A particle (mass = 6.0 mg) moves with a speed of 4.0 km/s in a direction that makes an angle of 37 above the positive x axis in the xy plane. At the instant it enters a magnetic field of (5.0 ) mT it experiences an acceleration of (8.0 ) m/s2 . What is the charge of the particle?
a. 4.8 C
b. 4.0 C
c. 4.0 C
d. 4.8 C
e. 5.0 C
[Ques. 2] An electron moving in the positive x direction experiences a magnetic force in the positive z direction. If Bx = 0, what is the direction of the magnetic field?
a. negative y direction
b. positive y direction
c. negative z direction
d. positive z direction
e. negative x direction
[Ques. 3] A particle (q = 4.0 C, m = 5.0 mg) moves in a uniform magnetic field with a velocity having a magnitude of 2.0 km/s and a direction that is 50 away from that of the magnetic field. The particle is observed to have an acceleration with a magnitude of 5.8 m/s2 . What is the magnitude of the magnetic field?
a. 5.3 mT
b. 4.9 mT
c. 5.1 mT
d. 4.7 mT
e. 3.6 mT
[Ques. 4] A particle (q = 5.0 nC, m = 3.0 g) moves in a region where the magnetic field has components Bx = 2.0 mT, By = 3.0 mT, and Bz = 4.0 mT. At an instant when the speed of the particle is 5.0 km/s and the direction of its velocity is 120 relative to the magnetic field, what is the magnitude of the acceleration of the particle?
a. 33 m/s2
b. 17 m/s2
c. 39 m/s2
d. 25 m/s2
e. 45 m/s2
[Ques. 5] An electron has a velocity of 6.0 106 m/s in the positive x direction at a point where the magnetic field has the components Bx = 3.0 T, By = 1.5 T, and Bz = 2.0 T. What is the magnitude of the acceleration of the electron at this point?
a. 2.1 1018 m/s2
b. 1.6 1018 m/s2
c. 2.6 1018 m/s2
d. 3.2 1018 m/s2
e. 3.7 1018 m/s2
[Ques. 6] A battery has an internal resistance of 4.0 . Which of the following load resistors would have the most power delivered to it when connected across the battery?
a. 1.4
b. 2.0
c. 4.0
d. 8.0
e. 16
[Ques. 7] An initially uncharged 10-F capacitor is charged by a 10-V battery through a resistance R. The capacitor reaches a potential difference of 4 V in a period of 3 s after the charging began. Find the value of R.
[Ques. 8] A 5000- resistor and a 50-F capacitor are connected in series at t = 0 with a 6-V battery. The capacitor is initially uncharged. What is the current in the circuit at t = 0? At t = 0.5 s? What is the maximum charge stored on the capacitor?
[Ques. 9] What is the maximum number of 100-W lightbulbs you can connect in parallel in a 120-V home circuit without tripping the 20-A circuit breaker?
[Ques. 10] The battery is disconnected from a series RC circuit after the capacitor is fully charged and is replaced by an open switch. When the switch is closed,
a. the current through the resistor is always greater than the current through the capacitor.
b. the current through the resistor is always less than the current through the capacitor.
c. the current through the resistor is always equal to the current through the capacitor.
d. the capacitor does not allow current to pass.
e. the current stops in the resistor.
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