5. A thin rod of length ( and uniform charge per unit length A lies along...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
5. A thin rod of length ( and uniform charge per unit length A lies along the x axis as shown in Figure P19.22. (a) Show that the electric field at P, a distance y from the rod along its perpendicular bisector, has nox component and is given by E = 2ked sin Ooly. (b) Using your result to part (a), show that the field of a rod of infinite length is E - 2kA/y. (Suggestion: First, calculate the ficld at P due to an element of length dx, which has a charge A dx. Then, change variables from x to 0, using the relationships x = y tan 0 and dx = y sec'o d0, and integrate over 0.) li mriw ign h won 8o le dx Figure P19.22 5. A thin rod of length ( and uniform charge per unit length A lies along the x axis as shown in Figure P19.22. (a) Show that the electric field at P, a distance y from the rod along its perpendicular bisector, has nox component and is given by E = 2ked sin Ooly. (b) Using your result to part (a), show that the field of a rod of infinite length is E - 2kA/y. (Suggestion: First, calculate the ficld at P due to an element of length dx, which has a charge A dx. Then, change variables from x to 0, using the relationships x = y tan 0 and dx = y sec'o d0, and integrate over 0.) li mriw ign h won 8o le dx Figure P19.22
Expert Answer:
Related Book For
Essential University Physics
ISBN: 978-0321976420
3rd Edition Volume 2
Authors: Richard Wolfsonby, Richard Wolfson
Posted Date:
Students also viewed these chemistry questions
-
Show that the field of an infinite, uniformly charged flat sheet is 2k,where is the surface charge density. (This result is independent of distance from the sheet.)
-
Show that the field E s = 20 sin (k x x) cos (k y y) a z where k 2 x + k 2 y = w 2 o o , can be represented as the superposition of four propagating plane waves. Find the corresponding H s .
-
Define profession. Do you believe that the field of human resource management is a profession? Explain your answer.
-
In Simpleland, there are only two risky assets in the market, A and B. The information and CAPM estimates of A and B are shown in the following table: A 100 Million 0.09 Market Capitalisation ($)...
-
A filling machine for a tea bag manufacturer produces approximately 170 tea bags per minute. The process manager monitors the weight of the tea placed in individual bags. A subgroup of n = 4 tea bags...
-
Which of the following is likely to indicate classification of a worker as an employee: a. The worker must provide their own tools and equipment. b. The worker can provide services at a location they...
-
When are the four forces in flight in equilibrium?
-
1. What marketing data would you want to have available to make the decision? 2. What cost data would you need to make a rational decision? 3. What are some of the logistics supply chain issues that...
-
Find the pressure exerted by a force of 72 Newtons on an area of 6 m 3 . Give your answer in N/m
-
Good Homes Construction Company is about to begin the construction of a large new home. The companys president, Michael Dean, is currently planning the schedule for this project. Michael has...
-
Select all that are correct. Suppose z-1 f(z) = %3D I+3' then 3z +1 (z) = I-1 3z +1 f(z) = 1-1 O f(f(=)) == %3D I+ 3 (z) = %3D - 1 O f(0) = -2
-
The peak current through a capacitor is \(10.0 \mathrm{~mA}\). What is the current if a. The emf frequency is doubled? b. The emf peak voltage is doubled (at the original frequency)? c. The frequency...
-
Although the evidence is weak, there has been concern in recent years over possible health effects from the magnetic fields generated by transmission lines. A typical high-voltage transmission line...
-
Charged particles orbit magnetic field lines in the space above Mars just as they do in the space above earth, but Mars's magnetic field is much weaker so the period of an orbit is much longer. One...
-
The voltage-to-current ratio in the primary coil of a transformer can be thought of as the transformer's effective resistance. A step-down transformer converts \(120 \mathrm{~V}\) at the primary to...
-
A cyclotron is used to produce a beam of high-energy deuterons that then collide with a target to produce radioactive\(\mathbb{N T}\) isotopes for a medical procedure. Deuterons are nuclei of...
-
Canara Bank sells a 1 4 FRA on April 1 with a principal amount of INR 5 million at an AR of 8%. The RR on the FRA is the MIBOR, and the cost of the loan is MIBOR + 100. On the settlement date, which...
-
10m solution. If Ka(HA) = 10 then pOH of solution will be [Given : log4=0.6] (A) 6.7 (B) Greater than 6.7 & less than 7.0 (C) Greater 7.0 & less than 7.3 (D) Greater than 7.3
-
A 65-Cpoint charge is at the origin. Find the electric field at the points (a) x =50 cm, y =0 cm; (b) x =50 cm, y =50 cm; (c) x =25 cm, y =-75 cm.
-
How many atoms are in a radioactive sample with activity 12 Bq and half-life 15 days?
-
Much of Europe uses AC power at 230 V rms and 50 Hz. Express this AC voltage in the form of Equation 28.3, taking v = 0. V, sin(ot + ov) and I 1, sin(@t + d;) (28.3)
-
A closed vessel having a volume of \(2.84 \mathrm{~m}^{3}\) contains \(1.365 \mathrm{~kg}\) of mixture of water and steam at a pressure of 7 bar. Find how much heat must be added to the vessel to...
-
In steam tables, the entropy is shown as zero for (a) saturated vapour at atmospheric pressure (b) saturated liquid at atmospheric pressure (c) saturated vapour at \(0^{\circ} \mathrm{C}\) (d)...
-
Water equivalent of calorimeter is given by (a) \(\frac{m_{c a l} \times c_{p c}}{c_{p w}}\) (b) \(\frac{m_{c a l}}{c_{p w}}\) (c) \(\frac{m_{c a l}}{c_{p c}}\) (d) \(\frac{m_{c a l} \times c_{p...
Study smarter with the SolutionInn App