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Problem 2 (lab activity too):Two parallel conducting plates are connected to a powersupply of 3.00 volts. The polarity of the charges on eachplates are shown in the figure. Each plate has a length of

15.00 cm and a width of 8.00 cm, and the separation betweenthe two plates is 4.00 cm.(a) Sketch how you would connect the power supply to theplates. Clearly indicate the polarity of the power supply.(b) Determine the electric potential at the negative plate Vaand electric potential at the positive plate Vb.(c) Determine the magnitude of the electric field between theplates. What is the unit of the electric field? Can you convertit to N/C? Show your work.(d) Determine the electric potentials (relative to the negativeplate) at location M which is 3.00 cm away from the positiveplate and at location N which is 1.00 cm away from thepositive plate.(e) Determine the charge density and the total charge on each

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Problem 1 (lab activity): Electric potential and electric field due to

two equally but oppositely charged coaxial cylinders: A hollowconducting cylinder with a radius b and a length of L is coaxial with along solid thin cylinder with a radius a. The two cylinders are

connected to a power supply with a voltage 15 volts. The outer cylinderis connected to the negative terminal of the power supply (for safetyreason if voltage high), while the cylinder inside is connected to thepositive terminal of the power supply. (Assume L >> b and L >> a, andthen the edge effect can be neglected.)(a) Sketch the charge distribution on each cylinder.(b) Sketch the electric field lines between a and b.(c) Determine the charge density (i.e., the charge per unit length) oneach cylinder and the total charge on each cylinder.(d) Determine the electric potential at a point between a and b.(e) Sketch a few of equipotential surfaces between a and b. Look at theelectric filed lines and the lines representing equipotential surfaces, are

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Problem 3.Electric potential and electric field due to two equally but oppositelycharged concentric spherical conductors: A spherical conducting shell of radius b withcharge -Q is concentric with a small conducting sphere of radius a with charge +Q (see thefigure at the right).(a) Sketch the electric filed lines in space between a and b.

(b) Determine the electric field at a point r = c, which a < c < b. [Hint: Apply Gauss's law.](c) Prove that the magnitude of the potential difference between the two spheres is .Use the unit checking method to evaluate if this result has the unit of electricpotential or not.

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