A particle (m = 26 mg, q = %3D 5.0 µC) moves in a uniform electric field of 60 kN/C in the positive x-direction. At t = 0, %3D the particle is moving 30 m/s in the positive x-direction and is passing through the origin. Determine the maximum distance beyond x = 0 the particle travels in the positive x-direction.
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- Bacteria can be identified by using a time-of-flight mass spectrometer to measure their chemical composition. First, a very short laser pulse vaporizes and ionizes a bacterial sample. The positive ions are accelerated, in vacuum, through a -15 kV potential difference, and then they travel at constant speed through a 1.5-m-long drift tube to a detector that records their arrival times. An ion's time of flight depends on its mass, so a record of the arrival times can be used to determine the masses of the biomolecules that were released from the bacteria. Each type of bacteria has a unique set of proteins with different masses, so the mass spectrum is a fingerprint for identifying bacteria. Part A What is the mass in kDa of an ionized protein that is detected 51 us after the laser pulse? You can assume that the protein is singly ionized (g = +e) which is mostly true in practice. You can also neglect the time needed to accelerate through the potential difference because it is very small…R1 S R3. R2 4. Determine in the current in each resistor given that R1 = R2 = R3 = 12, the capacitance C = 0.5 µF, and potential across the batter of E = 2V when the switch is closed at t = 0. Determine then after some time (t = x) after the switch is closed the currents in each resistor.Problem #2: Maxwell's Equations. Consider the RC circuit shown. It consists of: an ideal 18 V battery, E a 30 resistor, and a 15 mF capacitor. R The capacitor consists of two circular plates separated by a small distance. Each plate has radius R € 0.46 m. The capacitor is initially uncharged. GH = At time t = 0, the switch is closed. с 3. How fast is the electric flux between the capacitor plates changing at the instant the switch is closed? S 4. When the current through the resistor is 0.40 A, what is the magnetic field at point H, a distance of 0.35 m from the center of the capacitor?
- For the circuit in the figure, at t = 0 the switch S is closed with the capacitor uncharged. If C = 52 µF, & = 80V, and R = 4 k2, what is the charge (in m) on the capacitor when the current in the circuit is I = 2.5 mA? S R Select one: OA 5.56 O B. 2.55 OC.4.13 OD. 4.68 OE. 3.64For the circuit in the figure, at t = 0 the switch S is closed with the capacitor uncharged. If C = 55 µF, ɛ = 80V, and R = 4 kN, what is the charge (in mC) on the capacitor when the current in the circuit is = 3.5 mA? S R + Select one: O A. 5.67 ОВ. 4.15 OC. 5.17 O D. 3.63 E. 2.481. A 11.8 ?F capacitor is charged by a 25.0 V battery through a resistance R. The capacitor reaches a potential difference of 4.00 V at a time 3.00 s after charging begins. Find R. ________ kΩ 2.A proton moves perpendicular to a uniform magnetic field at a speed of 1.20 107 m/s and experiences an acceleration of 1.40 1013 m/s2 in the positive x-direction when its velocity is in the positive z-direction. Determine the magnitude and direction of the field. magnitude _______ PLEASE ANSWER BOTH
- A cyclotron is used to produce a beam of high-energy deuterons that then collide with a target to produce radioactive isotopes for a medical procedure. Deuterons are nuclei of deuterium, an isotope of hydrogen, consisting of one neutron and one proton, with total mass 3.34 x 10-27 kg. The deuterons exit the cyclotron with a kinetic energy of 5.00 MeV.a. What is the speed of the deuterons when they exit?b. If the magnetic field inside the cyclotron is 1.25 T, what is the diameter of the deuterons’ largest orbit, just before they exit?c. If the beam current is 400 μA, how many deuterons strike the target each second?7. a C R₂ Given E=12V, R₁-1002, R₂ = 1502 and C=1uF. a) The switch S has been on position a for a long period of time. Find the charge of the capacitor. b) Find the current through the ammeter 9.50 µs after S is thrown from position a to position b. c) After S is thrown from a to b, at what time, in us, does the charge on C become equal to 2.00 uC20 2 30 12 Q1/ Obtain the y parameters for the network shown. 202 0ww 302 wwo 40 2
- Q4: Show detailed work and pay attention to the units. There are two different ways to calculate the potential difference across the bar, using the motional EMF expression or Faraday's Law. Show that both methods give the same answer. Use the right hand rule to figure out which end of the bar (A or B) will be at a higher potential due to the motion of the conductor in the field.Two cells having unknown e.m.fs. E₁ and E₂ (E₁ > E₂) are connected in potentiometer circuit so as to assist each other. The null point is obtained at 8.125 m from the highest potential end. When the cell E₂ is connected so as to oppose cell E₁, null point is obtained at 1.25 m from same end. Compare e.m.fs. of two cells.A 1·21-MF Capacitor is connected to a North American electrical outlet. (Avrms = 120V, f = 60·0Hz). Assuming energy stored in the Capacitor is Zero at + = 0, determine the magnitude & the current in the wires at t = 192 Note 3 Answer must be in A. S the