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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0

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)
 
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