Two squares plates have the surface charge densities of +o and -o and sides of length L. They are face to face next to each at a distance of 0.01L apart. Let ko = 1. 0.01L a. What is the magnitude of the electric field in the middle between the centers of both plates? b. What is the magnitude of the electric field in the middle between the centers of both plates in the near-field approximation? c. What is the relative error of the near-field approximation?

a. Draw the electric field lines around a system that consists of two equal negative charges.  b. Calculate the electric force that exists between two objects that are 7.3 × 10 –2 m apart and carry charges of 4.5 × 10 –6 C and –7.2 × 10 –6 C. Is this force attractive or repulsive? c. Write two or three sentences to explain the effect on the electric force between two charged objects if the amount of charge on one of the objects is doubled at the same time as the distance between the objects is doubled.

The Oscilloscope 2. A solid non-conducting cylinder has a radius A and a volume charge density p(r) = a + where a and ẞ are constants. B r a. What is the total charge on the cylinder? b. What is the electric field everywhere (r A)?

3. Assume a solid conductor is placed next to a negatively charged sphere. This causes the surface of the conductor near the sphere to become positively charged so that the net electric field inside the conductor is zero. Now we cut a hole so that it is entirely encased by the conductor. а. Does removing part of the inside of the conductor affect the electric field? cross-section of 3D conductor b. What the electric field inside the hole? c. Explain why sensitive equipment are often placed inside conductors. For example, circuit boards are typically shipped in foil-lined bags while cell phone signals are weaker inside warehouses with metal sides.

You have a conducting sphere shell that has radius R. It Carrie a total positive charge of Q. Point p is located inside the sphere at distance r=R/2 from the center, as shown in the picture. What is the magnitude of the electric feild at point P? a. 2KeQ/R² b. KeQ/R²c. KeQ/2R² d. KeQ/4R² e. 0

The electric field between two square metal plates is 230 N/C . The plates are 2.0 m on a side and are separated by 5.0 cm. Part A What is the charge on each plate (assume equal and opposite)? Neglect edge effects. Express your answer to two significant figures and include the appropriate units. HA ? |Q = Value Units Submit Request Answer

please answer both parts with good explanation.

a. Two spheres of charges, q1 = (Z+ 35) mC and q2 = (Z+ 23) µC are placed at a distance of %3D %3D 8 mm. i. Determine the electric field on q1. ii. Determine the electric field on q2. iii. Compare your results from the part i. and ii., discuss and give conclusion.

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