Motion of a charged particle: In the figure, a proton is projected horizontally midway between two parallel plates that are separated by 0.50 cm.  The electrical field due to the plates has magnitude 610,000 N/C between the plates away from the edges. If the plates are 5.60 cm long, find the minimum speed of the proton if it just misses the lower plate as it emerges from the field. (e = 1.60 × 10-19 C, 

Current density: A proton beam that carries a total current of 1.3 mA has 10.0 mm diameter. The current density in the proton beam increases linearly with distance from the center. This is expressed mathematically as J(r) = J0 (r/R), where R is the radius of the beam and J0 is the current density at the edge. Determine the value of J0.

Coulomb’s law: In the figure, all the charges are point charges and the charge in the middle is Q = -3.1 nC For what charge will charge  be in static equilibrium?

Resistivity: A cylindrical wire has a resistance R and resistivity

Internal battery resistance: What is the maximum current that can be drawn from a 1.50 V battery with an internal resistance of 0.30 ohm?

Resistivity: You are given a copper bar of dimensions 3 cm × 5 cm × 8 cm and asked to attach leads to it in order to make a resistor.(a) If you want to achieve the SMALLEST possible resistance, you should attach the leads to the opposite faces that measureA) 3 cm × 5 cm.B) 3 cm × 8 cm.C) 5 cm × 8 cm.D) Any pair of faces produces the same resistance.(b)  If you want to achieve the LARGEST possible resistance, you should attach the leads to the opposite faces that measureA) 3 cm × 5 cm.B) 3 cm × 8 cm.C) 5 cm × 8 cm.D) Any pair of faces produces the same resistance.

RC circuits: A  4.0 mF capacitor is discharged through a  4.0 k

Gauss’s law: The figure shows four Gaussian surfaces surrounding a distribution of charges(a) Which Gaussian surfaces have an electric flux of -q/

Power: A 110 V hair dryer is rated at 1200 W.  What current will it draw when operating from a 110 V electrical outlet?

Resistors in combination: A 5.0