Question

Imagine a horizontal surface in the x-y plane a distance h below the of the sphere, which is located at (0,0,0). For any point (x,y,-h) on the surface, located a distance r from the of the sphere, give an expression for the electric field strength in terms of x, y and h.

For any point (x,y,-h) on the surface, express the magnitude of the x, y and z components of the electric field in terms of x and y respectively.

Answer #1

An object is launched from a point on a horizontal plane and
lands a distance R away from this point along the same plane. The
maximum height of the object's trajectory is H. In terms of R, H
and possibly g, derive an expression for (a) launch angle, and (b)
the launch speed.

1)Two plane plate capacitors have the same capacitance.If the
distance among the plates of the first capacitor is the double of
the one of the second capacitor,how is the relationship among the
area of the plates ?
2)You have two equal and opposite charged located at a distance
d from one another.
a)calculate the potentialin every point of the space(set the
origin of the coordinate system in the mid point of the segment
connecting the charges)
b)calculate the value of...

An infinitely large positively charged nonconducting sheet 1 has
uniform surface charge density σ1 = +130 nC/m2 and is located in
the xz plane of a Cartesian coordinate system. An infinitely large
positively charged nonconducting sheet 2 has uniform surface charge
density σ2 = +90.0 nC/m2 and intersects the xz plane at the z axis,
making an angle θ = 30∘ with sheet 1.
Part A
Determine the expression for the electric field in the region
between the sheets for...

1. Consider x=h(y,z) as a parametrized surface in the natural
way. Write the equation of the tangent plane to
the surface at the point (5,3,−4) given that ∂h/∂y(3,−4)=1 and
∂h/∂z(3,−4)=0.
2. Find the equation of the tangent plane to the surface
z=0y^2−9x^2 at the point (3,−1,−81). z=?

Two test charges are located in the x − y plane. If q 1 = − 3.65
nC and is located at x = 0.00 m, y = 0.880 m and the second test
charge has magnitude of q 2 = 3.60 nC and is located at x = 1.20 m,
y = 0.650 m, calculate the x and y components, E x and E y , of the
electric field, → E , in component form at the origin,...

Plane A carries a uniform surface charge density of -8.30 μC/m^2
, and Plane B, which is to the right of A, carries a uniform charge
density of +13.6 μC/m^2 . Assume that the planes are large enough
to be treated as infinite.The distance between large parallel
planes is 5.00 cm.
Part A)
Find the magnitude of the net electric field these planes
produce at a point 4.00 cm to the right of plane A.
Express your answer with the...

Two charges are located in the x�y plane. If q1 = -2.90 nC and
is located at x = 0.00 m, y = 0.920 m and the second charge has
magnitude of q2 = 3.40 nC and is located at x = 1.00 m, y = 0.600
m, calculate the x and y components, Ex and Ey, of the electric
field, , in component form at the origin, (0,0). The Coulomb Force
constant is 1/(4? ?0) = 8.99 � 109...

(a) Two particles of fixed negative charge -q are placed on a y
axis at fixed positions of y = d and y = -d. (i) The electric field
is probed at a point, P positioned at x = ad on the x-axis, where a
is a variable. Illustrate and discuss the magnitudes and directions
of electric field components at point P and also illustrate the net
electric field at that point, of magnitude E. (ii) Starting from
the expression...

Two test charges are located in the x–y plane. If q1=−3.05 nC
and is located at x1=0.00 m, y1=0.640 m, and the second test charge
has magnitude of q2=3.80 nC and is located at x2=1.50 m, y2=0.800
m, calculate the x and y components, Exand Ey, of the electric
field →E in component form at the origin, (0,0). The Coulomb force
constant is 1/(4πϵ0)=8.99×109 N⋅m2/ C2.

Find the equation of the tangent plane (in terms of x, y and z)
to the surface given by x = u, y = v and z = uv at the point (3, 2,
6).

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