Suppose the capacitor in Figure 26.9 has a plate separation dis- tance d and the plates carry charges +q and Fq when the capaci- tor is connected to a battery that maintains apotential difference V between its terminals. If a metal slab of thickness d/2 is in- serted midway between the plates while the battery remains con- nected, what happens to (a) the magnitude of the electric field between the plates and (b) the quantity of charge on the plates?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter20: Electric Potential And Capacitance
Section: Chapter Questions
Problem 5CQ
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Please help with the 2 questions in example 26.1
As Checkpoint 26.6 demonstrates, the effect of the slab
is to make the electric field in part of the
capacitor plates zero, thus reducing the magnitude of the
potential difference between the plates for a given amount
of charge on them. As the next example shows, the converse
of this fact is that, for a given potential difference between its
plates, the capacitor can store more energy with the slab in-
serted than it can without the slab, In otheT words, the slab
increases the capacitor's capacity to store charge.
space
between the
Example 26.1 Metal-slab capacitor
in
Suppose the capacitor in Figure 26.9 has a plate separation dis-
Lance d and the plates carry charges +q and 14 when the capaci-
lor is connected to a battery that maintalns potential difference
Van between its terminals. Ifa metal slab of thickness d/2 Is in-
serted midway between the platles while the batlery remains con-
nected, what happens to (a) the magnitude of the electric field
between the plales and (b) the quantity of charge on the plates?
Ou
tar
the
d/
the
(b)
dou
GETTING STARTED I am given the plate separalion distance
and plate charges for a capacitor connected to a battery and I
must delermine how the electric field magnitude between the
plates and the quantily of charge on each plate change when a
metal slab is inserted. Because the capacitor remains connected
to The battery, the potential difference across the capacitor is
Uxed. Because the slab is conducting, the electric field inside the
ab is always ZETO.
mea.
conn
tweer
Ikno
Cnce.
decrea
Transcribed Image Text:As Checkpoint 26.6 demonstrates, the effect of the slab is to make the electric field in part of the capacitor plates zero, thus reducing the magnitude of the potential difference between the plates for a given amount of charge on them. As the next example shows, the converse of this fact is that, for a given potential difference between its plates, the capacitor can store more energy with the slab in- serted than it can without the slab, In otheT words, the slab increases the capacitor's capacity to store charge. space between the Example 26.1 Metal-slab capacitor in Suppose the capacitor in Figure 26.9 has a plate separation dis- Lance d and the plates carry charges +q and 14 when the capaci- lor is connected to a battery that maintalns potential difference Van between its terminals. Ifa metal slab of thickness d/2 Is in- serted midway between the platles while the batlery remains con- nected, what happens to (a) the magnitude of the electric field between the plales and (b) the quantity of charge on the plates? Ou tar the d/ the (b) dou GETTING STARTED I am given the plate separalion distance and plate charges for a capacitor connected to a battery and I must delermine how the electric field magnitude between the plates and the quantily of charge on each plate change when a metal slab is inserted. Because the capacitor remains connected to The battery, the potential difference across the capacitor is Uxed. Because the slab is conducting, the electric field inside the ab is always ZETO. mea. conn tweer Ikno Cnce. decrea
Figure 26.9 Inserting a conducting slab between the plates of a parallel-
plate capacitor
(a)
(b)
meta sरab
+4
Teetren altengg themseiveN Ao that
lecticficl wthin sla N zero.
26.6 Suppose flie capacilor n Tigure 26.918 charged and
then dsouecled from the battery. () She cond ing slab
s inserted in the capacitor, as in Figure 26.9 does the amount
Dl tharge onfhe capacitor plates incease, decredse. or slay thc
sanie )Ho
puch charge accunulate hside of the
slab onte itAnsurted? a What is the potential ditlerence
across thhe nuela
Transcribed Image Text:Figure 26.9 Inserting a conducting slab between the plates of a parallel- plate capacitor (a) (b) meta sरab +4 Teetren altengg themseiveN Ao that lecticficl wthin sla N zero. 26.6 Suppose flie capacilor n Tigure 26.918 charged and then dsouecled from the battery. () She cond ing slab s inserted in the capacitor, as in Figure 26.9 does the amount Dl tharge onfhe capacitor plates incease, decredse. or slay thc sanie )Ho puch charge accunulate hside of the slab onte itAnsurted? a What is the potential ditlerence across thhe nuela
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