1. The problem statement, all variables and given/known data A circular loop of wire with radius 0.0300m and resistance 0.380Ω is in a region of spatially uniform magnetic field, as shown in the following figure(Figure 1). The magnetic field is directed into the plane of the figure. At t = 0, B = 0. The magnetic field then begins increasing, with B(t)=( 0.350T/s3)t3. 2. Relevant equations ε = -N*(dΦB / dt) 3. The attempt at a solution Area = pi*r^2 = pi(.03^2) = .0028 m^2 Magnetic field is perpendicular to plane of loop. ΦB = (B→)⋅dA→ = BA cos(Θ) B(t) is given at an instant where it equals 1.42 T, so solving 1.42 = .35 t^3 for t: (1.42/.35)^(1/3) = 1.59 seconds I then reason that since t and be started at 0, at this given instant dB = 1.42 Tesla and dt = 1.59 seconds. Since only the magnetic field changes, I can say dΦB/dt = (dB/dt)Acos(Θ) Since Θ = 0 due to magnetic field being perpendicular to plane of loop, it simplifies to dΦB/dt = (dB/dt)A So ε = 1*(dB/dt)A = (1.42/1.59)*.0028 = .0025 volts However the question asks for current I in the loop, so I said ε = IR: thus ε/R = I by ohm's law .0025 volts / .380 ohms = .0065 Amps. This is incorrect, the correct answer was .0199 Amps and I'm not sure what I did wrong. Was I supposed to differentiate B(t) or something? I got the direction of the current in the loop correct, I understand Lemz law and recall the common right hand rule conventions. Any and all help is appreciated.