Two 3.0 mm × 3.0 mm electrodes are held 0.10 mm apart and are attached to 9.0 V battery. Without disconnecting the battery, a 0.10-mm-thick sheet of Mylar is inserted between the electrodes.

a. What is the capacitor's potential difference before the Mylar is inserted?

b. What is the capacitor's electric field before the Mylar is inserted?

c. What is the capacitor's charge before the Mylar is inserted?

d. What is the capacitor's potential difference after the Mylar is inserted?

e. What is the capacitor's electric field after the Mylar is inserted?

f. What is the capacitor's charge after the Mylar is inserted?
The constant K will be 3.1

a) 9v

b) 90kv/m

c) 7.17pC

d) 9v

e) 29kv/m

f) 22.3pC

Explanation:

Capacitor's potential difference before the Mylar is inserted is

- The potential difference across the two plates is same as the voltage provided by the battery V = 9V which remains constant throughout.

The capacitor's electric field before the Mylar is inserted is, E = v/kd

E = 9 / 1*10^-4

E = 90000v/m

The capacitor's charge before the Mylar is inserted is, C = k*A*ε / d

C = 9*10^-6 * 8.85*10^-12 / 1*10^-4

C = 7.965*10^-13

C = 0.7965pF

Q = CV, 0.7965 * 9

Q = 7.17pC

Capacitor's potential difference after the Mylar is inserted, as stated earlier is constant at v = 9v

Capacitor's electric field after the Mylar is inserted, E = v/kd

E = 9/1*10^-4 * 3.1

E = 9/3.1*10^-4

E = 29032v/m

Capacitor's charge after the Mylar is inserted will be, C = k*A*ε / d

C = (3.1 * 9*10^-6 * 8.85*10^-12) / 1*10^-4

C = 2.47*10^-16 / 1*10^-4

C = 2.47*10-12

C = 2.47pF

Q = CV, = 9 * 2.47 = 22.3pC

it is given that trillions of microbes make up to 1% to 3% of the body mass.

let's take average of this percentage: 2%

consider the average mass of the human body as 70 kg.

then, trillions of microbes would have mass  

therefore, 100 trillion micro-organisms would weigh:

this is an approximate value and could change depending on the mass of the human body and percentage of the microbes present in it.

average mass per microorganism =