The electric potential of a system is presented by the figure shown below. Find the x-component of the electric field at points A, B, and C if V, = 12 V and x, = 25 cm, x2 = 100 cm, x3 = 150 cm. В V. А C X1 X2 X3 The x-component of E-field at point A, E = 48 XUnits N/C The x-component of E-field at point B, E, =0 VUnits N/C The x-component of E-field at point C, Ec = -24 X Units N/C

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter26: Electric Potential
Section: Chapter Questions
Problem 76PQ: An electric potential exists in a region of space such that V = 8x4 2y2 + 9z3 and V is in units of...
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The electric potential of a system is presented by the figure shown below. Find the x-component of the
electric field at points A, B, and C if V, = 12 V and x, = 25 cm, x2 = 100 cm, x3 = 150 cm.
В
V.
А
C
X1
X2
X3
The x-component of E-field at point A, E = 48
x Units N/C
The x-component of E-field at point B, Eg =0
VUnits N/C
The x-component of E-field at point C, Ec = -24
X Units N/C
Duestion Heln: R Message instructor O Pnst to forum
Transcribed Image Text:The electric potential of a system is presented by the figure shown below. Find the x-component of the electric field at points A, B, and C if V, = 12 V and x, = 25 cm, x2 = 100 cm, x3 = 150 cm. В V. А C X1 X2 X3 The x-component of E-field at point A, E = 48 x Units N/C The x-component of E-field at point B, Eg =0 VUnits N/C The x-component of E-field at point C, Ec = -24 X Units N/C Duestion Heln: R Message instructor O Pnst to forum
A particle of mass 5 g and charge 21.5 µC is moving in an electric potential field
V(z, y) = c1 - z – Cz · y² + cz • y • z²,
where c= 85 V/m, cz= 10 V/m², and c3= 55 V/m. Find the electric field acting on the particle as a
function of its position. Use V/m and meters for the units, but do not put them explicitly in E(r, y).
The x-compoment of the E-field, E,(x,y) =
-55 x Units Vim
The y-compoment of the E-field, E,(x,y) = 20
x Units V/m
What is the magnitide of the particle's acceleration at x = 1 m and y = -0.5 m?
The acceleration, a = 0.3077
VUnits m/s^2
Transcribed Image Text:A particle of mass 5 g and charge 21.5 µC is moving in an electric potential field V(z, y) = c1 - z – Cz · y² + cz • y • z², where c= 85 V/m, cz= 10 V/m², and c3= 55 V/m. Find the electric field acting on the particle as a function of its position. Use V/m and meters for the units, but do not put them explicitly in E(r, y). The x-compoment of the E-field, E,(x,y) = -55 x Units Vim The y-compoment of the E-field, E,(x,y) = 20 x Units V/m What is the magnitide of the particle's acceleration at x = 1 m and y = -0.5 m? The acceleration, a = 0.3077 VUnits m/s^2
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