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Determine the total capacitance if a 30  pF  capacitor is connected in series with a 0.03 μF capacitor.     Capacitance =


Khadija becomes positively charged when she touches the metal sphere of a Van der Graaf generator. Why does this happen?


Three capacitors are connected in series: C1 = 28 μF, C 2 = 42 μF and C3 = 64 μF. What is the total capacitance?


A uniform piece of wire has a diameter of 0.30 mm and length 2.25 m has a resistance of 28 Ω. Find the resistivity of the wire. 


The following equations give the position x(t) of a particle in four situations (in each equation, x is in meters, t is in seconds, and t > 0): (1) x = 3t - 2;(2) x =-4t2 - 2; (3)x = 2/t2;and (4) x =-2.(a) In which situation is the velocity v of the particle constant? (b) In which is v in the negative x direction?


2. A car travels 22 km south, 12 km west, and 14 km north in half an hour. (See the figure below)

a) What is the average speed of the car?

b) What is the final displacement of the car?

c) What is the average velocity of the car?


Figure 2 below show cross section of two long straight wire separated by distance 0.5 m. Wire 2 carries current 2.0 A directed into the page. Determine the magnitude and direction (into or out of the page) of the current in wire 1 if the resultant of the magnetic field due to the two wire is zero at point Q located 0.8m from wire 2. Sketch diagram to prove your answer.

The magnetic field strength at the center of a circular coil with N turns is B. If the number of turns is double but the current and radius are each half, the magnetic field strength at the center would be 


an electron enterd uniform field that is directed downward and has a magnitude of 5 N/C. (a.)find the magnitude and direction of the force experienced by the electron (b.) find also its acceleration


Show that if a generalized coordinate is cyclic then corresponding component of a generalized momenta is a constant of motion.