swapnilster said:There is an infinite square grid with each side of every cell making up the grid of resistance r.
What is the equivalent resistance between two adjacent points on the grid?
An infinite grid is a theoretical network of interconnected resistors that extends infinitely in all directions. It is used to represent a complex circuit with an infinite number of resistors, making it easier to calculate the equivalent resistance.
Equivalent resistance for an infinite grid is calculated using the formula R = ρ/2A, where ρ is the resistivity of the material and A is the cross-sectional area of the resistors.
No, an infinite grid is a theoretical concept and cannot be physically created. It is used as a simplification in circuit analysis to make calculations easier.
The equivalent resistance in an infinite grid represents the total resistance of the circuit. It is used to calculate the current and voltage in the circuit, making it an important factor in circuit analysis.
The number of resistors in an infinite grid has a direct impact on the equivalent resistance. As the number of resistors increases, the equivalent resistance decreases, approaching a limit of 0 as the number of resistors approaches infinity.