Single circular loop of wire filled with a uniform magnetic

AI Thread Summary
The discussion focuses on a physics problem involving a circular loop of wire in a changing magnetic field. The magnetic field is defined by the equation B(t) = B0 exp{-t / 2.15 sec}, and the task is to find the value of B0 when the induced emf is 1.00 V at t = 0.25 sec. The user attempts to apply the formulas for magnetic flux (Φ = BA) and induced electric field (E = -dΦB/dt) to solve the problem. They express uncertainty about their approach and seek confirmation on whether they are using the correct formulas for part (a) of the question. Clarification on the application of these equations is needed to ensure accurate calculations.
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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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am i using the right formula?
I wanted to know if I am on the right track for a)
 
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