Question

1. (4pts) Shown in the figure is a source charge, Q = +10C, which creates an electrostatic potential in the surrounding space. The dashed lines trace two concentric circles about the center of Q, with the inner circle having a radius of r, and the outer circle a radius of 2r. a) Write an algebraic expression for the electric potential for each of the locations, A, B, C, and D. b) Rank the strength of the electric potential (V) at the four positions, A, B, C, and D. c) The electrostatic potential exists due to the source charge Q and does not require any other charges to be present, much like how Earth has a gravitational potential (V_g = gh) that we experience every day which exists regardless of our presence on its surface. On the other hand, electrostatic potential energy describes an interaction of two or more charges (much like how gravitational potential energy (U_g = mgh) requires an object and the Earth together). If we take a small positive test charge, q, and place it at the four locations, one at a time, rank the electrostatic potential energy of the test-charge source-charge system at each location.

          1. (4pts) Shown in the figure is a source charge, Q = +10C, which creates an
electrostatic potential in the surrounding space. The dashed lines trace two
concentric circles about the center of Q, with the inner circle having a radius of r,
and the outer circle a radius of 2r.

a) Write an algebraic expression for the electric potential for each of the
locations, A, B, C, and D.

b) Rank the strength of the electric potential (V) at the four positions, A, B, C, and D.

c) The electrostatic potential exists due to the source charge Q and does not require any other
charges to be present, much like how Earth has a gravitational potential (V_g = gh) that we
experience every day which exists regardless of our presence on its surface. On the other hand,
electrostatic potential energy describes an interaction of two or more charges (much like how
gravitational potential energy (U_g = mgh) requires an object and the Earth together).

If we take a small positive test charge, q, and place it at the four locations, one at a time, rank
the electrostatic potential energy of the test-charge source-charge system at each location.

1. (4pts) Shown in the figure is a source charge, Q = +10C, which creates an
electrostatic potential in the surrounding space. The dashed lines trace two
concentric circles about the center of Q, with the inner circle having a radius of r,
and the outer circle a radius of 2r.

a) Write an algebraic expression for the electric potential for each of the
locations, A, B, C, and D.

b) Rank the strength of the electric potential (V) at the four positions, A, B, C, and D.

c) The electrostatic potential exists due to the source charge Q and does not require any other
charges to be present, much like how Earth has a gravitational potential (Vg = gh) that we
experience every day which exists regardless of our presence on its surface. On the other hand,
electrostatic potential energy describes an interaction of two or more charges (much like how
gravitational potential energy (Ug = mgh) requires an object and the Earth together).

If we take a small positive test charge, q, and place it at the four locations, one at a time, rank
the electrostatic potential energy of the test-charge source-charge system at each location.

Added by Joanne L.

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