Aconducting single-turn circular loop with a total resistance of 4.50 ω is placed in a time-varying magnetic field that produces a magnetic flux through the loop given by φb = a + bt2 − ct3, where a = 7.00 wb, b = 12.5 wb/s−2, and c = 5.50 wb/s−3. φb is in webers, and t is in seconds. what is the maximum current induced in the loop during the time interval t = 0 to t = 1.70 s?