Lab 2 - Capacitors Worksheet X-1 PDF

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PHY132 – LAB 2: CAPACITORS – WORKSHEET Data (40):

Name:

Analysis and Answering Lab Qs(40):

Partners:

TOTAL (80):

TA: 1) Parallel Plate Capacitor: Add Screenshots

a. A = 200 mm2 = ……….….m2;

d = 5.0 mm = ……………m.

κ (dielectric constant )=1(air ) C=

ϵ0 A 1 2 =¿ ……………. (Unit); Q=C ×V = ……………. (Unit); E= C V = …………… 2 d

(Unit).  (Calculated)

C=¿……………. (pF); Q=¿……………. (Unit); E=¿ …………… (Unit).  (Measured in the simulation) Do the measured values agree with the calculated ones? b. A’ (~doubled) = …………. m2;

d = 5.0 mm = ……………m.

κ (dielectric constant )=1(air ) ' ' ' C =¿……………. (pF); Q =¿ ……………. (Unit); E =¿ …………… (Unit).  (Measured

in the simulation) How do the primed values differ from the initial measured values in step a? c. A = 200 mm2 =

m2; d’ (~doubled) = ……………m.

' ' ' C =¿……………. (pF); Q =¿ ……………. (Unit); E =¿ …………… (Unit).  (Measured

in the simulation) How do the primed values differ from the initial measured values in step a? d. A = 200 mm2 = …………. m2;

κ (dielectric constant )=3.5 (paper ) 1

d = 5.0 mm = …………m.

' ' ' C =¿……………. (pF); Q =¿ ……………. (Unit); E =¿ …………… (Unit).  (Measured

in the simulation) How do the primed values differ from the initial measured values in step a? e. Add your comments/ a conclusion – answer questions in the manual for these parts.

f. Calculating the dielectric constant κ for the paper. A = 200 mm2 = ……….….m2; −12

ϵ 0=8.85× 10

Δ x (mm)

d = 5.0 mm = ……………m.

κ ac (paper =3.5)

F /m

0

2

4

6

8

10

12

14

C (pF) P = pico = 10^-12 -0.05952 Slope - m = ……………….. (unit)

κ m = ……………………

(show work) y-intercept - b = ……………….. (unit) ……………………….

κ b=

(show work)

κ ave =

κ m+ κ b = ………………………; 2

………………………. Screenshot of the Logger Pro plot

2

% error with κ ac =

PART II. Capacitors in parallel – sharing charges Capacitors in Parallel:

V 0=9 Volts ,C 1=0.1 F , C 2 =0.2 F

a- Charging C1: Q 1 =C 1∗V 0= …………….. (pC) ;

V 1 ( measured )=¿…………………..(Volt)

b- Sharing the charge stored on C1 with capacitor C2 

V2Meas. (measured across C1 or C2) = …………… (Volt);



Q 1 New =C 1∗V 2 Meas .= ……………(pC) ;



Q net =Q 1 New+Q 2=¿ …………………(pC). How close this value to Q 1from part a?

Q 2 =C 2∗V 2 Meas .= ……….. (pC)

why? 

V 2 Theo. =

Q1 = ………… (V). How close this value to the measured value of C1 +C 2

V2 ? % diff between V 2 Theo . And V 2 Meas . = ………………..%

PART III. Finding an unknown equivalent capacitance of capacitors connected in series

V0 = 9 Volts, 0.2 F. 3

C1 = 0.1 F,

C2 = 0.05 F,

C3 = 0.1 F,

C4 =

a- Charging C1: Q 1=C 1∗V 0= …………….. (pC) ;

V 1 ( measured ) =¿…………………..(Volt)

b- Finding the unknown equivalent capacitance of C2, C3 and C4 Voltage Across each capacitor (Volt) V1New (for step 2) = V2 = V3 = V4 =

Charge on each capacitor Q i = Ci* Vi. (Coulomb) Q1New (for step 2) = Q2 = Q3 = Q4 = Q234 = (this is a conclusion)

What is your note about the charge on each one of the C2, C3 and C4 capacitors?

V234 = V2+ V3+ V4 = …………………. Volt. How close this value to V1New from? why? Do the charge on each capacitor differ from the others? What is Q234 = ……………?

Qtot = Q1New + Q234 = ………………………(C); How close this value to Q 1from part a? why?

Vtot = V1New = V234 = …………………….(V); why?

C tot =

Q tot V tot

=……………………….(F);

C234 = …………………………….. (use the fact that C tot =C1 +C 234 ), why?

C 234 ( accepted )=¿ ………………………. (Use equation (7) in the manual).

% error of C 234 =¿……………………………………… %

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