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) = P (d) dt X dB R² dt 2r x X (a) What is the electric field as a function of distance from the center of the given region where r s R and r2 R during that 28 s interval? (Enter the magnitude. Use any variable or symbol stated above along with the following magnitude of the change in the magnetic field with respect to time. Do not substitute numerical values; use variables only.) rsR R r2R X 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? 7.0596075e✔✔✔) (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-✔✔✔) necessary: fo dB dt (d) At the instant when B = 0.65 T, a proton enters the magnetic field at A, moving at velocity v (v= 4.6 x 106 m/s) as shown. What are the electric and magnetic forces (in N) on the proton at that instant? (Enter the magnitudes.) Felec=0 XN ✓ N Fmag 4.784e-13

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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
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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