magnetic field at the center of a polygon
Consider a regular polygon with $N$ sides (and therefore $N$ vertices) such that the distance between its center $O$ and each of its vertices is $r$. At each vertex of the polygon, a charge $q$ is placed (see figure 1). What is the electric field ${\bf E}$ produced by these charges at the point $O$? INTRODUCTION: I had been doing some problems on "Magnetic field due to a current." Now i have one in which one has to find the field at the centre of a regular n-sided polygon. I dont know why i'm not getting it. what will be the magnatic field at the centre of an n -sided regular polygon if centre to the vertex distance is 'a' and the current is B at center of square loop and regular polygon. Pollack and Stump, 8-11 pg. 299. Find the magnetic field at the center of a square loop of size 2a X 2a carrying current I. Repeat the calculation for a regular polygon with n sides, letting the perpendicular. find magnetic field at the center of regular polygon having n sides and edge length=l? what if n----->infinity Magnetic field at the centre of regular polygon of 'n' sides which is formed by wire, which carries current I and side of polygon is 'a Find the magnetic field at the center of a square loop of size 2a x 2a carrying current I. Repeat the calculation for a regular polygon with n sides, letting the perpendicular distance from the center to any side be a. Show that the result approaches the field at the center magnetic field at the center of hexagon ... How to find Magnetic Field at the Centre of ANY POLYGON!!! Find the field at the center of a regular n-sided polygon, carrying a steady current I. Again, let R be the distance from the center to any side. Check that your formula reduces to the field at the center of a circular loop, the limit n rightarrow infinity. Title: Comparing a current-carrying circular wire with polygons of equal perimeter; Magnetic field versus magnetic flux 5.22). Find the field at the center of a regular n-sided polygon, carrying a steady current I. Again, let R be the distance from the center to any side. Check that your formula reduces to the field at the center of a circular loop, the limit n rightarrow infinity. The direction of the magnetic field at a distance from the wire is tangential to a circle of radius ,as shown. Note that both the angles and are acute angles. where the direction of the field is given by the Right hand rule. A conductor in the shape of an n-sided polygon of side carries current . Physics equations/Magnetic field calculations. The rest of solution resembles the calculation of the magnetic field at the center of a loop. Title: Comparing a current-carrying circular wire with polygons of equal perimeter; Magnetic field versus magnetic flux Find the magnetic field at the center of a square loop of size 2a X 2a carrying current I. Repeat the calculation for a regular polygon with n sides, letting the perpendicular distance from the center to any side be a. Show that the result approaches the field at the center of a circular loop of radius a in the limit . Unformatted text preview: PHYS 100B (Prof. Congjun Wu) Solution to HW 2 January 8, 2011 Problem 1 (Griths 5.8) (a) Find the magnetic field at the center of a square loop, which carries a steady current I . Show that the magnitude of the magnetic field B at the center of a loop of wire carrying a current I and shaped like a regular plane polygon of 2n sides, the distance between parallel sides being 2a, is. Chapter 8 Introduction to Magnetic Fields ... form a closed polygon, ... torque with respect to the center of the loop is Sample questions E&MFall ... Find the magnetic field due to certain current ... Find the magnetic field at the center of a sixsided polygon. 1 Expert Answers - what is the magnetic field at the center of n sided regular polygon (derivation)? . Answer this question and win exciting prizes magnetic field at the center of hexagon kartik ... How to find Magnetic Field at the Centre of ANY POLYGON!!! magnetic filed at the centre of regular polygons which are formed by constant current carrying wire in equilateral triangle A current I flows along a thin wire shaped as a regular polygon with n sides which can be ... uniform magnetic field. Now find the magnetic field at the center of a n-sided regular polygon. 6-8 pg. letting the perpendicular distance from the center to any side be a. LIMITS (From Reitz. with size 2a 2a lies in the xy-plane centered at the origin. from the center to one end of the solenoid. It comes from the expression for vecF_B experienced by a charge q moving with velocity vec v in a magnetic field vecB ... lengths dvecs form a closed polygon. Chapter 8 Introduction to Magnetic Fields ... form a closed polygon, ... torque with respect to the center of the loop is If a direct current of 5 A ows in the current, nd the magnetic eld intensity at (a) (2, 2, 0), (b) (0, -2, 0), and (C) (0, 0, 2)~ 7.11 Find H at the center C of an equilateral triangular loop of side 4 m carrying 5 A of current as in Figure 7.31. 7.12 A rectangular loop carrying 10 A of current is placed on z = 0 plane as shown in Fig- ure 7.32. An improved formula is derived for accurately computing the near-zone magnetic field of a small ... expression for the magnetic field of the loop. Then let's use the Biot-Savart Law to find the magnetic field around a current ... the magnetic field at the center of a ... nobody likes Biot-Savart. It comes from the expression for vecF_B experienced by a charge q moving with velocity vec v in a magnetic field vecB ... lengths dvecs form a closed polygon. A current I flows along a thin wire shaped as a regular polygon with n sides which can be ... uniform magnetic field. An improved formula is derived for accurately computing the near-zone magnetic field of a small ... expression for the magnetic field of the loop. I've seen some different ways to compute tha magnetic field at the center of a solenoid, and sometimes people say that the result $B=\mu_0 n i$ is just an approximation. It is desired to find the magnetic field at the centre O of the coil. Suppose the entire ... Also distance of each current element from the center O is a. Therefore : On May 1, 2000 Matthew I. Grivich (and others) published: The magnetic field of current-carrying polygons: An application of vector field rotations 1 Answer to (a) Find the magnetic field at the center of a square loop, which carries a steady current I. Let R be the distance from center to side (Fig.