Part A = u = sqrt((2 * V * q) / m)

Part B = m/q = (R * B_{0})^2 / 2V

J. J. Thomson is best known for his discoveries about the nature of cathode rays. Another important contribution of his was the invention, together with one of his students, of the mass spectrometer. The ratio of mass m to (positive) charge q of an ion may be accurately determined in a mass spectrometer. In essence, the spectrometer consists of two regions: one that accelerates the ion through a potential V and a second that measures its radius of curvature in a perpendicular magnetic field. The ion begins at potential V and is accelerated toward zero potential. When the particle exits the region with the electric field it will have obtained a speed u.

With what speed u does the ion exit the acceleration region?

After being accelerated, the particle enters a uniform magnetic field of strength B_{0} and travels in a circle of radius R (determined by observing where it hits on a screen–as shown in the figure). The results of this experiment allow one to find m/q in terms of the experimentally measured quantities such as the particle radius, the magnetic field, and the applied voltage. What is m/q?

Two stationary positive point charges, charge 1 of magnitude 4.00 nC and charge 2 of magnitude 1.95 nC, are separated by a distance of 57.0 cm. An electron is released from rest at the point midway between the two charges, and it moves along the line connecting the two charges.

What is the speed v(final) of the electron when it is 10.0 cm from charge 1?

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Part A = Option D

Part B = Field lines cannot cross each other, The field lines should be parallel because of the sheet’s symmetry

Part C = Option B

Part D = The field lines should be smooth curve, The field lines should always end on negative charges or at infinity

Part E = Q_{A} = +7q, Q_{B} = -3q

Electric field lines are a tool used to visualize electric fields. A field line is drawn beginning at a positive charge and ending at a negative charge …

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Consider two point charges located on the x axis: one charge, q1 = -11.5 nC, is located at x1 = -1.685 m; the second charge, q2 = 40.0 nC, is at the origin (x = 0.0000).

What is the net force exerted by these two charges on a third charge q3 = 47.0 nC placed between q1 and q2 at x = -1.120 m?

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Part A = the net number is zero

What can you say about the net number of electric field lines passing through a Gaussian surface located completely within the region between a set of oppositely charged parallel plates?

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Part A = zero

In electrostatic equilibrium, is the electric field just below the surface of a charged conductor the same value as the field just above the surface, zero, dependent on the amount of charge on the conductor, or given by kq/R^{2}?