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A parallel-plate capacitor with plate separation of 1.0 cm has square plates, each with an area of 6.0 × 10-2 m2. What is the capacitance of this capacitor if a dielectric material with a dielectric constant of 2.4 is placed between the plates, completely filling them? NOTE: Answer should be in decimals (i.e 3.1×10-6 would be 0.0000031) and include the unit with your answer.

A nonuniform electric field is directed along the x-axis at all points in space. This magnitude of the field varies with x, but not with respect to y or z. The axis of a cylindrical surface, 0.80 m long and 0.20 m in diameter, is aligned parallel to the x-axis, as shown in the figure. The electric fields E1 and E2, at the ends of the cylindrical surface, have magnitudes of 6000 N/C and 1000 N/C respectively, and are directed as shown. NOTE: Include the unit with your answer. To place a squared number in the answer, use the ^ (shift 6) after the number.   What is the net electric flux passing through the cylindrical surface?

Thirteen resistors are connected across points A and B as shown in the figure. If all the resistors are accurate to 2 significant figures, what is the equivalent resistance between points A and B? NOTE: Answer should include the unit (as a word) with your answer.  

The figure below shows an uneven arrangement of electrons “e” and protons “p” on a circular arc of radius r = 2.00 cm with angles θ1 = 30°, θ2 = 50°, θ3 = 30°, θ4 = 20°.  Find the following:   Show on a free body diagram the direction of the electric fields at point c due to the surrounding particles. NOTE: The free body diagram needs to be provided along with your work and uploaded into CANVAS by 7:15PM. Magnitude of the at point c? NOTE: Answer should be in decimals (i.e 3.1×10-6 would be 0.0000031) and include the unit with your answer.[Magnitude] Direction (relative to the positive x-axis) of the net electric field at point c? NOTE: Answer should be in degrees.[Direction]

In the circuit shown in the figure, resistor A has three times the resistance of resistor B. Therefore;

For the circuit below, R1 = 2000 Ω, R2 = 3000 Ω, R3 = 4000 Ω, and emf = 12V; use Kirchoff’s Laws to find the following: NOTE: Answer should be in decimals (i.e 3.1×10-6 would be 0.0000031) and include the unit with your answer.   The current through resistor R1 is [I1]. The current through resistor R2 is [I2]. The current through resistor R3 is [I3]. The potential difference between pair VA – VB is [VAB]. The potential difference between pair VA – VC is [VAC]. The potential difference between pair VC – VB is [VCB]. The power in resistor R1 is [P1]. The power in resistor R2 is [P2]. The power in resistor R3 is [P3].

What is the electric potential at point P located at the center of the square of point charges q1 = +12 nC, q2 = -24 nC, q3 = +31 nC, q4 = +14 nC with distance d = 1.3 m? NOTE: Include the unit with your answer.  

Six charged particles surround particle 7 at radial distances of d = 1.0 cm, as drawn. The charges are q1 = +2e, q2 = +4e, q3 = +e, q4 = +4e, q5 = +2e, q6 = +8e, q7 = +6e, with e = 1.602 x 10-19 C.   Show on a free body diagram the direction of the forces on particle 7 due to the surrounding particles. NOTE: The free body diagram needs to be provided along with your work and uploaded into CANVAS by 7:15PM. What is the magnitude of the net electrostatic force on particle 7? NOTE: Include the unit with your answer.

Two large metal plates carry equal and opposite charges spread over their surfaces, as shown in the figure. Which statements about these plates are correct?  

Use algebra to solve the following limit: limx→4×2-6x+8×2-16{“version”:”1.1″,”math”:”limx→4×2-6x+8×2-16″}