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9) Lorentz Force and the Cyclotron Frequency: (15 pts) A point charge q has an...
10) Mass Spectrometer: (14 pts) A charged nucleus of mass m and charge q is accelerated...
10) Mass Spectrometer: (14 pts) A charged nucleus of mass m
and charge q is accelerated through a constant potential V and
enters a region of constant magnetic field B. The nucleus then
undergoes circular motion before hitting a detector.
10) Mass Spectrometer: (14 pts) A charged nucleus of mass m and charge q is accelerated through a constant potential V and enters a region of constant magnetic field B. The nucleus then undergoes circular motion before hitting a detector....
Compute the following Derivations: 1)Derive the cyclotron frequency of a point charge moving perpendicular to a...
Compute the following Derivations: 1)Derive the cyclotron frequency of a point charge moving perpendicular to a constant magnetic field 2)Derive an expression for the charge on the capacitor as a function of time when a capacitor is being charged in an RC circuit 3)Derive an expression for the current as a function of time when a capacitor is being discharged through a resistor
(1) Cyclotron radiation Free electrons and protons will gyrate, or circle, around magnetic field lines at a frequency fgy equal to JEyrO2T m where B is the magnetic field. q is the charge of the p...
(1) Cyclotron radiation Free electrons and protons will gyrate, or circle, around magnetic field lines at a frequency fgy equal to JEyrO2T m where B is the magnetic field. q is the charge of the particle, and m is the mass of the particle. Jgyro is call the gyro frequency, and is also called the cyclotron frequency. As we discussed in class, charges which change their velocity will create electromagnetic waves If they change their velocity in a repeating pattern...
Page 2 Ex2.(15 pts) Find the direction of the Lorentz force acting on an electron moving...
Page 2 Ex2.(15 pts) Find the direction of the Lorentz force acting on an electron moving with a velocity v through an external B field oriented as indicated below. ero tho intorface is a power sunnly (an
5. An electron carrying charge -9 (where q=1.602e-19 C) is moving along the x axis in...
5. An electron carrying charge -9 (where q=1.602e-19 C) is moving along the x axis in the +x direction with a velocity ū(x, y, z) = 5 x 107 cm/s. a. We want to make the electron to curve to the right and eventually go in a circle clockwise in the xy plane by applying a magnetic field. To achieve that, the magnetic field should exert a force on the electron that is perpendicular to its direction of motion. Which...
True or False, no explanation needed. ( ) A charge with a velocity perpendicular to a...
True or False, no explanation needed. ( ) A charge with a velocity perpendicular to a uniform B field will move in a circular path in a plane perpendicular to the B field. ( ) A charge with a velocity perpendicular to a uniform B field will experience a magnetic force of F=qvB ( ) For a mass m to maintain a circular motion on an orbit of radius r, the needed centripetal force is mv/r. ( ) For a...
A positive charge q moves along the positive x-axis in a region of space where a...
A positive charge q moves along the positive x-axis in a region of space where a magnetic field points along the negative z-axis and an electric field points 19° below the negative x-axis (in the xy-plane) a. Draw a free body diagram indicating all forces acting on the particle. (Neglect gravity) b. What is the magnitude of the Lorentz force on the particle? c. What is the direction of the Lorentz force? Give your answer in degrees and indicate which...
A positive charge q moves along the positive x-axis in a region of space where a...
A positive charge q moves along the positive x-axis in a region of space where a magnetic field points along the negative :- axis and an electric field points 19° below the negative x-axis (in the xy-plane) a. Draw a free body diagram indicating all forces acting on the particle. (Neglect gravity) b. What is the magnitude of the Lorentz force on the particle? c. What is the direction of the Lorentz force? Give your answer in degrees and indicate...
Help me solve this question asap a) Write the expression for the force acting on an...
Help me solve this question asap
a) Write the expression for the force acting on an electron carrying a charge e moving with velocity v when it enters perpendicularly into (i) an electric field of intensity E b) Sketch two separate diagrams of the direction of field, velocity and path of ) With reference to your diagrams, state two differences between the electric (ii) a magnetic field of intensity B the electron and the force acting on it for the...
pls answer q 5-9 17. A cyclotron (Fig. 28.16) designed to accelerate protons has an outer...
pls
answer q 5-9
17. A cyclotron (Fig. 28.16) designed to accelerate protons has an outer radius of 0.350 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 600 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.800 T. (a) Find the cyclotron frequency for the pro- tons in this cyclotron. Find (b) the speed at...
10) Mass Spectrometer: (14 pts) A charged nucleus of mass m
and charge q is accelerated through a constant potential V and
enters a region of constant magnetic field B. The nucleus then
undergoes circular motion before hitting a detector.
10) Mass Spectrometer: (14 pts) A charged nucleus of mass m and charge q is accelerated through a constant potential V and enters a region of constant magnetic field B. The nucleus then undergoes circular motion before hitting a detector....
(1) Cyclotron radiation Free electrons and protons will gyrate, or circle, around magnetic field lines at a frequency fgy equal to JEyrO2T m where B is the magnetic field. q is the charge of the particle, and m is the mass of the particle. Jgyro is call the gyro frequency, and is also called the cyclotron frequency. As we discussed in class, charges which change their velocity will create electromagnetic waves If they change their velocity in a repeating pattern...
Page 2 Ex2.(15 pts) Find the direction of the Lorentz force acting on an electron moving with a velocity v through an external B field oriented as indicated below. ero tho intorface is a power sunnly (an
5. An electron carrying charge -9 (where q=1.602e-19 C) is moving along the x axis in the +x direction with a velocity ū(x, y, z) = 5 x 107 cm/s. a. We want to make the electron to curve to the right and eventually go in a circle clockwise in the xy plane by applying a magnetic field. To achieve that, the magnetic field should exert a force on the electron that is perpendicular to its direction of motion. Which...
A positive charge q moves along the positive x-axis in a region of space where a magnetic field points along the negative z-axis and an electric field points 19° below the negative x-axis (in the xy-plane) a. Draw a free body diagram indicating all forces acting on the particle. (Neglect gravity) b. What is the magnitude of the Lorentz force on the particle? c. What is the direction of the Lorentz force? Give your answer in degrees and indicate which...
A positive charge q moves along the positive x-axis in a region of space where a magnetic field points along the negative :- axis and an electric field points 19° below the negative x-axis (in the xy-plane) a. Draw a free body diagram indicating all forces acting on the particle. (Neglect gravity) b. What is the magnitude of the Lorentz force on the particle? c. What is the direction of the Lorentz force? Give your answer in degrees and indicate...
Help me solve this question asap
a) Write the expression for the force acting on an electron carrying a charge e moving with velocity v when it enters perpendicularly into (i) an electric field of intensity E b) Sketch two separate diagrams of the direction of field, velocity and path of ) With reference to your diagrams, state two differences between the electric (ii) a magnetic field of intensity B the electron and the force acting on it for the...
pls
answer q 5-9
17. A cyclotron (Fig. 28.16) designed to accelerate protons has an outer radius of 0.350 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 600 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.800 T. (a) Find the cyclotron frequency for the pro- tons in this cyclotron. Find (b) the speed at...
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