(a) A filamentary loop carrying current I is bent to assume the shape of a regular polygon...
Question:
(a) A filamentary loop carrying current I is bent to assume the shape of a regular polygon of n sides. Show that at the center of the polygon where r is the radius of the circle circumscribed by the polygon.(b) Apply this to cases when n = 3 and n = 4 and see if your results agree with those for the triangular loop of Problem 7.8 and the square loop of Problem 7.10, respectively.(c) As n becomes large, show that the result of part (a) becomes that of the circular loop of Example7.3.
nl Н sin п 2ar
Step by Step Answer:
a Consider one side of the po...View the full answer
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Electrodynamics questions
-
A concrete foundation mat in the shape of a regular hexagon with 3-m sides supports four column loads as shown. Determine the magnitude and the point of application of the resultant of the four...
-
A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet. a. If one side of a gazebo is open, and the other sides have a railing, find the cost of the railing...
-
A single piece of wire carrying current I is bent so it includes a circular loop of radius a, as shown in Fig. 26.43. Find an expression for the magnetic field at the loop center. FIGURE 26.43...
-
Wealthy Manufacturing Company purchased 40 percent of the voting shares of Diversified Products Corporation on March 23, 20X4. On December 31, 20X8, Wealthy Manufacturings controller attempted to...
-
In Figure 3-7, what are the effects of a price increase from $2 per portable power bank to $4 per portable power bank on the quantities supplied by supplier 1 and by supplier 2 individually and...
-
Pulses A, B, C, and D all travel at 10 m>s on the same string but in opposite directions. The string is depicted at time t = 0 in FIGURE 14-46. The small pulses have an amplitude of 2.0 cm, and the...
-
Sweet Bayou Airlines (SBA) flight 494 departs daily from Shreveport for Nashville at 8:47 a.m. The manager of the SBA office in Shreveport must receive a file that combines to contents of the file...
-
You are the tax manager in a CPA office. One of your clients, Snapper Corporation, is also an audit client of the firm. The CFO of Snapper invites you and the audit manager for a one-week deep-sea...
-
Tampa by the Bay Cardiology practice is experiencing long wait times for new patient appointments. Next available appointment is 30 days. The administrator has asked the practice manager to construct...
-
If the Marifield Steel Fabrication Company earned $500,000 in net income and paid a cash dividend of $300,000 to its stockholders, what are the firms earnings per share if the firm has 100,000 shares...
-
A square conducting loop of side 2a lies in the z = 0 plane and carries a current I in the counterclockwise direction. Show that at the center of theloop V21 a.
-
For the filamentary loop shown in figure find the magnetic field strength at O. 10 A 4 cm 100 cm 10 A
-
Semiconductors (chips) are produced on wafers that contain 100 chips. The wafer yield is defined to be the proportion of these chips that are acceptable for use. One company has two different factory...
-
John owns stock in an S corporation. Johns share of the corporations loss for the year is $5,000. His adjusted basis in the corporation stock is $1,000. In addition, John has a loan outstanding to...
-
Edna was a one-third partner in Old Grad Partners until December 31, when her interest in the partnership was liquidated. Prior to the liquidation, her basis in her partnership interest was $45,000....
-
An S corporation has an accumulated adjustments account of $30,000 at the beginning of the year and accumulated earnings and profits of $10,000. The corporation earns $20,000 for the year. Melvin, a...
-
A shareholder purchased 20 percent of the stock of an S corporation three-quarters of the way through the year for $10,000. The S corporation incurred a net operating loss of $320,000. What is the...
-
Which of the following will not prevent a corporation from qualifying for the special tax rules under Subchapter S? a. The corporation has more than 100 shareholders. b. A nonresident alien owns...
-
Assume that we have an input signal x consisting of the sum of sine waves of 1.75 kHz and 2 kHz. We are sampling x at a rate of 3 kHz. Will we be able to reconstruct the original signal after...
-
Arlington Merchants reported the following on its income statement for the fiscal years ending December 31, 2016 and 2015. 2016 2015 Sales $4,857,500 $4,752,900 Cost of goods sold 3,258,950 3,207,000...
-
In the following reactions, label the conjugate acidbase pairs and specify within each pair which is the acid and which is the base. Then draw the curved-arrow notation for these reactions in the...
-
Find Vx in the circuit of Fig. 2.85. Figure 2.85 For Prob. 2.21. 1 15 V 2
-
Find Vo in the circuit in Fig. 2.85 and the power dissipated by the controlled source?
-
In the circuit shown in Fig. 2.87, determine vx and the power absorbed by the 12-Ω resistor? 1.2 6 A
-
If a set of m+1 data points (x,y) are to be represent by a least squares fit of y=c logx derive an expression for c in terms of x and y.
-
5 If 0 = then 4 cos(0) = sin(0) =
-
Determine the reactions of the given beam using slope deflection method. P = 25 kN, P2 = 25 kN, and w = 25 kN/m P1 P2 2m B 2m C 4m 21 Numerical answer in 4 decimal places and positive values only: RA...
Study smarter with the SolutionInn App