Single circular loop of wire filled with a uniform magnetic

In summary, the figure shows a circular loop of wire with a changing magnetic field and a radius of 1.75 cm. The magnitude of the magnetic field is given by B(t) = B0 exp{-t / 2.15sec}. For part (a), the value of B0 can be calculated by setting t = 0.25 sec and equating the induced emf in the loop to 1.00 V. For part (b), the magnitude of the induced electric field inside the loop can be found by using the equation E = -dΦB/dt, where Φ is the magnetic flux and B is the magnetic field.
  • #1
yekidota
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Homework Statement


The figure to the right shows a single circular loop of wire
filled with a uniform magnetic field pointing into the page
The radius of the loop is R = 1.75 cm. The magnitude
of the magnetic field in the loop is changing
according to B(t) = B0 exp{-t / 2.15sec}
(a) what is the value of B0 if at t = 0.25 sec
the magnitude of the induced emf in
the loop is 1.00 V?
(b) what is the magnitude of the induced electric field inside
the loop at a distance

Homework Equations


Φ=BA
E=dΦB/dt

The Attempt at a Solution



Φ=BA = (B0^-t/2.15)π1.75^2

E=dΦB/dt =-AdB/dt=-(π1.75^2)((d(B0^(-0.25/2.15)))/dt
 
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  • #2
am i using the right formula?
I wanted to know if I am on the right track for a)
 

FAQ: Single circular loop of wire filled with a uniform magnetic

1. What is a single circular loop of wire filled with a uniform magnetic field?

A single circular loop of wire filled with a uniform magnetic field is a basic concept in electromagnetism. It refers to a circular wire loop that is evenly filled with a magnetic field, meaning that the strength and direction of the magnetic field is the same at every point within the loop.

2. How is a single circular loop of wire filled with a uniform magnetic field created?

A single circular loop of wire filled with a uniform magnetic field can be created by passing an electric current through the wire. The moving charges in the wire create a magnetic field that fills the loop and is uniform throughout.

3. What are the properties of a single circular loop of wire filled with a uniform magnetic field?

The main properties of a single circular loop of wire filled with a uniform magnetic field are that it has a direction, strength, and orientation. The direction of the magnetic field is determined by the right-hand rule, the strength is directly proportional to the current flowing through the wire, and the orientation can be changed by changing the direction of the current.

4. What are the applications of a single circular loop of wire filled with a uniform magnetic field?

Single circular loops of wire filled with a uniform magnetic field have various applications in everyday life. They are used in electromagnets, electric motors, generators, and many other devices that utilize the principles of electromagnetism. They are also commonly used in scientific experiments to study the effects of magnetic fields.

5. How does the magnetic field within a single circular loop of wire filled with a uniform magnetic field vary?

The magnetic field within a single circular loop of wire filled with a uniform magnetic field remains constant at every point within the loop. This means that the strength and direction of the magnetic field do not change as you move around the loop. However, the strength of the magnetic field decreases as you move away from the loop.

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