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Chapter 26: Q. 11 (page 738)

Figure EX26.11 is a graph of $V versus x$ . Draw the corresponding graph of $E_{x} versus x$ .

Short Answer

Expert verified

We've drawn the required graph with $E_{x} = - 2000$

Step by step solution

01

Given information and theory used

Given :

Theory used :

The field component $E$ is equal to minus the slope of the graph of the potential $V$

02

Calculating Ex

The field component $E$ is equal to minus the slope of the graph of the potential $V$

As a result, for $x$ between $0 and 10 c m and x > 20 c m$ , because $V$ does not vary. Between $10 and 20 c m$ , the potential varies in a consistent manner from $- 100 V to 100 V,$ assuming a constant field of :

$E_{x} = - \frac{100 V - (- 100 V)}{0.2 m - 0.1 m} = - 2000 V / m .$

03

Formulating table and graph

Table :

Position	Electric Field
$0 - 10 c m$	$0 V / m$
$10 - 20 c m$	$- 2000 V / m$
$20 - 30 c m$	$0 V / m$

Graph :

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Most popular questions from this chapter

Two $2.0 c m * 2.0 c m$ metal electrodes are spaced $1.0 m m$ apart and connected by wires to the terminals of a $9.0 V$ battery.

a. What are the charge on each electrode and the potential difference between them?

The wires are disconnected, and insulated handles are used to pull the plates apart to a new spacing of $2.0 m m$ .

b. What are the charge on each electrode and the potential difference between them?

In Problems 75 through 77, you are given the equation(s) used to solve a problem. For each of these, you are to

a. Write a realistic problem for which this is the correct equation (s).

b. Finish the solution to the problem.

76). $400 nC = (100 V) C$

C = \frac{(8.85 脳 10^{- 12} C^{2} / {Nm}^{2}) (0.10 m 脳 0.10 m)}{d}

High-frequency signals are often transmitted along a coaxial cable, such as the one shown in FIGURE P26.66. For example, the cable TV hookup coming into your home is a coaxial cable. The signal is carried on a wire of radius $R_{1}$ while the outer conductor of radius $R_{2}$ is grounded (i.e., at $V = 0 V$ ). An insulating material fills the space between them, and an insulating plastic coating goes around the outside.

a. Find an expression for the capacitance per meter of a coaxial cable. Assume that the insulating material between the cylinders is air.

b. Evaluate the capacitance per meter of a cable having $R_{1} = 0.50 m m$ and $R_{2} = 3.0 m m .$

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 $1.0 M V$ ?

The parallel-plate capacitor in Figure Q26.11 is connected to a battery having potential difference $鈭� V_{b a t}$ . Without breaking any of the connections, insulating handles are used to increase the plate separation to $2 d$ .

a. Does the potential difference $鈭� V_{C}$ change as the separation increases? If so, by what factor? If not, why not?

b. Does the capacitance change? If so, by what factor? If not, why not?

c. Does the capacitor charge $Q$ change? If so, by what factor? If not, why not?

See all solutions

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