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A capacitor consists of square conducting plates 29 cm on a side and 5.0 mm apar

ID: 1499857 • Letter: A

Question

A capacitor consists of square conducting plates 29 cm on a side and 5.0 mm apart, carrying charges ± 1.8 C .

Part A

Find the electric field between the plates.

Express your answer using two significant figures.

4.9•106

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Part B

Find the potential difference between the plates.

Express your answer using two significant figures.

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Part C

Find the stored energy.

Express your answer using two significant figures.

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E =

4.9•106

  MV/m  

Explanation / Answer

we know the formula

C=(e0*A)/d

C= (8.85*10^(-12) * 0.29 * 0.29)/(5*10^(-3))

C=1.488*10^(-10) F

C= 148.8 pF

Q=CV

V=Q/C

V=1.8*10^(-6)/(1.488*10^(-10))

V=12096.77 ..................b)

E=V/d

E=12096.77 /(5*10^(-3))

E=2419354 V/m   ...........a)

Energy= 0.5*CV^2

Energy = 0.5*1.488*10^(-10)*(12096.77)^2

Energy = 0.010887 = 10.887 mJ ..........c)