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Please help me answer part d for F electric

Over a region of radius R, there is a spatially uniform magnetic field B. (See below.) At t = 0, B = 1.3 T, after which it decreases at a constant rate to zero in 28 s.
E(r) =
(
r
dB
7.0596075e.
=
dt
dB R²
dt 2r
~
(a) What is the electric field as a function of distance r from the center of the given region where r ≤ R and r≥ R during that 28 s interval? (Enter the magnitude. Use any variable or symbol stated above along with the following as necessary:
magnitude of the change in the magnetic field with respect to time. Do not substitute numerical values; use variables only.)
X
X
X
A
4.784e-13
r≤ R
R
r≥ R
X
X
x
(b) Assume that R = 11.0 cm. How much work (in J) is done by the electric field on a proton that is carried once clockwise around a circular path of radius 5.5 cm?
J
x
(d) At the instant when B = 0.65 T, a proton enters the magnetic field at A, moving at velocity v (v = 4.6 × 106 m/s) as shown. What are the electric and magnetic forces (in N) on the proton at that instant? (Enter the magnitudes.)
X N
0
F
elec
N
Fmag
(c) How much work (in J) is done by the electric field on a proton that is carried once counterclockwise around a circular path of any radius r > R?
-2.823843e-
J
dB
dt
for the
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Transcribed Image Text:Over a region of radius R, there is a spatially uniform magnetic field B. (See below.) At t = 0, B = 1.3 T, after which it decreases at a constant rate to zero in 28 s. E(r) = ( r dB 7.0596075e. = dt dB R² dt 2r ~ (a) What is the electric field as a function of distance r from the center of the given region where r ≤ R and r≥ R during that 28 s interval? (Enter the magnitude. Use any variable or symbol stated above along with the following as necessary: magnitude of the change in the magnetic field with respect to time. Do not substitute numerical values; use variables only.) X X X A 4.784e-13 r≤ R R r≥ R X X x (b) Assume that R = 11.0 cm. How much work (in J) is done by the electric field on a proton that is carried once clockwise around a circular path of radius 5.5 cm? J x (d) At the instant when B = 0.65 T, a proton enters the magnetic field at A, moving at velocity v (v = 4.6 × 106 m/s) as shown. What are the electric and magnetic forces (in N) on the proton at that instant? (Enter the magnitudes.) X N 0 F elec N Fmag (c) How much work (in J) is done by the electric field on a proton that is carried once counterclockwise around a circular path of any radius r > R? -2.823843e- J dB dt for the
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