25 questions total The next two questions refer to the following situation: Four

Question

25 questions total

The next two questions refer to the following situation:

Four charges are placed at the corners of a square of sides 2a. Let a = 3 m and q = 2 C.

1. The magnitude of the electric field, EA, at the origin, point A, is equal to zero.

a. True

b. False

2. At point B, located at (x,y) = (a,0), what is the direction of the electric field, EB ?

a. EB is pointing towards positive x.

b. EB is pointing towards negative x.

c. EB is pointing towards positive y.

d. EB is pointing towards negative y.

e. EB is zero.

The next two questions refer to the following situation:

Two point charges are placed on the x-axis as shown. Let Q = 3 C and a = 5 m.

3. The y component of the electric field at point A is zero.

a. True

b. False

4. The magnitudes of the electric field at point A and point B are EA and EB, respectively. What is the ratio of EA over EB?

The next two questions pertain to the situation described below:

A solid sphere of radius a is centered at the origin. It is made of an insulating material and carries a uniform charge density with total charge Q1. It is surrounded by a hollow, concentric conducting shell of inner radius b and outer radius c. The outer shell has total charge Q2.

5. Compute the magnitude of the electric field at the point x = 30 cm on the x-axis.

a. || = 15 × 105 N/C

b. || =   5 × 105 N/C

c. || = 10 × 105 N/C

6. The total charge on the outer surface of the conducting shell at r = c = 20 cm is

a. Q2

b. Q2 +Q1

c. Q2 – Q1

The following four questions pertain to the situation described below.

Four capacitors are connected to a battery in the manner shown at right. All capacitances are given in the table next to the figure, but the voltage V delivered by the battery is unknown. What is known is that, when connected to the network, the capacitor C1 acquires a charge of magnitude |Q1| = 15 nC = 15 × 10-9 C on each of its plates.

7. How much energy is stored in the capacitor C1 when the network is connected?

a. 1.41 × 10-5 J

b. 4.41 × 10-5 J

c. 8.87 × 10-5 J

8. What is the voltage V supplied by the battery?

a. V = 9.09 kV

b. V = 5.88 kV

c. V = 1.88 kV

d. V = 0.91 kV

e. V = 0.87 kV

9. What is the charge Q4 on capacitor C4?

a. Q4 = 7.5 nC

b. Q4 = 15 nC

c. Q4 = 30 nC

The following three questions refer to the following situation:

Three charges Q1, Q2, and Q3 are arranged on the y-axis as shown in the figure below.

Q1 is located at (0, a), Q2 is located at the origin, and Q3 is located at (0,a).

10. Find the energy stored in the charge configuration of Q1, Q2, and Q3 (i.e., the work that was necessary to assemble the three charges).

a. U = 13140 J

b. U = 122 J

c. U = 34.5 J

d. U = 158 J

e. U = 14940 J

11. A fourth charge q = +2 C is now brought in from infinity, and placed on the x-axis at a distance of d = 3 cm from the origin:

Find the y-component of the net force of Q1, Q2, and Q3 on q.

a. Fy = 54.0 N

b. Fy = 17.1 N

c. Fy = 0 N

d. Fy = +17.1 N

e. Fy = +54.0 N

12. As charge q is moved along the x axis from x = + infinity to x = 0, is there some point on the x-axis where the net work done on the charge is zero?   No calculation is necessary to answer this question correctly.   

a. Yes, there is.

b. No, there is not.

The next two questions pertain to the situation described below.

Consider two ions, labeled A and B. Each ion carries a positive charge q = +|e|, but they have different masses: mA and mB. Both ions are accelerated until they have the same initial kinetic energy KE0, then they are sent into a region containing a constant, uniform magnetic field of unknown magnitude and direction. The ions’ initial velocity is in the +x direction and they enter the B-field region at the origin. Within the field region, they follow curved paths confined to the xy-plane (z = 0), then emerge at different locations on the y-axis: ion A emerges at y = a, and ion B emerges at y = b, where b > a as shown.

13. What is the direction of the uniform magnetic field in the region x > 0?

a. +x direction (to the right)

b. –x direction (to the left)

c. +y direction (upward)

d. +z direction (out of the page)

e. –z direction (into the page)

14. Given that the two ions have the same charge q, the same initial kinetic energy KE0, and the trajectories shown in the figure, what can we conclude about their masses?

a. mA > mB

b. mA < mB

c. We cannot conclude anything about their masses from the given information.

The next two questions pertain to the circuit below.

Two batteries and three resistors are connected as shown below. The battery voltage E1 is unknown but the current I1 through the resistor R1 is known to be 2.4 A. The values of the battery voltage E2 and the three resistors are given on the right side of the circuit.

15. What is the relationship between the voltage drops, V2 and V3, across the resistors R2 and R3?

a. V2 > V3

b. V2 = V3

c. V2 < V3

16. Calculate the battery voltage E1.

a. E1 = 12 V

b. E1 = 15 V

c. E1 = 18 V

d. E1 = 24 V

e. E1 = 30 V

The next three questions pertain to the circuit below.

17. Compare the magnitudes of the currents I2 and I5 through the resistors R2 and R5, respectively.

I2 > I5

I2 = I5

I2 < I5

18. Calculate the total power, P, delivered to the circuit by the battery.

P = 15.0 W

P = 20.0 W

P = 21.6 W

P = 36.0 W

P = 64.8 W

19. Batteries that are not ideal have non-zero internal resistances. If the ideal battery in the above circuit is replaced with a non-ideal battery having the same voltage rating, the current I1 through resistor R1 will decrease.

True

False

The next three questions pertain to the situation described below.

Consider the circuit shown at right, consisting of four resistors and two (ideal) batteries. The values of all circuit elements are given in the figure.

20. What is the current through resistor R4?

a. 0.44 A

b. 0.89 A

c. 2.22 A

21. How much power is dissipated in resistor R3?

a. 6.02 W

b. 6.55 W

c. 9.60 W

d. 46.2 W

e. 50.7 W

22. What is the electrical potential difference between the points A and B marked on the circuit?

a. VB – VA = –3.8 V

b. VB – VA = –2.5 V

c. VB – VA = +2.5 V

d. VB – VA = +3.8 V

e. VB – VA = +12 V

The next two questions pertain to the situation described below.

23. The torque on the loop is in the +z direction.

a. True

b. False

24. The magnitude of the torque on the loop is measured to be = 1.2 N·m. Calculate the magnitude of the current I in the loop.

a. I = 12.5 A

b. I = 0.5 A

c. I = 1.3 A

d. I = 36.5 A

e. I = 2.9 A

21. Consider a circuit consisting of two resistors and a battery. Which of the following configurations for an ammeter and a voltmeter is correct to measure the current through and the voltage across the resistor R2?

Configuration 1

Configuration 2

Explanation / Answer

1. true
2.  EB is pointing towards negative y.
3. True
4.

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