A 7.15 cm-diameter circular loop of wire is in a 1.11 T magnetic
field. The loop is removed from the field in 0.190 s. What is the
average induced emf?
(in V)
A: 1.71 |
induced emf is defiend as the rate of change of magnetic flux
in mathematical form,
induced emf e = NAdB/dt
where A = area
N = no. of tunrs
dB/dt = rate of change of amgnetic flux
so here emf e = 1 * 3.14* (0.0715/2)^2 * 1.11/0.19
emf e = 2.35
emf = |dflux/dt|
= |d(BA)/dt|
= A * |dB/dt|
= pi*0.0357^2 * | (0 - 1.10) / 0.19 |
= 2.3 * 10^ -2 V
option C
Area of loop=pi*d2/4=3.14*(0.0715)2/4=4.015*10-3 m2
Magnetic field B=1.11 T
time t=0.190 s
Emf=Field*Area/time
=4.015*10-3*1.11/0.190=0.0235 V
Or, C. 2.35*10-2 V
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