# Parallel conductors

We have three infinite straight conductors carrying current as shown above. Let $$I_n$$ be the current on the $$n^\text{th}$$ conductor. Find the force per unit length $$\frac{\vec{F_3}}{l}$$ on conductor 3. If $$\frac{\vec{F_3}}{l}=a\sqrt{b}\times 10^{-c} \frac{\text{N}}{\text{m}} \angle \theta$$, find $$a+b+c+\theta$$.

Details and assumptions

• $$I_1=5\text{ A}$$, $$I_2=10\text{ A}$$, $$I_3=20\text{ A}$$
• $$a$$, $$b$$, $$c$$ and $$\theta$$ are positive integers, $$b$$ is a square-free number, $$1\leq a \leq 9$$ and $$0^\circ < \theta < 360^\circ$$.
• $$\times$$ (a cross) means that the current goes inside the screen, and $$\cdot$$ (a dot) means that the current goes outside the screen.
• $$\vec{r}=r\angle\theta$$ is a vector with magnitude $$r$$ and angle $$\theta$$ with respect to the positive x-axis.
×

Problem Loading...

Note Loading...

Set Loading...