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The emf of a particular flashlight battery is 1.7 V. If the battery is 4.5 cm long and radius of cylindrical battery is 1 cm, estimate roughly the amount of charge on the positive end plate of the battery.

Short Answer

Expert verified

The amount of charge on the positive end of the battery plate is1.05110-13C

Step by step solution

01

Identification of given data

The emf of the flashlight battery is =1.7V

The length of battery is l=4.5cm

The radius of cylindrical battery isr=1cm

The amount of charge at the positive end of battery plate is found by the product of the capacitance and emf of the battery.

02

Determination of formula for amount of charge on the positive end of battery plate

The capacitance of the cylindrical battery is given as:C=0r2l

Here, 0is the permeability of free space and its value is8.85410-12C2/Nm2 .

03

Determination of amount of charge on the positive end of battery plate

Substitute all the values in above equation.

C=8.85410-12C2/Nm21cm1m100cm24.5cm1m100cmC=6.1810-14F

The amount of charge on the positive end of the battery plate is given as:

q=C

Substitute all the values in above equation.

q=6.1810-14F1.7Vq=1.05110-13C

Therefore, the amount of charge on the positive end of the battery plate is1.05110-13C

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