What is the equation for current in a sliding bar in a uniform magnetic field?

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To find the equation for current in a sliding bar within a uniform magnetic field, Faraday's Law is a key principle to consider. The bar's movement in the magnetic field induces an electromotive force (EMF), leading to a clockwise current. The Lorentz Force also plays a crucial role in understanding the dynamics of the system. The relationship between the induced EMF, the velocity of the bar, and the magnetic field strength is essential for deriving the current equation. Understanding these concepts will provide the necessary framework to solve the problem effectively.
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Problem #1:
The problem is this:

A bar is attached to two rods and its acceleration is increasing towards the right. The bar is located in a uniform magnetic field pointing out of the page, towards you. Thus, the current moves clockwise. Find an equation for the current.

So far, my only lead is to use Faraday's Law... Any help is extremely appreciated!
 
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