Calculate the charge density of a rectangular plate with dimensions (5.066x10^ 1) cm by (3.209x10^1) cm and total charge (-2.78x10^0) mC
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- 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 surfaceA test charge of 13 μC is at a point P where the electric field due to other charges is directed to the right and has a magnitude of 4 x 106 N/C. If the test charge is replaced with a charge of -3 μC, the electric field at P is
- 2 narrow, flat metal plates are positioned vertically, 20.00 cm. The first plate has a positive charge with charge density σ=+630.0 mC/m2 and a second plate has an equal but opposite negative charge with charge density σ=-6300.0 mC/m2 . There are also two narrow, flat metal plates positioned horizontally, 30.00 cm apart, with the top plate given a negative charge, and the bottom plate given an equal but opposite positive charge, such that the electric potential of the bottom plate is 5.00 V higher than the top plate. A small sphere with a mass of m =64.35 g, and a charge of q =22.00 mC is attached to a narrow, stiff, massless, insulating rod with a length of L= 8.00 cm, which is pivoted at point O, which is 2.000 cm from the second plate. The sphere/rod unit is angled at 5 degrees with horizontal and released from rest. Will the sphere/rod ever hit an angle of 0 degrees with the horizontal? If so, how long will it take to reach that point?If the electric field strength in air exceeds 3.0 ✕ 106 N/C, the air becomes a conductor. Using this fact, determine the maximum amount of charge that can be carried by a metal sphere 3.9 m in radius. _________ CTwo circular metal plates of diameter 10cm are seperated by a distance of 1mm. One carries a positive charge and the other and equal negative charge. If the electric field between them is 5x10^5 N/C, find the charge on each plate. Sketch the electric field lines.
- Problem 4: Charge Q1 = 2.8 µC is located at r = (3.4i – 2.0j + 4.5k) m. A second charge Q, = 3.9 µC is located at r, = (8.0i – 3.6j – 9.0k) m. Part (a) What is the magnitude of the force of the second charge on the first charge in newtons? Numeric :A numeric value is expected and not an expression. Part (b) The force of the second charge on the first charge can be written using unit vectors as follows: F= Fi+F,j+F,k What is the value of F, in newtons? Numeric :A numeric value is expected and not an expression. Part (c) What is the value of F, in newtons? Numeric :A numeric value is expected and not an expression. Fy- Part (d) What is the value of F, in newtons? Numeric :A numeric value is expected and not an expression.The 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 CA wire has a linear charge density (x) = 2.35x, where x is in meters (m) and is in C/m. If the length of the wire is 3.7 m, the total charge on the wire is O 16 C. 11 C. O 8.0 C. 1.2 C.