1. In the circuit shown in Figure C = 15.0 F, C = 20.0 F, R...

  

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1. In the circuit shown in Figure C = 15.0 F, C = 20.0 F, R = 30.02, R Both capacitors are initially charged to V = 45.0 V. a) Calculate the equivalent capacitance and the equivalent resistance. b) Calculate the charge accumulated on each capacitor. = 50.0 . c) Calculate the time after closing the switch at which the potential across each capacitor will be reduced to V = 10.0 V. ' C R R 2. A charged particle is entering a squared region of space with a uniform magnetic field. The sides of the region are 6 m wide. The particle enters the region exactly in the middle of one of the sides in a direction perpendicular to it, as in the Figure below. The charge of the particle is q = 20.0 C, its mass is m = 6.0 10-16 kg, and the velocity of the particle is ||=5 105 m/s. How strong is the magnetic field so that the particle escapes such region in a direction perpendicular to the one it entered? See Figure for more details. XXX 3. A particle with a charge of q = -1.24 10-8 C is moving with instantaneous velocity 1.42 x 104 m/s i + 3.85 x 104 m/sj. What is the force exerted on this particle by a magnetic field 4. A circular area with a radius of 6.50 cm lies in the xy-plane. What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.230 T: a) in the +z-direction; b) at an angle of 53.1 from the +z-direction; c) in the +y-direction? 1. In the circuit shown in Figure C = 15.0 F, C = 20.0 F, R = 30.02, R Both capacitors are initially charged to V = 45.0 V. a) Calculate the equivalent capacitance and the equivalent resistance. b) Calculate the charge accumulated on each capacitor. = 50.0 . c) Calculate the time after closing the switch at which the potential across each capacitor will be reduced to V = 10.0 V. ' C R R 2. A charged particle is entering a squared region of space with a uniform magnetic field. The sides of the region are 6 m wide. The particle enters the region exactly in the middle of one of the sides in a direction perpendicular to it, as in the Figure below. The charge of the particle is q = 20.0 C, its mass is m = 6.0 10-16 kg, and the velocity of the particle is ||=5 105 m/s. How strong is the magnetic field so that the particle escapes such region in a direction perpendicular to the one it entered? See Figure for more details. XXX 3. A particle with a charge of q = -1.24 10-8 C is moving with instantaneous velocity 1.42 x 104 m/s i + 3.85 x 104 m/sj. What is the force exerted on this particle by a magnetic field 4. A circular area with a radius of 6.50 cm lies in the xy-plane. What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.230 T: a) in the +z-direction; b) at an angle of 53.1 from the +z-direction; c) in the +y-direction?