Voltage dimensional formula

Teacher Support The learning objectives in this section will help your students master the following standards: • (5) The student knows the nature of forces in the physical world. The student is expected to: • (C) describe and calculate how the magnitude of the electrical force between two objects depends on their charges and the distance between them. Section Key Terms Teacher Support Ask students whether they have seen movies that use the concept of fields as in force fields. Have them describe how such fields work. Describe how gravity can be thought of as a field that surrounds a mass and with which other masses interact. Explain that electric fields are very similar to gravitational fields. You may have heard of a force field in science fiction movies, where such fields apply forces at particular positions in space to keep a villain trapped or to protect a spaceship from enemy fire. The concept of a field is very useful in physics, although it differs somewhat from what you see in movies. A field is a way of conceptualizing and mapping the force that surrounds any object and acts on another object at a distance without apparent physical connection. For example, the gravitational field surrounding Earth and all other masses represents the gravitational force that would be experienced if another mass were placed at a given point within the field. Michael Faraday, an English physicist of the nineteenth century, proposed the concept of an electric field. If you know the e...

Step 1: Establish Resistance in terms of Standard Quantities The formula for Resistance according to Ohm's law is given as, R = V I Where, V is the potential difference, and I is the electric current. The formula for potential difference is, V = E L Where, E is the electric field, L is the length between the two points in a conductor. The formula for electric field is, E = F q Where, F is force, and q is electric charge. ∴ E = m a qwhere m is the mass and a is the acceleration. ∴ V = m a L q ∴ R = m a L q I Step 2: Evaluate the Dimensional Formula Substitute the standard units into the above equation to get, L = k g . m s - 2 . m A s . A = k g . m 2 . s - 3 . A - 2 = M L 2 T - 3 A - 2 Hence the dimensional formula for inductance is M L 2 T - 3 A - 2.