# Exploring electromagnetism 1!

$$PQ$$ is an infinite conductor carrying a current $$I$$. $$AB$$ and $$CD$$ are smooth conducting rods on which a conductor $$EF$$ moves with constant velocity $$v$$ as shown. The resistance of the resistor is $$R$$.

Find the magnitude of force in Newton needed to maintain constant speed of $$EF$$.

Details and assumptions:

• $$I=10\text{ A}$$
• $$b = 20\text{ m}$$
• $$a = 2\text{ m}$$
• $$v = 10\frac{\text{m}}{\text{s}}$$
• $$R=10\;\Omega$$
• Take the volumetric susceptibility of the medium surrounding the system to be 0.
• Multiply the magnitude of force by $$10^{12}$$ and then report the answer.
• Give answer to 3 decimal places.
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