A Conducting Rod with a Length $\ell = 25 \mathrm {~cm}$

Multiple Choice

A conducting rod with a length $\ell = 25 \mathrm {~cm}$ is placed on a U-shaped metal wire that is connected to a lightbulb having a resistance of $8.0 \Omega$ as shown in the figure. The wire and the rod are in the plane of the page. A constant uniform magnetic field of strength $0.40 \mathrm {~T}$ is applied perpendicular to and into the paper. An external applied force moves the rod to the right with a constant speed of $6.0 \mathrm {~m} / \mathrm { s }$ . What are the magnitude and direction of the induced current in the circuit?

A) $75 \mathrm {~mA}$ counterclockwise
B) $75 \mathrm {~mA}$ clockwise
C) $17 \mathrm {~mA}$ counterclockwise
D) $17 \mathrm {~mA}$ clockwise
E) $52 \mathrm {~mA}$ clockwise