A uniform wire of resistance R is shaped into a regular n sided polygon where n is even. Find the equivalent resistance between (i) opposite corners of polygon (ii) adjacent corners of polygon .
Text Solution
AI Generated Solution
To solve the problem of finding the equivalent resistance between opposite corners and adjacent corners of a uniform wire shaped into a regular n-sided polygon where n is even, we can follow these steps:
### Step 1: Understand the Geometry of the Polygon
- A regular n-sided polygon has n equal sides and n vertices. For this problem, we will label the vertices as A, B, C, ..., up to the n-th vertex.
### Step 2: Find the Resistance Between Opposite Corners
1. **Identify Opposite Corners**: Let's consider two opposite corners, say A and C (for n=4, A and C are opposite).
2. **Divide the Wire**: The wire can be divided into n equal segments, each with resistance \( R/n \).
...
Topper's Solved these Questions
CURRENT ELECTRICITY
PRADEEP|Exercise Conceptual Problems|3 Videos
CURRENT ELECTRICITY
PRADEEP|Exercise Very short Q/A|7 Videos
COMMUNICATION SYSTEMS
PRADEEP|Exercise MODEL TEST PAPER-2|9 Videos
DUAL NATURE OF RADIATION AND MATTER
PRADEEP|Exercise Exercise|191 Videos
Similar Questions
Explore conceptually related problems
A uniform wire of resistance R is slaped into a regular n-sided polygon (n is seven). The equivalent resistance between any two corners can have :
A uniform wire of resistance R is shaped into a regular n- sided polygon ( n is even), The equivalent resistance between any two corners can have. (i) the maximum value (R )/(4) (ii) the minimum value ( R)/(n) (iii) the minimum value R((n -1)/(n^2)) (iv) the minimum value (R )/(n) .
In the network shown, each resistance is equal to R . The equivalent resistance between diagonally opposite corners is
Four resistances, each of 10 Omega , are connected to form a square as shown in (Fig. 3.52), find the equivalent resistance between the opposite corners A and C . .
If an equilateral triangle is made of a uniform wire is resistance R, the equivalent resistance between the ends of sides is
If theta is the internal angle of n sided regular polygon,then sin theta is equal to:
Four wires of equal length and of resistance 5ohm each are connected in the form of a square. The equivalent resistance between the diagonally opposite corners of the square is
A circle of radius r is inscribed in a regular polygon with n sides (the circle touches all sides of the polygon). If the perimeter of the polygon is p, then the area of the polygon is
If r is the radius of inscribed circle of a regular polygon of n-sides ,then r is equal to
PRADEEP-CURRENT ELECTRICITY-Problems for Practice (B)
