points quasi-static) The generator shown to the right consists p of length /and

Question

points quasi-static) The generator shown to the right consists p of length /and width w that rotates at an angular rate of s) in the presence of a uniform, 2-directed magnetic flux sity B-B,Z (T). This means that -or (rad). The loop and wire has a resistance of R. (), and it is connected to a load 6) (15 of a loo (rad density B- B, (T Loop + wire has Loopnce R) impedance indicated by the "?" box resistance Rw () (8points) If the load impedance is simply a resistance R, then a. a resistance R, then what is the current ? Slip rings Loop norm Brushes

Explanation / Answer

A= area of loop= l*w

At a time t, f= magnetic flux through loop

F= ABcos(alpha)=Lw*B*cos(Wt)

Where W= angular speed

w= width of loop

Emf= induced voltage in loop

Emf=- dF/dt=lwBW*sin(Wt)

i=induced current=emf/(Ro+R)

=lwBW*sin(Wt)/(R+Ro)

Where Ro=loop resistance

(b) Xc= impedance of capacitor

Xc=1/(jWC)

i=emf/(Ro+Xc)=lwBW*jWC*sin(Wt)/(1+jWCRo)

i"= phsor current=lwBW^2*C<(90-theta)/[1+(WCRo)^2]^0.5

Where ,thea=tan^-1(WCRo)

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