PLEASE WRITE CLEAR AND READABLE ANSWERS. SHOW ALL WORK WHERE APPROPRIATE.
a) V = ax + by^2
and E = dv/dr
Ex = d(ax + by^2)/dx = a
Ey = d(ax+ by^2)/dy = 2by
E = a i + 2by j N/C
b) at origin,
E = ai + 0j = a
F = qE = aq
c) dW = F.dr = qEdr
= q(a i + 2by j)dr
integrating,
W = qax + qby^2
x is from 0 to 0
y is from 0 to 2
W = 0 + qb(2^2 - 0 ) = 4qb
PLEASE WRITE CLEAR AND READABLE ANSWERS. SHOW ALL WORK WHERE APPROPRIATE.
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