Dimensional formula of voltage

The concept of electricity arises from an observation of nature. We observe a force between objects, that, like gravity, acts at a distance. The source of this force has been given the name charge. A very noticeable thing about electric force is that it is large, far greater than the force of gravity. Unlike gravity, however, there are two types of electric charge. Opposite types of charge attract, and like types of charge repel. Gravity has only one type: it only attracts, never repels. Conductors are made of atoms whose outer, or valence, electrons have relatively weak bonds to their nuclei, as shown in this fanciful image of a copper atom. When a bunch of metal atoms are together, they gladly share their outer electrons with each other, creating a "swarm" of electrons not associated with a particular nucleus. A very small electric force can make the electron swarm move. Copper, gold, silver, and aluminum are good conductors. So is saltwater. Insulators are materials whose outer electrons are tightly bound to their nuclei. Modest electric forces are not able to pull these electrons free. When an electric force is applied, the electron clouds around the atom stretch and deform in response to the force, but the electrons do not depart. Glass, plastic, stone, and air are insulators. Even for insulators, though, electric force can always be turned up high enough to rip electrons away—this is called breakdown. That's what is happening to air molecules when you see a spark. Se...

Dimensions of Resistance Dimensional Formula of Resistance The dimensional formula of resistance is given by, M 1 L 2 T -3 I -2 Where, • M = Mass • I = Current • L = Length • T = Time Derivation Resistance (R) = Voltage × Current -1 . . . . (1) Since, voltage (V) = Electric Field × Distance = [Force × Charge -1] × Distance The 1 L 1 T -2 The dimensional formula of charge = current × time = I 1 T 1 ∴ The dimensional formula of voltage = [Force × Charge -1] × Distance = [M 1 L 1 T -2] × [I 1 T 1] -1 × [L 1] = [M 1 L 2 T -3 I -1] . . . . (2) On substituting equation (2) in equation (1) we get, Resistance (R) = Voltage × Current -1 Or, R = [M 1 L 2 T -3 I -1] × [I] -1 = [M 1 L 2 T -3 I -2] Therefore, resistance is dimensionally represented as M L 2 T -3 I -2. ⇒ Check Other Dimensional Formulas: • • • • •

The term capacitance was simultaneously invented by Ewald Georg von Kleist, a Prussian scientist, and van Musschenbroek, a Dutch physicist Pieter. Both scientists found that the electricity released by the electrostatic machine can be stored for a desired period and can then be released. With the data obtained from their experiments, a device named ‘Leyden Jar’ was made. With the advent of technology, Leyden Jar was later converted into a newly modified device called a capacitor. The structure of the capacitor can be compared to a sandwich. The primary working of the capacitor is to store the produced energy. The capacitor has two plates separated by a dielectric material in the form of conducting product. The Dimensional Formula of capacitance is explained below. The measure of how much separated electric charge can be stored on an electric conductor, or set of conductors, per unit change in electrical potential is called ‘Capacitance’. A potential difference is established between two initially unequally charged conductors when an electric charge is transferred between them. A positive conductor becomes equally charged, and the negative conductor becomes similarly charged. Capacitance is calculated by dividing the amount of the charge q between either conductor by the potential difference V between the conductors, or C = q/V. Capacitance Unit The unit of electrical capacitance is Farad(F). This name is given after the name of Scientist Micheal Faraday. The formula of cap...

Hello, we have been asked: i) State the dimensions of voltage. The work W done to move an amount of charge Q (coulombs) through a potential difference of V volts is given by W = VQ. ii) state it's SI units. Would I be correct to say i) the dimensions are V=J/C or could I word it V=W/Q ? ii) the SI units are joules and coulombs ? Thanks kindly for any help. ii) is correct. i) Fundamental Dimensions are: mass, length, time, electric charge, and temperature, represented by the symbols M, L, T, Q, and Θ . For example: dimensions of acceleration are: LT ‒2. So, in addition to giving the dimensions of Voltage as: mass, distance, time and electric charge, you need to have an exponent where it's needed. i) the dimensions are V=J/C or could I word it V=W/Q ? Both are correct in this case, but that is more or less coincidental. The point here is that the quantity V (voltage) is measured in units of volt, which is also denoted by V. It is common to write the units of any quantity Q as [Q]. So if the formula for V is V = W / Q, then you could also write [V] = [W] / [Q] - i.e.: the units of V(oltage) are the units of W(ork) divided by the units of Q (charge). If you use SI units, then [V] = V, [W] = J and [Q] = C. In addition to what Sammy said, maybe it is good to note the difference between physical quantities and their units. Both are correct in this case, but that is more or less coincidental. The point here is that the quantity V (voltage) is measured in units of volt, which is al...

Teacher Support The learning objectives in this section will help your students master the following standards: • (5) Science concepts. The student knows the nature of forces in the physical world. The student is expected to: • (F) design, construct, and calculate in terms of current through, potential difference across, resistance of, and power used by electric circuit elements connected in both series and parallel combinations. In addition, the High School Physics Laboratory Manual addresses content in this section in the lab titled: Work, Energy and Power in Circuits, as well as the following standards: • (6) Science concepts. The student knows that changes occur within a physical system and applies the laws of conservation of energy and momentum. The student is expected to: • (C) calculate the mechanical energy of, power generated within, impulse applied to, and momentum of a physical system. Section Key Terms electric power Power is associated by many people with electricity. Every day, we use electric power to run our modern appliances. Electric power transmission lines are visible examples of electricity providing power. We also use electric power to start our cars, to run our computers, or to light our homes. Power is the rate at which energy of any type is transferred; electric power is the rate at which electric energy is transferred in a circuit. In this section, we’ll learn not only what this means, but also what factors determine electric power. To get started...

• • • • Question:1.) What is the SI Unit of Charge, Voltage and Capacitance? Write down the dimensional formula as well for each physical quantity. 2.) Assume initial Charge (Q0)=1.5mC, Capacitance (C)=1 microFarad, Resistance (R)=1kOhms. Now plot the following two equations time in seconds: (i) Q=Q0(1−e(−t/RC)) (ii) Q=Q0(e(−t/RC)) Take t ranging from seconds in steps of 1 1.) What is the SI Unit of Charge, Voltage and Capacitance? Write down the dimensional formula as well for each physical quantity. 2.) Assume initial Charge ( Q 0 ​ ) = 1.5 mC, Capacitance ( C ) = 1 microFarad, Resistance ( R ) = 1 kOhms. Now plot the following two equations time in seconds: (i) Q = Q 0 ​ ( 1 − e ( − t / RC ) ) (ii) Q = Q 0 ​ ( e ( − t / RC ) ) Take t ranging from seconds in steps of 1 second. Previous question Next question

Dimensions of Capacitance Dimensional Formula of Capacitance The dimensional formula of Capacitance is given by, M -1 L -2 T 4 I 2 Where, • M = Mass • I = Current • L = Length • T = Time Derivation Capacitance (C) = Charge × Voltage -1 . . . . (1) Since, Charge = Current × Time ∴ The 1 T 1] . . . . (2) And, Voltage = Electric Field × Distance . . (3) Electric Field = [Force × Charge -1] The dimensional formula of force and charge is [M 1 L 1 T -2] and [I 1 T 1] respectively. ∴ The dimensional formula of Electric Field = [M 1 L 1 T -2] × [I 1 T 1] -1 = [M 1 L 1 T -3 I -1] . . . (4) On substituting equation (4) in equation (3) we get, The dimensional formula of Voltage = [M 1 L 1 T -3 I -1] × [L 1] = [M 1 L 2 T -3 I -1] . . . . (5) On substituting equation (5) and (2) in equation (1) we get, Capacitance = Charge × Voltage -1 Or, C = [I 1 T 1] × [M 1 L 2 T -3 I -1] -1 = [M -1 L -2 T 4 I 2] Therefore, the Capacitance is dimensionally represented as [M -1 L -2 T 4 I 2]. ⇒ Check Other Dimensional Formulas: • • • • •