Question

Electrial Potential of a Battery oc It increases the potential of the battery Learning Goal: To understand electrical potential, electrical potential energy, and the relationship between them. Submit Previous Answers Correct Electric potential and electric potential energy are related but different concepts. Be careful not to confuse the terms. Electrical potential energy UE is the potential energy that a charge q has due to its position relative to other charges. The electric potential V at a specific position is a measure of the amount of potential energy per unit charge a particle of net charge q would have at that position. In other words, if a charge q has an electric potential energy UE, the electric potential V at the location of q is Just as gravitational potential energy is converted to kinetic energy when something falls, electrical potential energy is converted to kinetic energy when charge goes from a high potential energy state to a low potential energy state. V= Part F If you wanted to move an electron from the positive to the negative terminal of the battery, how much work W would you need to do on the electron? Enter your answer numerically in joules. Recall that the gravitational potential energy (Ug = mgy) of an object of mass m depends on where you define y = 0. The difference AU, in gravitational potential energy between two points is the physically relevant quantity. Similarly, for electric potential energy, the important quantity is the change in electric potential energy: AUE=qAV. This is why we often just measure the potential difference AV. When we say that the potential of a car battery is 12 V, we mean that the potential difference between the positive and negative terminals of the battery is 12 V. View Available Hint(s) V AEO O 2 ? W = Submit Provide Feedback

Answer 1

Electric field points from higher potential to lower potential. Since electron is negatively charged, electric force acting on electron will point towards positive terminal . Hence to move the electron , one needs to apply a force towards the negative terminal.

Displacement vector is towards negative terminal and force( external) is also towards negative terminal.

Work done on electron is product of displacement and force , which is a positive quantity.

In moving the electron from positive terminal  to negative terminal would increase the potential energy, giving positive work done.

$W=e\Delta V=(1.6*10^{-19}) (12)=1.92*10^{-18}\,J$