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PHYS 205 Final Exam with solutions
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PHYS 205 Final Exam with solutions
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Final ExaminationCourse: PHYS 205-Sections 01, EC 1
Date: December 11/2021
Exam time: 9:00 – 11:00
Instructors: Seyyed Nima Nateghi (01) / Georges Abinader (EC 1)
Multiple Choice
1. (4 marks) Two imaginary spherical surfaces of radius R and 2R, respectively, surround a
positive point charge Q located at the center of the concentric spheres. When compared to
the number of electric field lines N1 going through the sphere of radius R, the number of
electric field lines N2 going through the sphere of radius 2R is:
𝑁1
a) 𝑁2 = 4
𝑁1
b) 𝑁2 = 2
c) 𝑁2 = 𝑁1
d) 𝑁2 = 2𝑁1
e) 𝑁2 = 4𝑁1
2. (4 marks) A parallel-plate capacitor of capacitance C0 has plates of area A with
separation d between them. When it is connected to a battery of voltage V0, it has charge
of magnitude Q0 on its plates. The plates are pulled apart to a separation 2d while the
capacitor remains connected to the battery. After the plates are 2d apart, the magnitude of
the charge on the plates and the potential difference between them are:
𝑄0 𝑉0
a) ,
2 2
𝑄0
b) , 𝑉0
2
c) 𝑄0 , 𝑉0
d) 2𝑄0 , 𝑉0
e) 2𝑄0 , 2𝑉0
3. (4 marks) What is the potential difference VB − VA when I = 0.50 A in the circuit
segment shown below?
a) +28 V
b) + 2 V
, c) -28 V
d) -2 V
+18 V
4. (4 marks) Consider the AC circuit in the figure. The frequency of the
AC source is adjusted while its voltage amplitude is held constant. When
does the lightbulb glow the brightest?
a) It glows brightest at high frequencies.
b) It glows brightest at low frequencies.
c) The brightness is the same at all frequencies.
5. (4 marks) As shown in the figure, a bar magnet is dropped and
passes through a circular loop. Looking from the top, what is the
direction of the induced current in the loop as the magnet
approaches and then when it goes away from the loop:
a) Clockwise and then counter-clockwise
b) Counter-clockwise and then clockwise
c) Clockwise in both cases
d) Counter-clockwise in both cases
e) There will be no induced current in the loop
6. (4 marks) What is the radius of curvature of the path of a 3-keV proton in a perpendicular
magnetic field of magnitude 0.8 T?
a) 9.9 mm
b) 1.1 cm
c) 1.3 cm
d) 1.4 cm
e) 7.6 mm
7. (4 marks) An electron is moving North in a region where the magnetic field is South.
The magnetic force exerted on the electron is:
a) zero
b) up
c) North
d) East
e) West
8. (4 marks) Two long parallel straight wires carry equal currents in opposite directions. At
a point midway between the wires, the magnetic field they produce is:
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