A flexible circular loop 6.50 cm in diameter lies in a magnetic field with magni

Question

A flexible circular loop 6.50 cm in diameter lies in a magnetic field with magnitude 0.750 T, directed into the plane of the page as shown in the figure below. The loop is pulled at the points indicated by the arrows, forming a loop of zero area in 0.275 s.

(a) Find the average induced emf in the circuit.
V

(b) What is the direction of the current in R?
from a through the resistor to b---from b through the resistor to a ---- No current flows in R.

A flexible circular loop 6.50 cm in diameter lies in a magnetic field with magnitude 0.750 T, directed into the plane of the page as shown in the figure below. The loop is pulled at the points indicated by the arrows, forming a loop of zero area in 0.275 s. (a) Find the average induced emf in the circuit. V (b) What is the direction of the current in R? from a through the resistor to b---from b through the resistor to a ---- No current flows in R.

Explanation / Answer

(a)

e = - dFB/dt

eave = - DFB/Dt

FBi = B Ai =  B (pi r2)

FBf = B Af =  0, since Af =  0

eave = - (0 - B pi r2)/Dt = (B pi r2)/Dt

eave = ((0.750T) pi (0.0325 m)2)/(0.275 s) = 0.278 V

(b)

Clockwise

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