At any point on the surface of an imaginary sphere of radius r = 3 mm, the electric field value is E = 10 N/C and is in the radius direction and outward. Find the total charge inside the sphere (k=9x10° N.m²/C², Eo=8.85x10-¹2 C²/ N.m²)
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- Charges q1 and q2 are located on the corners of a rectangle. If width w=60 cm and length l=80.2 cm find the magnitude of the electric field (in N/C) at P when q1= 4.08 nC and q2=1.43 nC.Two point charges are enclosed by a spherical conducting shell that has an inner and outer radius of 13.0 cm13.0 cm and 15.2 cm,15.2 cm, respectively. One point charge has a charge of ?1=8.10 μC,�1=8.10 μC, while the second point charge has an unknown charge ?2.�2. The conducting shell is known to have a net electric charge of −3.70 μC,−3.70 μC, but measurements find that the charge on the outer surface of the shell is 3.70 μC.3.70 μC. Determine the charge ?2�2 of the second point charge in units of microcoulombs.A metal sphere of radius 10 cm carries a charge of +2.0 micro C. What is the magnitude of the electric field 5.0 cm from the sphere's surface
- On the x axis, a point charge Q is placed at the origin x = 0.00 m. The electric field at x = 2.50 m is measured to be 6.77E-3 N/C in the –xdirection. What is the electric field E at x = –1.00 m (in N/C; use positive sign if E points in the +x direction, and negative sign if E points in the –xdirection)?= 3.95 μC. Express your answer in vector form.) The figure below shows three charged spheres arranged along the y axis. (Assume q₁ = 2.90 μC and 92 91 75.0 cm -4.80 μC X 22.0 cm 92 (a) What is the electric field at x = 0, y = 2.80 m? N/C (b) What is the electric field at x = 2.80 m, y = 0? = N/CThe electric field between two parallel square metal plates is 240 N/C. The plates have an area of 0.64m2 on a side and are separated by 0.02m. What is the charge on each plate (assume equal and opposite)? Neglect edge effects. (Hint : The electric field in parallel plates is E 2, where o is the surface charge density ) €0 O 3.75 x 10-8 C O 1.36 x 10-8 C 8.83 x 10-8 C O 1.36 × 10-9 C
- A nonuniform electric field is directed along the x-axis at all points in space, as shown in the figure. The diameter of the cylindrical surface id of 0.20 m. If the electric fields E1 and E2, at the ends of the cylindrical surface, have magnitudes of 2009.5 N/C and 1193.7 N/C respectively, find the net charge (in pC) in this cylindrical surface? 0.20 m E 0.80 m a. 890.59 Ob.-2268.18 O C. -226.82 O d. -890.59 O e. 226.82Answer: 1.) The electric field magnitude and vector angle at qa due to qb? 2.) The electric field magnitude and vector angle at qa due to qc? 3.) The electric field magnitude and vector angle at qa due to q? 4.) The NET electric field magnitude and vector angle at qa?There is a 22.2 pC point charge. What is the magnitude of the electric field (in N/C) 67.4 mm away from this charge?