(a) the terminal speed, and (b) the induced emf in the loop. (e) What is the dir

Question

(a) the terminal speed, and (b) the induced emf in the loop. (e) What is the direction of the induced current in the loop before the upper end enters the magnetic field? Explain. Use clockwise or counterclockwise to indicate the direction. (d) What is the net force acting on the loop before the upper end enters the magnetic field and when its speed is 5 m/s?(Neglect air resistance.) 7. A conducting rectangular loop of mass M, Resistor R, and dimensions a x b is allowed to fall from rest through a uniform magnetic field which is perpendicular to the plane of the loop as shown in Figure 6. The loop accelerates until it reaches a terminal speed(before the upper end enters the magnetic field). If a = 1.2 in, B = 4 T, R = 50 omega, and M = 0.60 kg, determine (before the upper end enters the magnetic field)

Explanation / Answer

emf

e = B*dA/dt = B*a*v2

i = e/R = B*a*2/R

Fb = i*a*B = B*a*V2*a*B/R = B^2*a^2*v2/R

Fb = Fg

B^2*a^2*v2/R = M*g

v2 = 12.76 m/s

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b)

emf = 4*12.76*1.2 =61.248 volts

c) counter clockwise

d) F = Fg = M*g - Fb

F = M*g - B^2*a^2*v1/R = 5.4192 N

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