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Chapter 22: Problem 37

What's the potential difference between the terminals of a battery that can impart \(7.2 \times 10^{-19} \mathrm{J}\) to each electron that moves between the terminals?

Short Answer

Expert verified
The potential difference between the terminals of the battery is 4.5 Volts

Step by step solution

01

Identify Constants and Variables

Let's first identify all the constants and variables in the problem. Here the amount of energy imparted to each electron (W) is \(7.2 \times 10^{-19} \mathrm{J}\) and the charge of an electron (Q) is \(1.6 \times 10^{-19} \mathrm{C}\)
02

Use the Potential Difference Formula

We'll use the formula for voltage also known as potential difference which is \(V = \frac{W}{Q}\) where V is the potential difference, W is the work done, and Q is the charge. Now substitute the values of work done and the charge in the potential difference formula.
03

Calculate Potential Difference

After substituting the values, the equation becomes \(V = \frac{7.2 \times 10^{-19} \mathrm{J}}{1.6 \times 10^{-19} \mathrm{C}}\). Calculating this will give our answer.

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Most popular questions from this chapter

In considering the potential of an infinite flat sheet, why isn't it useful to take the zero of potential at infinity?

A thin spherical shell has radius \(R\) and total charge \(Q\) distributed uniformly over its surface. Find the potential at its center.

A sphere of radius \(R\) carries negative charge of magnitude \(Q,\) distributed in a spherically symmetric way. Find an expression for the escape speed for a proton at the sphere's surface-that is, the speed that would enable the proton to escape to arbitrarily large distances starting at the sphere's surface.

The electric field within a cell membrane is approximately \(8.0 \mathrm{MV} / \mathrm{m}\) and is essentially uniform. If the membrane is \(10 \mathrm{nm}\) thick, what's the potential difference across the membrane?

A proton, an alpha particle (a bare helium nucleus), and a singly ionized helium atom are accelerated through a \(100-\mathrm{V}\) potential difference. How much energy does each gain?
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