Direction of induced EMF in loop

In summary, the conversation discusses Faraday's and Lenz' law, as well as the direction of induced emf and magnetic fields. The attempt at a solution involves using the right-hand rule and understanding Lenz' law to determine the direction of the magnetic field and induced emf in a loop. The conversation also includes a question about graphing sin2πt and clarifying a misunderstanding about its direction.
  • #1
iharuyuki
16
1

Homework Statement


upload_2015-4-14_14-46-44.png


Homework Equations



Faraday's and Lenz' law.

emf = -d(ф)/dt

The Attempt at a Solution


The current is increasing upwards during that time interval.
Thus, by Right-Hand-Rule, the magnetic field goes into the page at the loop.
Lenz' law says that the loop's induced emf will produce a magnetic field that opposes the field from the wire.
Thus a magnetic field in the opposite direction, out of page, would mean, by RHR, that the induced emf is counter-clockwise.

This is however not the answer. Which one of the above statements is flawed?

Thank you very much.
 
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  • #2
Draw the graph of sin2πt and check if it increases from 0.25 to 0.3
 
  • #3
Oh I understand that it decreases actually. I had only punched sin (2pi(0.28)) into a calculator and it gave me a positive. Thank you.
 

Related to Direction of induced EMF in loop

1. What is the direction of induced EMF in a loop?

The direction of induced EMF in a loop is always perpendicular to the plane of the loop, following the right-hand rule. This means that if you curl your fingers in the direction of the changing magnetic field, your thumb will point in the direction of induced EMF.

2. What factors determine the direction of induced EMF in a loop?

The direction of induced EMF in a loop is determined by the rate of change of the magnetic field, the orientation of the loop, and the number of turns in the loop.

3. Can the direction of induced EMF in a loop change?

Yes, the direction of induced EMF in a loop can change if there is a change in the direction or strength of the magnetic field, or if the loop itself is rotated or moved in the magnetic field.

4. How does the direction of induced EMF in a loop affect the current flow?

The direction of induced EMF in a loop determines the direction of the current flow. If the induced EMF is in the same direction as the current flow, the current will be strengthened. If the induced EMF is in the opposite direction, the current will be weakened.

5. Why is the direction of induced EMF important?

The direction of induced EMF is important because it determines the direction and magnitude of the current flow in a circuit. It is also a fundamental concept in understanding electromagnetic induction and the functioning of devices such as generators and motors.

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