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″}

Find the instantaneous rate of change for the function at the given value: f(x)=x2-6x, x=5{“version”:”1.1″,”math”:”f(x)=x2-6x, x=5″}

Find the value of k{“version”:”1.1″,”math”:”k”} that makes the following piecewise function continuous. fx=kx-7if x≤4×2+1if x>4{“version”:”1.1″,”math”:”fx=kx-7if x≤4×2+1if x>4″}

Consider the graph below: Compute: limx→1fx{“version”:”1.1″,”math”:”limx→1fx”}

Graph the set of real numbers on a number line.{x|3 ≤ x < 7}

Graph the set of real numbers on a number line.{x|-1 ≤ x ≤ 3}