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The electric field on the x-axis due to a point charge fixed at the origin is given by E=(b/x^2) where b =6.00kV·m and x≠0. Find the magnitude and sign of the point charge.
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- The figure shows three circular arcs centered at the origin of a coordinate system. On each arc, the uniformly distributed charge is given in terms of Q = 4.32 µC. The radii are given in terms of R = 94.9 mm. What is the magnitude of the net electric field in N/C at the origin due to the arcs? 3R +9Q -1Q 2R +Q RThe electric field on the x axis due to a point charge fixed at the origin is given by E=(b/x^2) where b =6.00kV·m and x≠0. Find the magnitude and sign of the point charge. Show how it is converted to nC.A finite line of charge with linear charge density = A 3.65 x 10-6 C/m and length L = 0.940 m is located along the x-axis (from x = 0 to x L). A point charge of q = -7.32 x 10-7 C is located at the point xo = 1.84 m, yo = 3.50 m. Find the electric field (magnitude and direction as measured from the +x-axis) at the point P, which is located along the x-axis at xp = 10.90 m. The Coulomb force constant is k= 1/(4x/co) 8.99 x 10° (N-m²)/C². E - N/C
- The electric field in an xy plane produced by a positively charged particle is 6.20(6.61 + 6.3) N/C at the point (4.1, 4.6) cm and 123 N/C at the point (3.8, 0) cm. What are the (a) x and (b) y coordinates of the particle? (c) What is the charge of the particle? (a) Number i UnitsThe figure shows three circular arcs centered at the origin of a coordinate system. On each arc, the uniformly distributed charge is given in terms of Q = 3.29 µC. The radii are given in terms of R = 8.41 cm. What are the (a) magnitude and (b) direction (relative to the positive x direction) of the net electric field at the origin due to the arcs? 3R +9Q -1Q 2R +Q RThe figure shows three circular arcs centered at the origin of a coordinate system. On each arc, the uniformly distributed charge is given in terms of Q = 3.97 µC. The radii are given in terms of R = 8.31 cm. What are the (a) magnitude and (b) direction (relative to the positive x direction) of the net electric field at the origin due to the arcs? 3R +9Q -4Q 2R +Q R (a) Number i Units (b) Number i Units
- 1. (a) The figure shows three circular arcs centered at the origin of a coordinate system. On each arc, the uniformly distributed charge is given in terms of Q = 3.28 µC. The radii are given in terms of R = 91.0 mm. What is the magnitude of the net electric field in N/C at the origin due to the arcs? 3R +9Q -1Q 2R +Q R (b) An electric field given by E = 7.80 i – 7.40(y² + 8.00) j pierces the Gaussian cube of edge length 58.0 cm and positioned as shown in the figure. (The magnitude E is in newtons per coulomb and the position x is in meters.) What is the net electric flux in Nm²/C through the cube? Gaussian surfaceTwo charges q1 = +4.79 µC and q2 = +8.94 µC are separated by a distance of 13.8 cm. Point P is located along the line segment joining the tw charges. How far is P (in cm) from q1, if the magnitude of the electric field at P due to the two charges is equal to zero? Express your answers accurate to two decimal places.A uniform electric field, with a magnitude of 4 N/C, points in the positive x direction. When a charge is placed at the origin, the resulting electric field on the x axis at x = 2 m becomes zero. With the charge still at the origin, what is the magnitude of the electric field at x = +4 m?
- A uniformly charged rod of length L = 1.2 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 6.8 μC. A point P is located on the x-axis a distance a = 2.4 m to the right of the origin.Integrate the electric field contributions from each slice over the length of the rod to write an equation for the net electric field E at point P.Charges E and F are situated 4.44 m apart. What is the magnitude of the electric charge of particle F if particle E has 11.2 μC and their UE is 914 J?What is the magnitude and direction of the electric field at 0.25 m from a -5.6 x10-6 C point charge? A proton is released from rest in a uniform horizontal electric field. It travels 3.25 m for 5 us. Find the acceleration of the proton and the magnitude of the electric field. A solid insulating sphere of radius 0.07 m carries a total charge of 25µC. Concentric with this sphere is a conducting spherical shell of inner radius 0.12 m and outer radius of 0.18 m and carrying a total charge of -54 µC. Find (a) the charge distribution for the insulating sphere and the conducting spherical shell, and the magnitude of the electric field at the following distances from the center of the two spheres and shell: (b) 0.05 m, (c) 0.10 m, (d) 0.15 m, and (e) 0.25 m.