Having difficulty finding the direction of the induced currents

In summary, Lenz's law is best understood through the use of the right-hand rule, specifically the closed fist version. This states that current in the direction of your thumb creates a magnetic field that wraps around as the rest of your fingers. Induction is reciprocal and follows the same principle. In terms of calculations, it is important to consider the sign of the results and what conclusions can be drawn from them. This concept often leads to humorous memories in EE and Physics classes, where students frantically gesture the right-hand rule during exams.
  • #1
godiswatching_
12
1
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
$$\epsilon = -\frac{d\phi}{dt} = -Bav$$
$$I = \frac{| \epsilon|}{R}$$
Screen Shot 2021-12-12 at 3.30.18 PM.png
 
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  • #2
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.
 
  • #3
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.
 

1. What is the cause of difficulty in finding the direction of induced currents?

The difficulty in finding the direction of induced currents is primarily due to the changing magnetic field that induces the currents. This changing field can be caused by various factors such as moving magnets, changing electric currents, or even changes in the Earth's magnetic field.

2. How can I determine the direction of induced currents?

To determine the direction of induced currents, you can use the right-hand rule. This rule states that if you point your right thumb in the direction of the changing magnetic field, the curled fingers will indicate the direction of the induced currents. Alternatively, you can also use the Lenz's law, which states that the direction of induced currents will oppose the change in the magnetic field.

3. Are there any other methods for finding the direction of induced currents?

Yes, there are other methods for finding the direction of induced currents. One method is using the Fleming's right-hand rule, which is similar to the right-hand rule but also takes into account the direction of motion of a conductor in the magnetic field. Another method is using the dot and cross product rules, which involve vector calculations to determine the direction of induced currents.

4. What are some common applications of induced currents?

Induced currents have various applications in industries such as power generation, motors, and transformers. They are also used in devices like generators, microphones, and electric guitars. Additionally, induced currents play a crucial role in technologies like wireless charging and magnetic levitation.

5. How can I reduce the difficulty in finding the direction of induced currents?

One way to reduce the difficulty in finding the direction of induced currents is by using tools such as a compass or a magnetic field sensor. These tools can help you determine the direction of the changing magnetic field and, in turn, the direction of the induced currents. Additionally, having a strong understanding of the principles and laws governing induced currents can also make it easier to determine their direction.

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