Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 31, Problem 3PQ
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The reaction of the ball at the three different locations.
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A uniform electric field of magnitude E = 36 N/C points along the x-axis. A circular loop of radius R = 21 cm is centered at the origin with the normal to the loop pointing θ = 35 degrees above the x-axis.
a.) Calculate the electric flux in units of N⋅m2/C that passes through the loop.
b.) To what angle in degrees relative to the x-axis should the normal of the loop be rotated so that the flux through the loop becomes Φ' = 0.41 N⋅m2/C?
A thread is tied to a 2.50-gram pith ball and attached to the ceiling at a location of a uniform electric field with an intensity of 5.00x102 N/C. The pith ball experiences a force which causes it to deflect from an otherwise vertical alignment by an angle of 12.6° from the vertical. Use a free-body diagram and electrostatic principles to perform the following calculations.a. Determine the force of gravity acting upon the pith ball.b. Determine the vertical component of the tension force of the thread.c. Determine the horizontal component of the tension force of the thread.d. Determine the quantity of charge on the pith ball.e. What type of charge - positive or negative - does the pith ball possess?
An electron in a television tube moves with a speed of 6.10 ✕ 107 m/s, in a direction perpendicular to the Earth's field, which has a strength of 5.00 ✕ 10−5 T.
a. What strength electric field (in kilovolts per meter) must be applied perpendicular to the Earth's field to make the electron move in a straight line?
b. If this is done between plates separated by 1.05 cm, what is the voltage applied (in volts)? (Note that TVs are usually surrounded by a ferromagnetic material to shield against external magnetic fields and avoid the need for such a correction.)
Chapter 31 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 31.1 - CASE STUDY Measuring the Magnetic Field Near a Bar...Ch. 31.2 - Prob. 31.2CECh. 31.3 - Prob. 31.3CECh. 31.4 - Magnetic Field Due to a Long, Straight Wire In a...Ch. 31.5 - Prob. 31.5CECh. 31 - Review Suppose you want to use a small, positively...Ch. 31 - Prob. 3PQCh. 31 - Prob. 5PQCh. 31 - Plot the deflection angle of the compass needle in...Ch. 31 - Prob. 7PQ
Ch. 31 - Prob. 8PQCh. 31 - Prob. 9PQCh. 31 - What is the Earths magnetic flux through a. a...Ch. 31 - Prob. 11PQCh. 31 - Prob. 12PQCh. 31 - Figure P31.13 shows a uniform magnetic field. a....Ch. 31 - Prob. 14PQCh. 31 - Figure P31.13 shows a uniform magnetic field. a....Ch. 31 - Prob. 16PQCh. 31 - Prob. 17PQCh. 31 - Prob. 18PQCh. 31 - Prob. 19PQCh. 31 - Prob. 20PQCh. 31 - Prob. 21PQCh. 31 - Prob. 22PQCh. 31 - A steady current I flows through a wire of radius...Ch. 31 - Prob. 24PQCh. 31 - A magnetic field of 4.00 T is measured at a...Ch. 31 - Prob. 27PQCh. 31 - Sketch a plot of the magnitude of the magnetic...Ch. 31 - Prob. 29PQCh. 31 - Prob. 31PQCh. 31 - Prob. 32PQCh. 31 - Prob. 33PQCh. 31 - Prob. 34PQCh. 31 - Prob. 35PQCh. 31 - Prob. 36PQCh. 31 - Prob. 37PQCh. 31 - Prob. 38PQCh. 31 - Prob. 39PQCh. 31 - Prob. 40PQCh. 31 - Prob. 41PQCh. 31 - Prob. 42PQCh. 31 - Prob. 43PQCh. 31 - Prob. 44PQCh. 31 - Prob. 45PQCh. 31 - Prob. 46PQCh. 31 - Prob. 47PQCh. 31 - Prob. 48PQCh. 31 - Prob. 49PQCh. 31 - Prob. 50PQCh. 31 - Prob. 51PQCh. 31 - Prob. 52PQCh. 31 - Prob. 53PQCh. 31 - Prob. 54PQCh. 31 - Prob. 55PQCh. 31 - Prob. 58PQCh. 31 - A uniform magnetic field B=5.44104iT passes...Ch. 31 - Prob. 60PQCh. 31 - A solenoid 1.25 m long with a current of 5.00 A in...Ch. 31 - Prob. 63PQCh. 31 - Prob. 64PQCh. 31 - Prob. 65PQCh. 31 - Prob. 66PQCh. 31 - Prob. 67PQCh. 31 - Prob. 68PQCh. 31 - Prob. 69PQCh. 31 - Prob. 70PQCh. 31 - Prob. 71PQCh. 31 - Prob. 72PQCh. 31 - Prob. 74PQCh. 31 - Prob. 75PQ
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- Review Suppose you want to use a small, positively charged ball suspended by a light thread to map out the electric field in the space around a charged source. Describe the reaction of the ball as you place it at the two locations in front of the infinitely large, positively charged sheet shown in Figure P31.2A. Be sure to relate your description to what you know about the sheets electric field.arrow_forwardA We saw in Figure 23.16 that a neutral metal can was attracted to a positively charged glass rod because the rod polarized the can. Lets model this situation in a very rough sense. Suppose a charged sphere C is held near two other charged spheres A and B as shown in Figure P23.62. Lets call the magnitude of the electrostatic force exerted by sphere C on A FA and that on B FB. Derive an expression for the ratio FA/FB. Comment on why a neutral conductor is attracted to a charged object. Figure P23.62arrow_forwardA Find an expression for the position y (along the positive axis perpendicular to the ring and passing through its center) where the electric field due to a charged ring is a maximum. Also find an expression for the electric field at that point.arrow_forward
- A When we find the electric field due to a continuous charge distribution, we imagine slicing that source up into small pieces, finding the electric field produced by the pieces, and then integrating to find the electric field. Lets see what happens if we break a finite rod up into a small number of finite particles. Figure P24.77 shows a rod of length 2 carrying a uniform charge Q modeled as two particles of charge Q/2. The particles are at the ends of the rod. Find an expression for the electric field at point A located a distance above the midpoint of the rod using each of two methods: a. modeling the rod with just two particles and b. using the exact expression E=kQy12+y2 c. Compare your results to the exact expression for the rod by finding the ratio of the approximate expression to the exact expression. FIGURE P24.77 Problems 77 and 78.arrow_forwardThree particles with charges of 1.0 C, 1.0 C, and 0.50 C are placed at the corners A, B, and C of an equilateral triangle with side length 0.10 m as shown in Figure P23.72. Find the net force on the charge at point C.arrow_forwardOne end of a light spring with force constant k = 125 N/m is attached to a wall, and the other end to a metal block with charge qA = 2.00 C on a horizontal, frictionless table (Fig. P23.34). A second block with charge qB = 3.60 C is brought close to the first block. The spring stretches as the blocks attract each other so that at equilibrium, the blocks are separated by a distance d = 12.0 cm. What is the displacement x of the spring? Figure P23.34arrow_forward
- An electron is in a uniform upward-pointing electric field. a. If the electron experiences a downward acceleration of 9.81 m/s2, what is the magnitude of the electric field? (Ignore gravity.) b. What is the gravitational force on this electron? Is it okay to ignore gravity? Explain.arrow_forwardGiven the arrangement of charged particles in Figure P23.38, find the net electrostatic force on the 10.33-C charged particle.arrow_forward(a) What voltage will accelerate electrons to a speed of 6.00107 m/s? (b) Find the radius of curvature of the path of a proton accelerated through this potential in a 0.500-T field and compare this with tire radius of curvature of an electron accelerated through the same potential.arrow_forward
- A very long, thin wire fixed along the x axis has a linear charge density of 3.2 C/m. a. Determine the electric field at point P a distance of 0.50 m from the wire. b. If there is a test charge q0 = 12.0 C at point P, what is the magnitude of the net force on this charge? In which direction will the test charge accelerate?arrow_forwardA small positively charged plastic ball of mass m and charge q is suspended by a massless string of length L in a uniform electrical field E as shown in the attached image. The ball is in equilibrium when the string makes an angle of θ with the vertical. Note that the ball is under the influence of both the electric field E and the earth's gravitational force g. a. Write an equation for the horizontal electrical force acting on the ball in terms of the relevant variables provided above b. Write an equation for the tension T in the string, using any or all of the relevant variables provided above and/or any relevant constants (g, G, k). Include a sentence explaining the reasoning behind your equation (there are two possible ways to set up this equation).arrow_forwardf an electron at a particular distance from a charged particle is attracted with a given force, what happens to that force if the distance is halved?. Explain using equations.arrow_forward
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