Engineering Having difficulty finding the direction of the induced currents

[godiswatching_]

Homework Statement

In the image.

I can find the magnitudes easily. But I am having trouble understanding the directions of $$I_1$$ $$I_2$$ $$I_{res}$$

Relevant Equations

$$\epsilon = -\frac{d\phi}{dt} = -Bav$$
$$I = \frac{| \epsilon|}{R}$$

 

[Merlin3189]

I would think about Lenz's law.

If you're more mathematically inclined, as I think is the favoured practise, show your calculations and say what conclusions you reach from the sign of the results.

 

[jsgruszynski]

Right-hand rule is your friend - specifically closed fist version - current in the direction of your thumb creates a magnetic field that wraps as the rest of your fingers. Induction is reciprocal and exactly the same.

I have found and humorous memories of both EE and Physics classes during exams with everyone wildly gesticulating the Right Hand Rule in the air as they tried to orient the answers.