Did you know?
Did you know that the electrical resistance of a wire is inversely proportional to the square root of its radius? This means that as the radius of a wire decreases, its resistance increases. For example, if the resistance is 200 when the radius is 9cm, we can calculate the resistance when the radius is 4cm. By using the inverse relationship, we find that the new resistance can be determined by taking the ratio of the square roots of the two radii and multiply it by the given resistance. So, the resistance when the radius is 4cm would be approximately 377.96 (calculated as 200 * √(4/9)). Understanding this relationship helps in understanding how changing the size of a wire affects its electrical resistance.
