Given the situation shown below, in which sphere 1 has charge q1 = 8 nC and sphere 2 has charge q2 = −12 nC, what is the total electrical flow produced by these charges through a spherical surface centered at the origin of the Cartesian plane and with a radius of (a) 1.75 m and (b) 3.5 m?
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Given the situation shown below, in which sphere 1 has charge q1 = 8 nC and sphere 2 has charge q2 = −12 nC, what is the total electrical flow produced by these charges through a spherical surface centered at the origin of the Cartesian plane and with a radius of (a) 1.75 m and (b) 3.5 m?
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- 1 nC, and 1 nC, are located along the x-axis with the positions q,(x, y) = (0, 0) and q2(x, y) = (2 m, 0 m). Calculate the magnitude of the electric field at the point P, with coordinates, P(x, y) = (1 m, 1m). Express the net electric field at P in vector 14) A pair of point charges with equal and opposite magnitude, q1 %3D q2 form.What is the charge density on the positively charged plate in C/m2?(a) Figure (a) shows a nonconducting rod of length L = 9.00 cm and uniform linear charge density λ = +7.57 pC/m. Take V = 0 at infinity. What is V at point P at distance d = 5.20 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 7.57 pC/m. With V = 0 at infinity, what is V at P? (a) Number i (b) Number i ·+· -L/2 (a) Units Units L/2 +‡ ‡ ‡+3= L/2 .Р (b) L/2
- A hollow conducting sphere with inner radius a=1.0m and outer radius b=2.0m is shown in figure (Figure 1). Say a charge q=7.0nC is placed at the center of the sphere denoted by O. Here m denotes meter and 1nC denotes one nano coulomb or 1×10−9C. coulomb constant is k=8.987×109N⋅m2/C2. and r is the distance from the center. (a) Potential at r=a+b2 is, V=?volt Potential Give your answer up to at least three significance digits. (b) Electric Field at r=a+b2 is E(r)=?N/C Electric field Give your answer up to at least three significance digits (c) Magnitude of the electric Field at r=a2 is E(r)=?N/C Electric field Give your answer up to at least three significance digits.Four identical charged particles (g = +10.2 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 65.4 cm and W = 15.1 cm. W L b. (a) Calculate the magnitude of the total electric force exerted on the charge at the lower left corner by the other three charges. 44 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. NA circular metal plate of radius 17.2 cm carries a total charge of 1.01 μC and the charge is distributed uniformly over the surface of the plate. Determine the surface charge density on the plate and report your answer in µC/m².
- Consider two point charges q1 = -7e and q2 = 2e situated on the %3D x-axis with qı at the origin as shown in the figure below. Suppose that r12 = 3.36 µm and r2p = has a magnitude that is most nearly 4.87 um. Then the net electric field at point P P• r2P 92 T12Four identical charged particles (q +11.1 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L-60.6 cm and W 16.4 cm. L W (a) Calculate the magnitude of the total electric force exerted on the charge at the lower left corner by the other three charges. XN (b) Calculate the direction of the total electric force exerted on the charge at the lower left corner by the other three charges. x (counterclockwise from the +x-axis)Two test charges are located in the xy plane. Charge q₁ = -3.950 nC and is located at x₁ = 0.00 m, y₁ = 0.7200 m. Charge 92 = 4.600 nC and is located at x2 = 1.100 m, y2 = 0.650 m. Calculate the x and y components, Ex and Ey, respectively, of the electric field Ĕ at the origin, (0, 0). The Coulomb force constant is 1/(4леo) = 8.99 × 10⁹ N.m²/C². Ex = N/C ㄢˋ Ey = = N/C
- Consider two charges q1=−40e and q2=−48e at positions (48,−46,29) and (32/√3, −10/√2 ,21) respectively where all the coordinates are measured in the scale of 10-9 m or nano meters. If position vector of the charge q1 is r⃗ 1 and charge q2 is r⃗ 2. Now consider another charge q3=−47e is in the xyz system positioned at (−41/√3, 42/√2, 35). Calculate the net force acting on q1 and q2. c) Net Force on q1 due to other charges x component of the force y component of the force z component of the force d) Net Force on q2 due to other charges x component of the force y component of the force z component of the forceTwo point charges are placed on the x-axis, +5.00 μC at the origin and -10.0 μC at x = 10.0 cm. (a) Find the electric field (magnitude and direction) on the x-axis at x = 6.00 cm.(b) : Draw a diagram and label the electric field vectors, including the net field vector, at point x = 6.00 cm. (Do not submit anything for part (b) on MasteringPhysics.)(c) Find the potential at x = 6.00 cm. k = 9.0 × 109 N ∙ m2/C2Two charges, q₁=3.1 mC and q₂=1.6q₁ are placed along x axis so that q₁ is at the origin and 92 is at point (12.4, 0) cm. Where along the x axis is the net electric field equal to zero? Enter the x-coordinate of the position. Provide your answer in centimeters, with precision of three significant figures.