Physics

Physics

Problem

In a laboratory experiment, charges are transferred through a battery of potential difference 120 V. a. (i) Calculate the charge, in coulombs, that corresponds to 5.0×10195.0 \times 10^{19} electrons. b. (ii) Find the work done by the battery in moving this charge between its terminals. c. (iii) A further charge of 2.0 C2.0\,\text{C} is then moved through the same battery. Determine the total work done for both transfers.
Intuitive explanation

The key idea here is understanding how a battery's potential difference relates to the energy it transfers to moving charges. Think of voltage as the "energy per charge" that the battery is willing to push through a circuit—120 V means each coulomb of charge gains 120 joules of energy. To solve problems about charge transfer, you'll connect this energy relationship (W=qVW = qV) with whatever quantity the problem asks for (current, time, total energy, etc.).

Intuitive explanation

The key idea here is understanding how a battery's potential difference relates to the energy it transfers to moving charges. Think of voltage as the "energy per charge" that the battery is willing to push through a circuit—120 V means each coulomb of charge gains 120 joules of energy. To solve problems about charge transfer, you'll connect this energy relationship (W=qVW = qV) with whatever quantity the problem asks for (current, time, total energy, etc.).

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