a. What is the potential of an ordinary AA or AAA battery? (If you’re not sure, find one and look at the label.)

b. An AA battery is connected to a parallel-plate capacitor having 4.0 cm * 4.0 cm plates spaced 1.0 mm apart. How much charge does the battery supply to each plate?

Short Answer

Expert verified

a. Potential of AA or AAA is 1.5 V

b. The charge supplied by battery is2.1×10-11C

Step by step solution

01

Defination of potential 

a. The Potential of AA or AAA is 1.5 V. the difference between the positive terminal and negative terminal of a battery consider as the potential difference.

b.Within a parallel-plate capacitor, the direction of the electric filed goes from positive electrode to negative electrode.

The following equation shows the magnitude of the electric field strength ;

E=ηε0

Here in role="math" localid="1648029333368" ηconsideredaschargedensity

ε0consideredasPermittivity

The electric Potential inside a parallel-plate denoted as;

V=Ed; here d is the distance of two Plates.

02

Equation For Charge within Capacitor

The Potential Difference between the capacitors are as follows;

V=EdV=(ηε0)d[As,E=(ηε0)]Or;V=(QAε0)d[As,η=(QA)]Hence,Q=VdAε0

03

Conversion of Units

The area of capacitor Plates;

A=4cm×4cm=16cm=16×10-4m2

The separation between the Plates;

d=1.0mm=1.0×10-3m

04

Calculation of Supplied Charge

The Eqiation of Supplied charge;

Q=VdAε0

Hence,Q=1.6×10-48.85×10-12C2/Nm21.5V1.0×10-3CThereforetheSuppliedchargeisQ=2.1×10-11C

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