# 0 pts) For the negative unity feedback system where A compensation network is to be added requirements: +40 +9 added to the system to meet the following closed-loop the T, S 1 second (hint T,- a. Based on the requirements, where should the dominant poles be located on the s- located at-am ± plane? (hint: for a second order system the dominant poles are Jod) b. The closed-loop poles of the system are located at-1.25 ± J2.86 at a gain of K 102.47 to meet the = needed: lead, lag or lead-lag? Why? 0.4 requirement. What type of compensator is . c. Th e compensator designer has decided to place the zero of the compensator at e 4.5. What is the required angle of the compensator pole, Pe Where should the pole be located on the real axis? What is the transfer function of the compensator? d. e.

0 pts) For the negative unity feedback system where A compensation network is to be added requirements: +40 +9 added to the system to meet the following closed-loop the T, S 1 second (hint T,- a. Based on the requirements, where should the dominant poles be located on the s- located at-am ± plane? (hint: … Continue reading 0 pts) For the negative unity feedback system where A compensation network is to be added requirements: +40 +9 added to the system to meet the following closed-loop the T, S 1 second (hint T,- a. Based on the requirements, where should the dominant poles be located on the s- located at-am ± plane? (hint: for a second order system the dominant poles are Jod) b. The closed-loop poles of the system are located at-1.25 ± J2.86 at a gain of K 102.47 to meet the = needed: lead, lag or lead-lag? Why? 0.4 requirement. What type of compensator is . c. Th e compensator designer has decided to place the zero of the compensator at e 4.5. What is the required angle of the compensator pole, Pe Where should the pole be located on the real axis? What is the transfer function of the compensator? d. e.

# The drawing shows a top view of two circular coils of conducting wire lying on a flat surface. The centers of the coils coincide. In the larger coil there are a switch and a battery. The smaller coil contains no switch and no battery. Describe the induced current that appears in the smaller coil when the switch in the larger coil is closed. (a) It flows counterclockwise forever after the switch is closed. (b) It flows clockwise forever after the switch is closed. (c) It flows counterclockwise, but only for a short period just after the switch is closed. (d) It flows clockwise, but only for a short period just after the switch is closed.

The drawing shows a top view of two circular coils of conducting wire lying on a flat surface. The centers of the coils coincide. In the larger coil there are a switch and a battery. The smaller coil contains no switch and no battery. Describe the induced current that appears in the smaller coil when … Continue reading The drawing shows a top view of two circular coils of conducting wire lying on a flat surface. The centers of the coils coincide. In the larger coil there are a switch and a battery. The smaller coil contains no switch and no battery. Describe the induced current that appears in the smaller coil when the switch in the larger coil is closed. (a) It flows counterclockwise forever after the switch is closed. (b) It flows clockwise forever after the switch is closed. (c) It flows counterclockwise, but only for a short period just after the switch is closed. (d) It flows clockwise, but only for a short period just after the switch is closed.

# The drawing shows a top view of two circular coils ofconducting wire lying on a flat surface. The centers of the coilscoincide. In the larger coil there are a switch and a battery. Thesmaller coil contains no switch and no battery. Describe theinduced current that appears in the smaller coil when the switch inthe larger coil is closed. (a) It flows counterclockwise forever after the switch isclosed. (b) It flows clockwise forever after the switch is closed. (c) It flows counterclockwise, but only for a short period justafter the switch is closed. (d) It flows clockwise, but only for a short period just after theswitch is closed.

The drawing shows a top view of two circular coils ofconducting wire lying on a flat surface. The centers of the coilscoincide. In the larger coil there are a switch and a battery. Thesmaller coil contains no switch and no battery. Describe theinduced current that appears in the smaller coil when the switch inthe larger … Continue reading The drawing shows a top view of two circular coils ofconducting wire lying on a flat surface. The centers of the coilscoincide. In the larger coil there are a switch and a battery. Thesmaller coil contains no switch and no battery. Describe theinduced current that appears in the smaller coil when the switch inthe larger coil is closed. (a) It flows counterclockwise forever after the switch isclosed. (b) It flows clockwise forever after the switch is closed. (c) It flows counterclockwise, but only for a short period justafter the switch is closed. (d) It flows clockwise, but only for a short period just after theswitch is closed.

# A long, vertical, straight wire carries a current I which is directed upward. The wire is perpendicular to the plane of a circular metal loop and passes through the center of the loop. The loop is allowed to fall and maintains its orientation with respect to the straight wire while doing so. In what direction does the current induced in the loop flow? a) There is no induced current b) It is flowing around the loop in a counterclockwise motion. c) It is flowing in a clockwise motion.

A long, vertical, straight wire carries a current I which is directed upward. The wire is perpendicular to the plane of a circular metal loop and passes through the center of the loop. The loop is allowed to fall and maintains its orientation with respect to the straight wire while doing so. In what direction … Continue reading A long, vertical, straight wire carries a current I which is directed upward. The wire is perpendicular to the plane of a circular metal loop and passes through the center of the loop. The loop is allowed to fall and maintains its orientation with respect to the straight wire while doing so. In what direction does the current induced in the loop flow? a) There is no induced current b) It is flowing around the loop in a counterclockwise motion. c) It is flowing in a clockwise motion.

# What is a magnetic dipole? Describe its magnetic field distribution.

What is a magnetic dipole? Describe its magnetic field distribution. A current loop with dimensions much smaller than the distance between the loop and the observation point is called a magnetic dipole. This is because the pattern of its magnetic field lines is similar to that of a permanent magnet, as well as to the … Continue reading What is a magnetic dipole? Describe its magnetic field distribution.

# Two infinitely long parallel wires carry currents of equal magnitude. What is the resultant magnetic field due to the two wires at a point midway between the wires, compared with the magnetic field due to one of them alone, if the currents are (a) in the same direction and (b) in opposite directions?

Two infinitely long parallel wires carry currents of equal magnitude. What is the resultant magnetic field due to the two wires at a point midway between the wires, compared with the magnetic field due to one of them alone, if the currents are (a) in the same direction and (b) in opposite directions?

# Exercise 5-5: A square coil of 100 turns and 0.5 m long sides is in a region with a uniform magnetic flux density of 0.2 T. If the maximum magnetic torque exerted on the coil is 4×10 −2 ( N·m), what is the current flowing in the coil?

Exercise 5-5: A square coil of 100 turns and 0.5 m long sides is in a region with a uniform magnetic flux density of 0.2 T. If the maximum magnetic torque exerted on the coil is 4×10 −2 ( N·m), what is the current flowing in the coil?

# Exercise 5-4: A horizontal wire with a mass per unit length of 0.2 kg/m carries a current of 4 A in the +x direction. If the wire is placed in a uniform magnetic flux density B, what should the direction and minimum magnitude of B be in order to magnetically lift the wire vertically upward? [Hint: The acceleration due to gravity is g = −ˆz 9.8 m/s2 . ] Answer: B = ˆy0.49 T.

Exercise 5-4: A horizontal wire with a mass per unit length of 0.2 kg/m carries a current of 4 A in the +x direction. If the wire is placed in a uniform magnetic flux density B, what should the direction and minimum magnitude of B be in order to magnetically lift the wire vertically upward? … Continue reading Exercise 5-4: A horizontal wire with a mass per unit length of 0.2 kg/m carries a current of 4 A in the +x direction. If the wire is placed in a uniform magnetic flux density B, what should the direction and minimum magnitude of B be in order to magnetically lift the wire vertically upward? [Hint: The acceleration due to gravity is g = −ˆz 9.8 m/s2 . ] Answer: B = ˆy0.49 T.

# Concept Question 5-2: The ends of a 10 cm long wire carrying a constant current I are anchored at two points on the x axis, namely x = 0 and x = 6 cm. If thewire lies in the x–y plane in a magnetic field B = ˆyB0 , which of the following arrangements produces a greater magnetic force on the wire: (a) wire is V-shaped with corners at (0, 0), (3, 4), and (6, 0), (b) wire is an open rectangle with corners at (0, 0), (0, 2), (6, 2), and (6, 0).

Concept Question 5-2: The ends of a 10 cm long wire carrying a constant current I are anchored at two points on the x axis, namely x = 0 and x = 6 cm. If thewire lies in the x–y plane in a magnetic field B = ˆyB0 , which of the following arrangements produces … Continue reading Concept Question 5-2: The ends of a 10 cm long wire carrying a constant current I are anchored at two points on the x axis, namely x = 0 and x = 6 cm. If thewire lies in the x–y plane in a magnetic field B = ˆyB0 , which of the following arrangements produces a greater magnetic force on the wire: (a) wire is V-shaped with corners at (0, 0), (3, 4), and (6, 0), (b) wire is an open rectangle with corners at (0, 0), (0, 2), (6, 2), and (6, 0).

# Exercise 5-3: A charged particle with velocity u is moving in a medium with uniform fields E = ˆxE and B = ˆyB. What should u be so that the particle experiences no net force?

Exercise 5-3: A charged particle with velocity u is moving in a medium with uniform fields E = ˆxE and B = ˆyB. What should u be so that the particle experiences no net force?