How Is EMF Induced in a Coil When a Magnetic Field Changes?

[Linus Pauling]

1. A 100-turn, 2.0-cm-diameter coil is at rest in a horizontal plane. A uniform magnetic field 60 degrees away from vertical increases from 0.50 T to 1.50 T in 0.60 s.



2. EMF = N*d(phi)/dt
phi = flux = ABcos(theta)



3. dB/dt = 1/0.6
EMF = 1000*(1/0.6)*pi*r²*0.5 = 0.262 V

Is that correct? Should the sign be negative?

 

[ideasrule]

Is there a reason you're using 1000 turns when the question says 100?

Otherwise, the numerical value is correct. By convention, it should be negative.