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1. A capacitor is composed of 2 plates separated by a sheet of insulating material 2mm thick and of relative permittivity 3. The distance between the plates is increased to allow the insertion of a second sheet of 3mm thick and of relative permittivity & If the equivalent capacitance is one-half of the original capacitance, find the value of ɛr. 2. In the given network, each capacitor has C = 4.00 µF and V ab +28.0 V. Calculate the: a. Total capacitance b. Charge on each capacitor c. Potential difference on each capacitor C4 3. A 20 µF capacitor is charged to 120 V and then disconnected from the power supply. If a second uncharged capacitor with capacitance of 50 µF is connected across the first capacitor, what would be the resulting voltage across their parallel combination? 4. A parallel-plate capacitor in air has a plate separation of 1.35 cm and a plate area of 35.0 cm2. The plates are charged to a potential difference of 150 V and disconnected from the source. The capacitor is…

H.W. to 1. Suppose in some region of space the electric potential is given by V(x.y.z) =V-E=+ Eya'z Jabby Where a is a constant with dimensions of length. Find the x, y, and the z-components of っしeと the associated electric field. 2. Suppose that the electric potential in some region of space is given by V(x.y.z)=V, exp(-k|:)cos kx Find the electric field everywhere.

What is the potential difference ( in volts) across C2 when C, = 5.0 µF, C2 = 15 µF, C3 = 30 µF, and Vo = 58.4 V? %3D C2 V. Select one: A. 53.73 B. 19.47 C. 29.20 D. 87.60 E. 38.93

Two parallel metal plates with an area of 1m^2 are filled with materials with different conductivity as given in figure a) Obtain effective retention of two metal plates. b) If the potential difference of 10 mV (ground connection to the bottom plate) is maintained between the metal plates, Find E and J from each area. c) Obtain the power dissipation in each area.

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3. Suppose that grem a certain region of Space the electrical potential is given by V(xy,7) -$x²-3xyt xyz a) Find the rate of change of the electrical potential the coordinates (4,3,2) in the point with direction of ã =. at 6.) m which direction does V change most rapialy at the point (4,3,1) c) What is the the maximum rati ot change V at point (4,3,2)

What is the potential difference ( in volts) across C2 when C1 = 5.0 µF, C2 = 15 µF, C3 = 30 µF, and Vo = 88.1 V? %3D C; C, C3 Vo Select one: A. 29.37 B. 58.73 C. 81.05 D. 132.15 E. 44.05

Hi! Can someone answer Activity 1, no. 1? Thanks!