(a) Find the electric field at x = 5.00 cm in Figure 18.52 (a), given that q = 1.00 μC. (b) at what position between 3.00 and 8.00 cm is the total electric field the same as that for ? 2q alone? (c) Can the electric field be zero anywhere between 0.00 and 8.00 cm? (d) At very large positive or negative values of x, the electric field approaches zero in both (a) and (b). In which does it most rapidly approach zero and why? (e) At what position to the light of 11.0 cm is the total electric field zero, other than at infinity? (Hint: A graphing calculator can yield considerable insight in this problem.)
(a) Find the electric field at x = 5.00 cm in Figure 18.52 (a), given that q = 1.00 μC. (b) at what position between 3.00 and 8.00 cm is the total electric field the same as that for ? 2q alone? (c) Can the electric field be zero anywhere between 0.00 and 8.00 cm? (d) At very large positive or negative values of x, the electric field approaches zero in both (a) and (b). In which does it most rapidly approach zero and why? (e) At what position to the light of 11.0 cm is the total electric field zero, other than at infinity? (Hint: A graphing calculator can yield considerable insight in this problem.)
(a) Find the electric field at x = 5.00 cm in Figure 18.52 (a), given that q
= 1.00 μC. (b) at what position between 3.00 and 8.00 cm is the total electric field the same as that for ? 2q alone? (c) Can the electric field be zero anywhere between 0.00 and 8.00 cm? (d) At very large positive or negative values of x, the electric field approaches zero in both (a) and (b). In which does it most rapidly approach zero and why? (e) At what position to the light of 11.0 cm is the total electric field zero, other than at infinity? (Hint: A graphing calculator can yield considerable insight in this problem.)
Consider the following figure. (If you need to use co or -o, enter INFINITY or -INFINITY, respectively.)
(a) Find the total electric field in N/C at x = 8.00 cm in part (b) of the figure above given that q = 1.00 uC.
N/C
(b) Find the total electric field in N/C at x = 11.50 cm in part (b) of the figure above. (Include the sign of the value in your answer.)
N/C
(c) If the charges are allowed to move and eventually be brought to rest by friction, what will the final charge configuration be? (That is, will there
be a single charge, double charge, etc., and what will its value(s) be? Use the following as necessary: q.)
A thick insulating spherical shell of inner radius a = 3, 13R and outer radius b =
a uniform charge density p.
=
a
b
10, 73R has
What is the magnitude of the electric field at r = 14, 82R? Express your answer using two
PR
decimal places in units of
Problem 3: The electric field in a certain region is given by the function
E = Ak cos (kx) cos (by) i – Ab sin (kx) sin (by)
where A = 18.06 N-m/C, k = 0.702 m ¹, and b = 1.29 m¹. The points in the figure use the values
1 1.5 m and u₁= 3.36 m.
Part (a) What is the change in electric potential, in volts, from point (0, 0) to point (x₁, 0)?
V(x₁,0) - V(0, 0) =
Part (b) What is the change in potential, in volts, from point (x₁, 0) to point (x₁.y₁)?
V(x1.₁) - V(x₁.0)=1
V
V
V
(0,y₁)
Part (c) What is the change in potential, in volts, from point (0, 0) to point (₁. ₁), along the path that passes through (x₁, 0)?
V(x₁, y₁) - V(0, 0) =
(0,0)
(x₁₂V₁)
(x₁,0)
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