A Conducting Rod Whose Length Is $\ell = 25 \mathrm {~cm}$

A conducting rod whose length is $\ell = 25 \mathrm {~cm}$ 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 out of the paper. An external applied force moves the rod to the left with a constant speed of $12 \mathrm {~m} / \mathrm { s }$ . What are the magnitude and direction of the induced current in the circuit?

A) $150 \mathrm {~mA}$ clockwise
B) $100 \mathrm {~mA}$ clockwise
C) $34 \mathrm {~mA}$ clockwise
D) $34 \mathrm {~mA}$ counterclockwise
E) $150 \mathrm {~mA}$ counterclockwise