizplus · Accepted Answer

The force between two parallel currents is given by the formula $F = \frac{\mu_0 I_1 I_2 L}{2\pi d}$, where $I_1$ and $I_2$ are the currents in the wires, $L$ is the length of the wires, $d$ is the distance between them, and $\mu_0$ is the magnetic constant. Since the force depends directly on the product of the two currents and both wires experience the same magnetic environment, if one current is doubled, the force on each wire due to the other also doubles, maintaining the equality of forces on both wires due to Newton's third law.

Two Parallel Wires Carry Currents I1 and I2 = 2I1

Two Parallel Wires Carry Currents I₁ and I₂ = 2I₁