In a cylindrical wire with cross section A = 1 (m²), length x = 4(m) and varying resistivity with position p(x) = 2x + 3 (Nm), the electric field changes with time as E(t) = 2t² +3 (V/m). The electric field is along the +x direction and the time is in units of second. How much charge flows in Coulombs across the wire between 0 ≤ t ≤ 1 second? EES a) b) 2 c)²/7/27 d) e) 7 O x = 0 Ē(t) p(x)

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In a cylindrical wire with cross section A = 1 (m²), length x = 4(m) and varying resistivity
as
with position p(x) = 2x + 3 (Nm), the electric field changes with time
E(t) = 2t² +3 (V/m). The electric field is along the +x direction and the time is in units of
second.
How much charge flows in Coulombs across the wire between 0 ≤ t ≤ 1 second?
a)
b)
c) 2/2
EES
8
D
x = 0
Ē (t)
p(x)
x
Transcribed Image Text:In a cylindrical wire with cross section A = 1 (m²), length x = 4(m) and varying resistivity as with position p(x) = 2x + 3 (Nm), the electric field changes with time E(t) = 2t² +3 (V/m). The electric field is along the +x direction and the time is in units of second. How much charge flows in Coulombs across the wire between 0 ≤ t ≤ 1 second? a) b) c) 2/2 EES 8 D x = 0 Ē (t) p(x) x
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