91Ó°ÊÓ

The electric potential along the $x-axis\mathrm{is}V=100x^2$V, where $x$is in meters. What is $E_x$at

(a) $x=0m$and

(b) $x=1m$?

The electric potential along the x-axis is $V=100e^{-2x}V$, where$x$ is in meters. What is $E_x$ at (a)role="math" localid="1649581712352" $x=1.0m$ and (b) role="math" localid="1649581719374" $x=2.0m$?

What is the potential difference $∆V_{34}$in Figure EX26.16?

How much work does the charge escalator do to move $1.0\mathrm{μ}C$ of charge from the negative terminal to the positive terminal of a $1.5V$ battery?

How much charge does a $9.0V$ battery transfer from the negative to the positive terminal while doing $27J$ of work?

How much work does the electric motor of a Van de Graaff generator do to lift a positive ion $(q=e)$ if the potential of the spherical electrode is $1.0MV$?

Figure Q26.2 shows the electric potential as a function of $x$. Draw a graph of $E_x\mathrm{versus}x$in this same region of space.

What is the potential difference between $y_i=-5cm$ and $y_f=5cm$ in the uniform electric field $\stackrel{→}{E}=(120,000\hat{i}-50,000\hat{j})V/m$?

Light from the sun allows a solar cell to move electrons from the positive to the negative terminal, doing $2.4×{10}^{-19}J$of work per electron. What is the emf of this solar cell?

Two 3.0-cm-diameter aluminum electrodes are spaced 0.50 mm apart. The electrodes are connected to a 100 V battery.

a. What is the capacitance?

b. What is the magnitude of the charge on each electrode?