Question

The circular top portion of the circuit in the image below lies in a uniform magnetic field of magnitude B and directed out of the plane of the screen. The loop is pulled as shown so that its area decreases. The decreased area is indicated by the dashed loop in the diagram below (the wires in the circuit remain connected for a complete closed circuit, but this is not explicitly shown on the diagram for clarity).

a ib Inn R

The magnitude of the constant external magnetic field is 5.171×10^-3 T and the resistance of the resistor is 3.241 Ω. If the loop changes its area from 6.703×10^-1 m² to 1.535×10^-1 m² at a constant rate in 0.3679 seconds, what is the magnitude of the induced voltage in the loop while the area is changing?

Answer 1

Flue on a closed conducting loop is ginen by. &= B. Å = B Aloot B = magnetic field A = Area of Cross-Section tot = angle between B and A {=-20 - dB. A) = 2(BA) = at at at Bahat } E=-BOA { Bis constant dA = (1.535 - 6.703 Fx16! GA -5.168x10') +0.3679 See {=05.171x10 (-5.168 x17') dt 0.3679 -4 72.64810 -3 {a {{ -7.26 x 10” volt }

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