True/False and multiple choice questions. Provide a brief explanation (a couple of sentences) to justify your answer. (a) A Faraday cage is a closed container that is made of conducting material. Suppose that a Faraday cage is placed in an external electric field E. True or False: The electric field E inside this container is zero. (b) Consider an infinitely long straight wire with current travelling in the ê direction. True or False: The magnetic vector potential A at a point P located at some distance from this wire points in the radial p direction. (c) Consider the figure at the bottom left, which is an infinitely long coaxial wire and is cylin- drically symmetric. The inner wire (radius R1) is conducting current which flows out the page and is equal to 1.0 Amperes. The outer wire (hollow cylindrical shell radius R2) is also conducting current which flows into the page and is also equal to 1.0 Amperes. True or False: The magnetic field (H or B) is equal to zero outside of this arrangement

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True/False and multiple choice questions.
Provide a brief explanation (a couple of sentences) to justify your answer.
(a) A Faraday cage is a closed container that is made of conducting material. Suppose that a
Faraday cage is placed in an external electric field E. True or False: The electric field E
inside this container is zero.
(b) Consider an infinitely long straight wire with current travelling in the 2 direction. True or
False: The magnetic vector potential A at a point P located at some distance from this wire
points in the radial p direction.
(c) Consider the figure at the bottom left, which is an infinitely long coaxial wire and is cylin-
drically symmetric. The inner wire (radius R1) is conducting current which flows out the
page and is equal to 1.0 Amperes. The outer wire (hollow cylindrical shell radius R2) is also
conducting current which flows into the page and is also equal to 1.0 Amperes.
True or False: The magnetic field (H or B) is equal to zero outside of this arrangement
(d) Consider the figure at the bottom middle which is a collection of positive charges and are
initially moving at random directions within the plane of the page (xy plane) as shown.
Suppose a magnetic field B is then turned on and points out of the page (+2). After B is
turned on, which one of the following is true?
i. The speed of the particles will decrease.
ii. The speed of the particles will increase.
iii. The particles will all travel in circles within xy plane in the counterclockwise direction.
iv. The particles will all travel in circles within xy plane in the clockwise direction.
R1
\R2
R1
R2
a
Transcribed Image Text:True/False and multiple choice questions. Provide a brief explanation (a couple of sentences) to justify your answer. (a) A Faraday cage is a closed container that is made of conducting material. Suppose that a Faraday cage is placed in an external electric field E. True or False: The electric field E inside this container is zero. (b) Consider an infinitely long straight wire with current travelling in the 2 direction. True or False: The magnetic vector potential A at a point P located at some distance from this wire points in the radial p direction. (c) Consider the figure at the bottom left, which is an infinitely long coaxial wire and is cylin- drically symmetric. The inner wire (radius R1) is conducting current which flows out the page and is equal to 1.0 Amperes. The outer wire (hollow cylindrical shell radius R2) is also conducting current which flows into the page and is also equal to 1.0 Amperes. True or False: The magnetic field (H or B) is equal to zero outside of this arrangement (d) Consider the figure at the bottom middle which is a collection of positive charges and are initially moving at random directions within the plane of the page (xy plane) as shown. Suppose a magnetic field B is then turned on and points out of the page (+2). After B is turned on, which one of the following is true? i. The speed of the particles will decrease. ii. The speed of the particles will increase. iii. The particles will all travel in circles within xy plane in the counterclockwise direction. iv. The particles will all travel in circles within xy plane in the clockwise direction. R1 \R2 R1 R2 a
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