Use the following constants if necessary. Coulomb constant, k=8.987×109N⋅m2/C2. Vacuum permittivity, ϵ0=8.854×10−12F/m. Magnitude of the Charge of one electron, e=−1.60217662×10−19C. Mass of one electron, me=9.10938356×10−31kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb .   Questions: A line of charge of length L=17cm with charge Q=140.0nC lies along the positive Y axis whose one end is at the origin O. A point charge q=190.0μC lies on point P=(32,8.5) Here the coordinates are given in centi-meters. a) Find the Electric field at P due to the rod. x component of E:(Give your answer to at least three significance digits.) y component of E:(y component of E Give your answer to at least three significance digits.)   b) Find the charge density of the rod? why is it in C/m but not in C/m2? Charge density:(Give your answer to at least three significance digits.)   PartII There is a charge q1=26nC at p1=(8.5,0) and q2=16nC at p2=(15,14). Rememberallthecoordinatesareincentimeters c) Find E field due to the rod at point p1 x component of the field:(Give your answer to at least three significance digits.)   y component of the field:(Give your answer to at least three significance digits.)     d) Find the E field at p1 due to the rod and q2 charge x component of the field Give your answer to at least three significance digits. y component of the field Give your answer to at least three significance digits.     e) What is the angle with the +x axis made by E obtained in (d)? Angle Give your answer to at least three significance digits.     f) What is the net force on q1? x component of the Force Give your answer to at least three significance digits.     y component of the Force Give your answer to at least three significance digits.

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Use the following constants if necessary. Coulomb constant, k=8.987×109N⋅m2/C2. Vacuum permittivity, ϵ0=8.854×10−12F/m. Magnitude of the Charge of one electron, e=−1.60217662×10−19C. Mass of one electron, me=9.10938356×10−31kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb .

 

Questions:

A line of charge of length L=17cm with charge Q=140.0nC lies along the positive Y axis whose one end is at the origin O. A point charge q=190.0μC lies on point P=(32,8.5) Here the coordinates are given in centi-meters.

a) Find the Electric field at P due to the rod.

x component of E:(Give your answer to at least three significance digits.)

y component of E:(y component of E

Give your answer to at least three significance digits.)

 

b) Find the charge density of the rod?

why is it in C/m but not in C/m2?

Charge density:(Give your answer to at least three significance digits.)
 

PartII

There is a charge q1=26nC at p1=(8.5,0) and q2=16nC at p2=(15,14). Rememberallthecoordinatesareincentimeters

c) Find E field due to the rod at point p1

x component of the field:(Give your answer to at least three significance digits.)
 
y component of the field:(Give your answer to at least three significance digits.)
 
 

d) Find the E field at p1 due to the rod and q2 charge

x component of the field

Give your answer to at least three significance digits.

y component of the field

Give your answer to at least three significance digits.

 

 

e) What is the angle with the +x axis made by E obtained in (d)?

Angle

Give your answer to at least three significance digits.

 

 

f) What is the net force on q1?

x component of the Force

Give your answer to at least three significance digits.

 

 
y component of the Force

Give your answer to at least three significance digits.

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