8. The potential of a certain charge distribution is given by V = A(x? + y? – 2:2): (a) The electric field is E = -V = A(-2xi - 2y3 + 4zk) (b) If the work done by the field when a 1.5µC test charge moves from (x,y,z)=(0,0,.25)m to the origin of the coordinate system is measured to be 60µJ, the coefficient A is: = Wrield = U-Uf = qV; - qVs q(Vs- V) = 1.5 x 10-(A{0² + o² – 2(.25)²} – A{o² + o² – 2(0)²}) → A = -320V/m? (True, False) 60 x 10-6

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8. The potential of a certain charge distribution is given by V = A(x² + y? – 2z2):
(a) The electric field is E = -VV = A(-2xî – 2y3 + 4zk)
(b) If the work done by the field when a 1.5µC test charge moves from (x,y,z)=(0,0,.25)m to the origin of the coordinate system is measured
to be 60µJ, the coefficient A is:
= Wfield = Ui – Ug = qV; – qV; = q(V5 – V.) = 1.5 x 10-°(A{o² + o² – 2(.25)²} – A{o² + o² – 2(0)²}) →
(A{o² + o² – 2(.25)²} – A{o² + o² – 2(0)²}) → A = -320V/m
(True, False)
60 x 10¬o
||
Transcribed Image Text:8. The potential of a certain charge distribution is given by V = A(x² + y? – 2z2): (a) The electric field is E = -VV = A(-2xî – 2y3 + 4zk) (b) If the work done by the field when a 1.5µC test charge moves from (x,y,z)=(0,0,.25)m to the origin of the coordinate system is measured to be 60µJ, the coefficient A is: = Wfield = Ui – Ug = qV; – qV; = q(V5 – V.) = 1.5 x 10-°(A{o² + o² – 2(.25)²} – A{o² + o² – 2(0)²}) → (A{o² + o² – 2(.25)²} – A{o² + o² – 2(0)²}) → A = -320V/m (True, False) 60 x 10¬o ||
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