A capacitor is constructed of two parallel plates of side l separated by a distance d. A material of dielectric constant k is inserted a distance x as shown in the figure. The potential difference between the plates is V. The energy stored by the system is: a. U=(1/2)(ϵ0l/d)(x+l(k−1))V2 b. U=(1/2)(ϵ0l/d)(l−x(k−1))V2 c. U=(1/2)(ϵ0l/d)(x−l(k−1))V2 d. U=(1/2)(ϵ0l/d)(l+x(k−1))V2

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter26: Electric Potential
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Problem 61PQ: The distance between two small charged spheres with charges qA = 8.35 C and qB = +4.90 C is 48.0 cm....
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A capacitor is constructed of two parallel plates of side l separated by a distance d. A material of dielectric constant k is inserted a distance x as shown in the figure. The potential difference between the plates is V. The energy stored by the system is:

a. U=(1/2)(ϵ0l/d)(x+l(k−1))V2

b. U=(1/2)(ϵ0l/d)(l−x(k−1))V2

c. U=(1/2)(ϵ0l/d)(x−l(k−1))V2

d. U=(1/2)(ϵ0l/d)(l+x(k−1))V2
O a. U = (x +(k – 1))V²
а.
O b. U = (1 – æ(k – 1))V²
Egl
O c.U = (x – (k – 1))V?
2 d
O d. U = } (1 + ¤(k – 1))V²
Transcribed Image Text:O a. U = (x +(k – 1))V² а. O b. U = (1 – æ(k – 1))V² Egl O c.U = (x – (k – 1))V? 2 d O d. U = } (1 + ¤(k – 1))V²
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