1) If the rectangular coordinates of a point are (x, 4 m) and its polar coordinates
are r, 25, find x and r.
2) The position of an object is (-25 inches, 13 inches). Find the magnitude and
direction of this position.
3) From its nest, a bird flies 60 mete
1)
(a) Point A is 1 cm from a proton and point B is 2 cm from the proton. Find the
voltage difference between points A and B. (b) Find the voltage difference if
the proton is replaced by an electron.
2)
Two charged particles with charges of +5 nC and 3nC
1)
The following charges are inside a shoe box: 5 C, 27 C, -9 C, and -84 C. (a)
Find the net electric flux through the shoe box. (b) Is the number of electric
field lines leaving the box equal to, less than, or greater than the number of lines
entering it
1)
What are the magnitude and direction of the electric field that will keep an
electron afloat near the Earths surface? What about for a proton?
2)
Consider the point charges at the corner of the equilateral triangle in Figure
1.3.2.
a)
b)
3)
Find the ne
1) (a) A 3-F capacitor is connected to a 12-V battery. How much energy is stored
in the capacitor? (b) Another 3-F capacitor is connected to a battery and the
capacitor stores half as much energy as the first one. What is the voltage
difference supplied b
1)
A thin, square piece of metal 50 cm on a side has a net charge of +0.4 nC
uniformly distributed. Find (a) the charge per area on the top face of the plate,
(b) the charge per area on the bottom face, (c) the electric field above the center
of the plate
1) A strong electromagnet produces a uniform field of 1.6 T over a cross-sectional
area of 0.2 m2. A coil with 200 turns and a resistance of 20 is placed around
the electromagnet. The current in the magnet is smoothly reduced to zero in 20
ms. Find the cu
1) Electrons in a cathode ray tube are accelerated from rest across 500 V of
potential difference. They then travel a distance of 10 cm where they hit a
screen at point O. This 10 cm of length is now filled with a uniform magnetic
field of 2 Gauss oriente
1) Two long, parallel conductors, separated by 10 cm, carry currents in the same
direction. The first wire carries a current of I1 =5 A and the second carries a
current of I2 =8 A. (a) What is the size of the magnetic field created by I1 at the
location o
1) A 1-M resistor is connected in series to a 5-F capacitor and a 30-V battery.
Find (a) the time constant of the circuit, (b) the maximum charge stored on the
capacitor, and (c) the current through the resistor ten seconds after the final
connection is m
1) A 12-V battery is connected to a coil. The coils resistance is 10 and its
inductance is 2 H. In what time interval will the current in the coil reach (a)
50% and (b) 90% of its final value?
2) A 140-mH inductor and a 4.9- resistor are connected with a
2A. (Parallel Plate Capacitor)
Consider a parallel plate capacitor whose plates each have an area of 2 cm2 and
which are separated by 1 mm. The capacitor is hooked up to a battery so that the
top plate is at 20 V and the bottom plate is at 5 V. The space
1) A driver travels northbound at 25 m/s. A police car, traveling southbound at 40
m/s, approaches with its siren emitting a frequency of 2500 Hz. (a) What
frequency does the driver hear the siren as the police car approaches? (b) What
frequency does the
1) A harmonic wave is traveling along a rope. The oscillator driving the wave
completes 1800 vibrations in 30 seconds. A wave crest travels 180 centimeters
in 10 milliseconds. What is the wavelength of the wave?
2) A wave is described by the function y =
1A. (Electric Force & Electric Field of Point Charges)
Three point charges are distributed in the xy-plane as follows:
q1 = - 2 C at (0,0) q2 = - 4 C at (2m,0)
q3 = + 3 C at (-1m,1m)
(a) Find the magnitude and direction of the net force acting on q1 due t
1C. (Electric Field of Continuous Charge Distribution)
Consider a charged thin rod. The rod is 10 cm long and has a net charge of -5 nC
uniformly distributed. You are to find the electric field at a point which lies outside
of the rod on the rod's long ax
4A. (Inductance and Inductors)
A dc battery is connected to a simple series RL circuit. The resistance is 50 . A
steady current is established in the circuit. The terminals of the battery are then
shorted together by a piece of metal such that the voltage
1
5B. (Sound)
A new group, The Screaming Physicists, is playing at a concert. A fan who is 5 m from the
speakers hears a bass frequency of 60 Hz at a level of 120 dB. (Ouch!) Assume that the speaker
is a perfect point source that emits sound uniformly in
3B. (Electric Motor & Magnetic Fields)
(a) An electric motor is to deliver 100 mW of average power when operating at
3000 rpm. The windings rotate in a magnetic field of 1 mT. Finish designing the
motor by specifying the number of windings, the area of th
3A. (Mass Spectrometer)
You are to finish designing a mass spectrometer to measure the mass of some
unknown atoms. A sketch of the spectrometer is shown below. The atoms are first
singly ionized by removing one electron from each atom. They are then
accel