College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 20, Problem 5TP
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4.) The diagram shows the electric field lines of a positively charged conducting sphere of
radius R and charge Q.
A
B
Points A and B are located on the same field line.
A proton is placed at A and released from rest. The magnitude of the work done by the electric field in
moving the proton from A to B is 1.7×10-16 J. Point A is at a distance of 5.0×10-2m from the centre of
the sphere. Point B is at a distance of 1.0×10-1 m from the centre of the sphere.
(a) Explain why the electric potential decreases from A to B. [2]
(b) Draw, on the axes, the variation of electric potential V with distance r from the centre of the
sphere.
R
[2]
(c(i)) Calculate the electric potential difference between points A and B. [1]
(c(ii)) Determine the charge Q of the sphere. [2]
(d) The concept of potential is also used in the context of gravitational fields. Suggest why scientists
developed a common terminology to describe different types of fields. [1]
3.) The graph shows how current I varies with potential difference V across a component X.
904
80-
70-
60-
50-
I/MA
40-
30-
20-
10-
0+
0
0.5
1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0
VIV
Component X and a cell of negligible internal resistance are placed in a circuit.
A variable resistor R is connected in series with component X. The ammeter reads 20mA.
4.0V
4.0V
Component X and the cell are now placed in a potential divider circuit.
(a) Outline why component X is considered non-ohmic. [1]
(b(i)) Determine the resistance of the variable resistor. [3]
(b(ii)) Calculate the power dissipated in the circuit. [1]
(c(i)) State the range of current that the ammeter can measure as the slider S of the potential divider
is moved from Q to P. [1]
(c(ii)) Describe, by reference to your answer for (c)(i), the advantage of the potential divider
arrangement over the arrangement in (b).
1.) Two long parallel current-carrying wires P and Q are separated by 0.10 m. The current in wire P is 5.0 A.
The magnetic force on a length of 0.50 m of wire P due to the current in wire Q is 2.0 × 10-s N.
(a) State and explain the magnitude of the force on a length of 0.50 m of wire Q due to the current in P. [2]
(b) Calculate the current in wire Q. [2]
(c) Another current-carrying wire R is placed parallel to wires P and Q and halfway between them as shown.
wire P
wire R
wire Q
0.05 m
0.05 m
The net magnetic force on wire Q is now zero.
(c.i) State the direction of the current in R, relative to the current in P.[1]
(c.ii) Deduce the current in R. [2]
Chapter 20 Solutions
College Physics
Ch. 20 - Can a wire carry a current and still be...Ch. 20 - Car batteries are rated in ampere-hours (A h )....Ch. 20 - If two different wires having identical...Ch. 20 - Why are two conducting paths from a voltage source...Ch. 20 - In cars, one battery terminal is connected to the...Ch. 20 - Why isn't a bird sitting on a high-voltage power...Ch. 20 - The IR drop across a resistor means that there is...Ch. 20 - How is the I R drop in a resistor similar to the...Ch. 20 - In which of the three semiconducting materials...Ch. 20 - Prob. 10CQ
Ch. 20 - If aluminum and copper wires of the same length...Ch. 20 - Explain why R=R0(1 + a?T) for the temperature...Ch. 20 - Why do incandescent lightbulbs grow dim late in...Ch. 20 - The power dissipated in a resistor is given by P =...Ch. 20 - Give an example of a use of AC power other than in...Ch. 20 - Why do voltage, current, and power go through zero...Ch. 20 - You are riding in a train, gazing into the...Ch. 20 - Using an ohmmeter, a student measures the...Ch. 20 - What are the two major hazards of electricity?Ch. 20 - Why isn’t a short circuit a shock hazard?Ch. 20 - What determines the severity of a shock? Can you...Ch. 20 - An electrified needle is used to burn off warts,...Ch. 20 - Some surgery is performed with high-voltage...Ch. 20 - Some devices often used in bathrooms, such as...Ch. 20 - We are often advised to not flick electric...Ch. 20 - Before working on a power transmission line,...Ch. 20 - Why is the resistance of wet skin so much smaller...Ch. 20 - Could a person on intravenous infusion (an IV) be...Ch. 20 - In view of the small currents that cause shock...Ch. 20 - Prob. 30CQCh. 20 - Define depolarization, repolarization, and the...Ch. 20 - Explain the properties of myelinated nerves in...Ch. 20 - What is the current in milliamperes produced by...Ch. 20 - A total of 600 C of charge passes through a...Ch. 20 - What is the current when a typical static charge...Ch. 20 - Find the current when 2.00 nC jumps between your...Ch. 20 - A large lightning bolt had a 20,000-A current and...Ch. 20 - The 200-A current through a spark plug moves 0.300...Ch. 20 - Prob. 7PECh. 20 - During open-heart surgery, a defibrillator can be...Ch. 20 - (a) A defibrillator passes 12.0 A of current...Ch. 20 - A clock battery wears out after moving 10,000 C of...Ch. 20 - The batteries of a submerged non-nuclear submarine...Ch. 20 - Electron guns are used in X-ray tubes. The...Ch. 20 - A large cyclotron directs a beam of He ++ nuclei...Ch. 20 - Repeat the above example on Example 20.3, but for...Ch. 20 - Using the results of the above example on Example...Ch. 20 - A 14-gauge copper wire has a diameter of 1.628 mm....Ch. 20 - Prob. 17PECh. 20 - What current flows through the bulb of a 3.00-V...Ch. 20 - Calculate the effective resistance of a pocket...Ch. 20 - What is the effective resistance of a car’s...Ch. 20 - How many volts are supplied to operate an...Ch. 20 - (a) F ind the voltage drop in an extension cord...Ch. 20 - A power transmission line is hung from metal...Ch. 20 - What is the resistance of a 20.0-m-long piece of...Ch. 20 - The diameter of 0-gauge copper wire is 8.252 mm....Ch. 20 - If the 0.100-mm diameter tungsten filament in a...Ch. 20 - Find the ratio of the diameter of aluminum to...Ch. 20 - What current flows through a 2.54-cm-diameter rod...Ch. 20 - (a) To what temperature must you raise a copper...Ch. 20 - A resistor made of Nichrome wire is used in an...Ch. 20 - Of what material is a resistor made if its...Ch. 20 - An electronic device designed to operate at any...Ch. 20 - a) Of what material is a wire made, if it is 25.0...Ch. 20 - Assuming a constant temperature coefficient of...Ch. 20 - A wire is drawn through a die, stretching it to...Ch. 20 - A copper wire has a resistance of 0.500at 20.0°C,...Ch. 20 - (a) Digital medical thermometers determine...Ch. 20 - Integrated Concepts (a) Redo Exercise 20.25 taking...Ch. 20 - Unreasonable Results (a) To what temperature must...Ch. 20 - What is the power of a 1.00 102 MV lightning boit...Ch. 20 - What power is supplied to the starter motor of a...Ch. 20 - Prob. 42PECh. 20 - How many watts does a flashlight that has 6.00102C...Ch. 20 - Find the power dissipated in each of these...Ch. 20 - Verify that the units of a volt-ampere are watts,...Ch. 20 - Show that the units 1 V2/=1W , as implied by the...Ch. 20 - Show that the units 1 A 2 = 1W, as implied by the...Ch. 20 - Verify the energy unit equivalence that 1 kWh =...Ch. 20 - Electrons in an X-ray tube are accelerated through...Ch. 20 - Prob. 50PECh. 20 - With a 1200-W toaster, how much electrical energy...Ch. 20 - What would be the maximum cost of a CFL such that...Ch. 20 - Some makes of older cars have 6.00-V electrical...Ch. 20 - Alkaline batteries have the advantage of putting...Ch. 20 - A cauterizer, used to stop bleeding in surgery,...Ch. 20 - The average television is said to be on 6 hours...Ch. 20 - An old lightbulb draws only 50.0 W, rather than...Ch. 20 - -gauge copper wire has a diameter of 9.266 mm....Ch. 20 - Prob. 59PECh. 20 - Integrated Concepts (a) What energy is dissipated...Ch. 20 - Integrated Concepts What current must be produced...Ch. 20 - Integrated Concepts How much time is needed for a...Ch. 20 - Prob. 63PECh. 20 - Prob. 64PECh. 20 - Integrated Concepts A light-rail commuter train...Ch. 20 - Integrated Concepts (a) An aluminum power...Ch. 20 - Integrated Concepts (a) An immersion heater...Ch. 20 - Integrated Concepts (a) What is the cost of...Ch. 20 - Unreasonable Results (a) What current is needed to...Ch. 20 - Unreasonable Results (a) What current is needed to...Ch. 20 - Construct Your Own Problem Consider an electric...Ch. 20 - (a) What is the hot resistance of a 25-W light...Ch. 20 - Certain heavy industrial equipment uses AC power...Ch. 20 - A certain circuit breaker trips when the rms...Ch. 20 - Military aircraft use 400-Hz AC power, because it...Ch. 20 - A North American tourist takes his 25.0-W, 120-V...Ch. 20 - In this problem, you will verify statements made...Ch. 20 - A small office-building air conditioner operates...Ch. 20 - What is the peak power consumption of a 12G-V AC...Ch. 20 - What is the peak current through a 500-W room...Ch. 20 - Two different electrical devices have the same...Ch. 20 - Nichrome wire is used in some radiative heaters....Ch. 20 - Find the time after t = 0 when the instantaneous...Ch. 20 - (a) At what two times in the first period...Ch. 20 - (a) Haw much power is dissipated in a short...Ch. 20 - What voltage is involved in a 1.44-kW short...Ch. 20 - Find the current through a person and identify the...Ch. 20 - While taking a bath, a person touches the metal...Ch. 20 - Foolishly trying to fish a burning piece of bread...Ch. 20 - (a) During surgery, a current as small as 20.0 ?...Ch. 20 - (a) What is the resistance of a 220-V AC short...Ch. 20 - A heart defibrillator passes 10.0 A through a...Ch. 20 - Integrated Concepts A short circuit in a 120-V...Ch. 20 - Construct Your Own Problem Consider a person...Ch. 20 - Prob. 95PECh. 20 - Prob. 96PECh. 20 - Prob. 1TPCh. 20 - Prob. 2TPCh. 20 - Prob. 3TPCh. 20 - Prob. 4TPCh. 20 - Prob. 5TPCh. 20 - Prob. 6TPCh. 20 - Prob. 7TPCh. 20 - Prob. 8TPCh. 20 - Prob. 9TPCh. 20 - Prob. 10TPCh. 20 - Prob. 11TPCh. 20 - Prob. 12TPCh. 20 - Prob. 13TPCh. 20 - Prob. 14TPCh. 20 - Prob. 15TP
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