Download In a region of space, the magnetic field increases at a

In a region of space, the magnetic field increases at a constant rate. This changing
magnetic field induces an electric field that
(a) increases in time
(b) is conservative
(c) is in the direction of the magnetic field
(d) has a constant magnitude.
And why explain?
Since the magnetic field increases at a constant rate, it is an increasing linear function of
time. Therefore, its derivative with time, which indicates the induced Electric Field, is
constant with time.
Induced electric field E in Equation 31.9 (see attachment) is a non-conservative field that
is generated by a changing magnetic field. Explain what is a non-conservative field.
d B
E
ds



dt
Equation 31.9
d
 E ds   dt  B dA
In a non-conservative (or dissipative) force field, the work done in going from point A to
point B depends on the path taken. The line-integrals might depend on the end points,
and , but not on the path taken between them, in which case W1 = W2. Secondly, the
line-integrals (might depend both on the end points, and , and the path taken
between them, in which case W1 is not equal to W2 (in general). The first possibility
corresponds to what physicists term a conservative force-field, whereas the second
possibility corresponds to a non-conservative force-field.
Two alternative paths between points
and B.