OpenStax University Physics/Archived sample/T1V2
PhysicsCalc2152657831440
PhysicsCalc2:T1:V2
editPhysicsCalc2152657831440
1) A proton is accelerated (at rest) from a plate held at 333.6 volts to a plate at zero volts. What is the final speed?
- a) 1.1 x 105 m/s.
- b) 1.7 x 105 m/s.
- c) 2.5 x 105 m/s.
- d) 3.8 x 105 m/s.
- e) 5.7 x 105 m/s.
2) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =( 5a, 4a) is βkQ/a2, where β equals
- a) 1.76 x 10-3 unit
- b) 2.13 x 10-3 unit
- c) 2.59 x 10-3 unit
- d) 3.13 x 10-3 unit
- e) 3.79 x 10-3 unit
3) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?
- a) 0.91 J.
- b) 1.05 J.
- c) 1.21 J.
- d) 1.39 J.
- e) 1.6 J.
4) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?
(assuming ) , where :
- a) 5
- b) 1−s
- c) 5−s
- d) s−1
- e) s−4
5) A cylinder of radius, r=2, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,
Let be the outward unit normal to this cylinder and evaluate ,
over the top surface of the cylinder.
- a) 6.201E+02
- b) 7.513E+02
- c) 9.102E+02
- d) 1.103E+03
- e) 1.336E+03
6) How fast is a 2355 eV electron moving?
- a) 1.9 x 107 m/s.
- b) 2.9 x 107 m/s.
- c) 4.3 x 107 m/s.
- d) 6.5 x 107 m/s.
- e) 9.7 x 107 m/s.
7) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the force between the plates if they are 0.7 mm apart?
- a) 1826 N.
- b) 2099 N.
- c) 2414 N.
- d) 2776 N.
- e) 3193 N.
8) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =( 1.1a, 1.2a) is βkQ/a2, where β equals
- a) 2.86 x 10-1
- b) 3.47 x 10-1
- c) 4.2 x 10-1
- d) 5.09 x 10-1
- e) 6.17 x 10-1
9) A line of charge density λ situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)?
(assuming ) , where :
- a) s−7
- b) 8
- c) s−3
- d) 7−s
- e) 3−s
10) Integrate the line integral of from the origin to the point at x = 2.8 and y = 3.2
- a) 5.26E+01
- b) 5.62E+01
- c) 6.02E+01
- d) 6.44E+01
- e) 6.89E+01
11) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?
(assuming ) , where :
- a) 2
- b) 1/2
- c) 3
- d) 2/3
- e) 3/2
12) A cylinder of radius, r=3, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,
Let be the outward unit normal to this cylinder and evaluate ,
over the curved side surface of the cylinder.
- a) 7.465E+02
- b) 9.044E+02
- c) 1.096E+03
- d) 1.327E+03
- e) 1.608E+03