Voltage induced by changing field

In summary, a wire with 30 turns and a diameter of 14 cm has a resistance of 4 ohms. When placed on a page with a magnetic field going into the plane of the paper, the field varies according to the formula B(t) = 4t^3 - 9t^2 + 3t - 28. Part (a) asks for the voltage across the loop at t = 2s, while part (b) asks for the current in the loop at this time. As for part (c), the direction of the induced current depends on whether the flux is increasing or decreasing at t = 2s. An appropriate explanation would involve considering the direction of the magnetic field and the direction
  • #1
Cyan Ray
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5. A wire is formed into a 30 turn loop whose diameter is 14 cm and the resistance of the loop is 4 ohmns. The loop is placed on this page and a magnetic is going directly into the plane of the paper and is varying according to the formula
B(t) = 4t^3 - 9t^2 + 3t - 28

Part (a): What is the voltage across the loop at t = 2s?
Part (b): What is the current in the loop at this time?
Part (c): What is the direction of the induced current? Explain
Here is my solution
 

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  • #2
Is this right?

And as for c) I have no explanation...what is an approriate explanation?
 
  • #3
Cyan Ray said:
And as for c) I have no explanation...what is an approriate explanation?
Is the flux increasing or decreasing at t = 2s? :smile:
 

Related to Voltage induced by changing field

1. What is voltage induced by changing field?

Voltage induced by changing field, also known as induced voltage, is the creation of an electric potential in an object or circuit due to a change in the magnetic field surrounding it. This can occur through the movement of a magnet near a conductor or through changes in the current flow in a circuit.

2. How is voltage induced by changing field measured?

Voltage induced by changing field is typically measured using a device called a voltmeter. The voltmeter is connected to the circuit or object being tested and measures the amount of voltage created by the changing magnetic field.

3. What factors affect the amount of voltage induced by changing field?

The amount of voltage induced by changing field is affected by several factors, including the strength of the magnetic field, the speed at which the magnetic field changes, the number of turns in the conductor, and the resistance of the conductor.

4. How is Faraday's Law related to voltage induced by changing field?

Faraday's Law states that the induced voltage in a circuit is directly proportional to the rate of change of the magnetic field. This means that as the magnetic field changes more quickly, the induced voltage will also increase.

5. What are some real-life applications of voltage induced by changing field?

Voltage induced by changing field has many practical applications, including power generation through electromagnetic induction, electric motors and generators, and various sensors and transducers that rely on induced voltage to function. It is also an important concept in understanding electromagnetic waves and their interaction with conductors.

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