2. (25 points) Two concentric spheres have radii Ri and R2 (R2 > Ri). The potential everywhere on the surface of the inner sphere is zero. On the surface of the outer sphere the potential is given by V(R2,0-10 cos2 θ, where Vo is a constant and θ is one of the spherical coordinates. What is the potential in the region Ri < R2?
17 5.5 Ri Ri 8 Ri (a) What is the current through each battery? (Indicate the direction with the sign of your answer. Take upward to be positive.) battery 1 battery 2 battery 3 (b) What is the potential difference Va-Vb?
2. Suppose re - exeFereFeF, and ri - exFEDCBA98, find the result of the following operations (1) EOR r3, ri, re (2) ORR r3, r1, re (3) AND r3, rl, re (4) BIC r3, r1, re (5) BFI r3, r1, #4, #8 (6) MVN r3, r1 (7) MVN r3, re (8) MVN r3, re ADD r3, r1, r3 2. Suppose re - exeFereFeF, and ri - exFEDCBA98, find the result of the following operations (1) EOR r3, ri, re (2)...
(2) Verify here is the sample average of ri,... ,Tn
2. Voltage divider for a group of resistors Ri Figure 2 The voltage divider circuit For the circuit shown above, derive the espression for the output voltage V, as a function of the input voltage and the resistances (V, Ri,and R2)
17. If Ri 2 ?,R-2 ?, L-0.5 H, and C-0.125 F, and if the radian frequency is o 4 rad/s, the equivalent impedance Zeq (in ohms) at terminals a and b is Ri P2 1. 2+j0 2. 2+j4 3. 2-j4 Zeq 5. 4-j2 bo
Suppose RF = 3%, IM = 12%, and bj = 1.9. a. What is ri, the required rate of return on Stock i? Round your answer to two decimal places. % b. 1. Now suppose rRF increases to 4%. The slope of the SML remains constant. How would this affect rm and ri? I. IM will remain the same and ri will increase by 1%. II. rm will increase by 1% and ri will remain the same. III. Both rm...
Find the relationship between v2 and vi in the circuit of Figure 1. RI RI tôi w Figure 1
2. For each of the following networks, write an expression for the total resistance, R Ri Rs 8
2) Circuitous Equivalence (20 points). Solve the circuit below to determine the relationship between Ri and R2. The bottom node is grounded as shown, and the voltage at node A-+1 V relative to ground. Solve the circuit using two different methods, referring to Figure 2-37 in the textbook. by first making Vs and Ri into an equivalent current source and resistor and ther reducing and solving the circuit. by first making Is and R2 into an equivalent voltage source and...