Voltage induced by changing field

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Cyan Ray
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5. A wire is formed into a 30 turn loop whose diameter is 14 cm and the resistance of the loop is 4 ohmns. The loop is placed on this page and a magnetic is going directly into the plane of the paper and is varying according to the formula
B(t) = 4t^3 - 9t^2 + 3t - 28

Part (a): What is the voltage across the loop at t = 2s?
Part (b): What is the current in the loop at this time?
Part (c): What is the direction of the induced current? Explain
Here is my solution
 
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  • Handwritten solution to a induced EMF problem: dB/dt = 12t^2 - 18t + 3, at t = 2 s dB/dt = 15 T/s, ΔV = NA dB/dt = 30 × π × (0.07)^2 × 15 = 6.93 volts, I = ΔV/R = 6.93/4 = 1.73 amp, direction anticlockwise.
    no.5 exam 4- BL.png
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Is this right?

And as for c) I have no explanation...what is an approriate explanation?
 
Cyan Ray said:
And as for c) I have no explanation...what is an approriate explanation?
Is the flux increasing or decreasing at t = 2s? :smile: